QUALIFICATION CHARACTERIZATION
OF MAJOR FIELD OF STUDY “MATHEMATICS AND INFORMATICS” FOR “BACHELOR OF SCIENCE” DEGREE
WITH PROFESSIONAL QUALIFICATION “TEACHER IN MATHEMATICS,
INFORMATICS AND ICT”
I. Requirements to professional qualities and competences of students, completed this
major field of study South-West University “Neofit Rilski” prepares qualified experts in Mathematics and
Informatics that can apply their knowledge and skills in the area of science, culture,
education and economics in Bulgaria and abroad.
After completion of Bachelor of Science (BSc) degree in Mathematics and Informatics, they
can successfully realize themselves as teachers in Mathematics, teachers in Informatics and
teachers in ICT.
At completion of Bachelor of Science degree in Mathematics and Informatics, students
obtain:
profound knowledge in the area of Mathematics and Informatics;
good knowledge of the latest technologies for multimedia education, the
development of modern educational technologies, trends and strategies for
education;
good preparation in the area of Mathematics and Informatics as well as solid
practical skills conforming to modern European standards and requirements;
good opportunities for realizing as teachers in Mathematics, Informatics and ICT;
opportunity for successful continuation of education in higher degrees (Master of
Science and PhD) in Bulgaria and abroad.
II. Requirements to preparation of students completing this major field of study Students completed BSc degree in Mathematics and Informatics have to possess following
knowledge, skills and competences:
to use the obtained knowledge in the practice;
to use and apply competently the latest multimedia technologies;
to use and apply competently fundamental knowledge in the area of Mathematics and
Informatics;
to posses and apply modern educational technologies.
Qualification characterization of Major field of study “Mathematics and Informatics”
for BSc degree is a basic document that determines rules for developing the
curriculum. This qualification characterization is conformed to legislation in the area
of higher education in Republic of Bulgaria.
CURRICULUM Field of Study: Mathematics and Informatics, 2008, Updated 2012
First Year
First Semester ECTS credits Second Semester ECTS
credits
Compulsory Courses
Linear algebra
Analytical geometry
Mathematical analysis I
Introduction to programming
Sport
7.5
7.5
7.5
7.5
0.0
Compulsory Courses
Foreign language 1
Mathematical analysis II
Algebra
Object-oriented programming
Graph theory
3.5
7.5
7.5
7.5
4.0
Total 30 Total 30
Second Year
First Semester ECTS credits Second Semester ECTS
credits
Compulsory Courses Differential equations and
applications
Number theory
Foreign language 2
School course of algebra and
analysis
Optional course 1
Sport
Optional Courses (course 1)
Computer architectures
Discrete mathematics
Information technology
7.0
5.0
4.0
9.0
5.0
0.0
5.0
5.0
5.0
Compulsory Courses
School course of geometry
Mathematical optimization
Operating systems
Pedagogy
Optional course 2
Optional Courses (course 2)
Computer models in natural sciences Algorithms for graphs and networks
Separable sets of variables of functions
VBA programming
8.0
7.0
5.5
5.5
4.0
4.0
4.0
4.0
4.0
Total 30 Total 30
Third Year
First Semester ECTS credits Second Semester ECTS
credits
Compulsory Courses Numerical analysis
Differential geometry
Psychology
Optional course 3
Optional course 4
Sport
Optional Courses (course 3)
Development of interactive
multimedia educational content
Operational research
Programing with Object Pascal
and Delphi
Optional Courses (course 4)
Mathematical structures
Descriptive geometry
Fundamentals of arithmetic
8.0
8.0
5.0
4.5
4.5
0.0
4.5
4.5
4.5
4.5
4.5
4.5
Compulsory Courses
Probability and statistics - methodology and
technology
Database
Didactics of mathematics – I
School courses of informatics and ICT
8.0
8.0
5.5
8.5
Total 30 Total 30
Fourth Year
First Semester ECTS credits Second Semester ECTS
credits
Compulsory Courses Didactics of informatics and ICT
Didactics of mathematics – II
Optional course 5
Optional course 6
Observation of lessons in
mathematics at school
Observation of lessons in
informatics and ICT at school
Sport
Optional Courses (course 5)
Geometry of the circles
Fundamentals of geometry
Methods of extra-curricular work
in mathematics
Fundamentals of computer
graphics
Optional Courses (course 6)
Expert systems
Object-oriented and distributed
databases
Applied statistic
Computer networks and
communications
Internet programming
7.0
7.0
5.0
5.0
2.0
4.0
0.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
Compulsory Course
Audiovisual and information technologies in
teaching
Pedagogical practice in mathematics
Pedagogical practice in informatics
Pre-graduation pedagogical practice in
mathematics
Pre-graduation pedagogical practice in
informatics
Optional course 7
Education and development of special needs
pupils
State examination or thesis
Optional Courses (course 7)
Problem solving practicum for school
course in mathematics
Comparative education /integrative aspects/
History of mathematics
2.5
2.5
2.5
3.0
2.5
3.0
4.0
10.0
3.0
3.0
3.0
Total 30 Total 30
TOTAL FOR 4 ACADEMIC YEARS: 240 CREDITS
COURSES DESCRIPTION
COMPULSORY COURSES
LINEAR ALGEBRA
Semester: 1 semester
Course Type: Lectures and tutorials
Hours per week: 3 lecture hours and 2 tutorial hours / Fall Semester
ECTS credits: 7,5 credits
Lecturer: Assoc. Prof. Dr. Ilinka Dimitrova
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The education of that discipline includes some of the basic notations in
combinatory and complex numbers. Students study matrices, determinants, systems linear
equations and methods for their solving, linear spaces, linear transformations, and quadratic
forms.
Course Aims: The students have to obtain knowledge and skills to apply the learned theory
for modeling and solving real practical tasks, to do basic operations with matrices, to solving
determinants and systems linear equations using the methods of Gauss and Kramer, to be
able to distinguish the correspondence between algebraic objects, to determine their
characteristics and to transfer them on others – difficult to examine.
Teaching Methods: lectures, tutorials, homework, and problem solving tests.
Requirements/Prerequisites: The students should have basics knowledge from school
mathematics.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Borisov, A., Il. Guidzhenov, Il. Dimitrova. Linear Algebra. University Press, South-West
University “Neofit Rilski”, Blagoevgrad, 2009 /in Bulgarian/.
2. Borisov, A., M. Kacarska. Handbook on Linear Algebra and Analytic geometry.
University Press, South-West University “Neofit Rilski”, Blagoevgrad, 2011 /in
Bulgarian/.
3. Yordzhev, K., Il. Dimitrova, A. Markovska, Il. Gyudzhenov. Variants for Exams on
Linear Algebra and Analytic Geometry, University Press, South-West University “Neofit
Rilski”, Blagoevgrad, 2007 /in Bulgarian/.
Additional Titles
1. Aslanski, M., B. Giurov. Handbook on Linear Algebra. University Press, South-West
University “Neofit Rilski”, Blagoevgrad, 1999 /in Bulgarian/.
2. Denecke, K., K. Todorov. Lectures on Linear Algebra. University Press, South-West
University “Neofit Rilski”, Blagoevgrad, 1992 /in Bulgarian and German/.
3. Dimitrov, D. Collections of Problems on Linear Algebra. Sofia, 1978 /in Bulgarian/.
4. Dochev, K., D. Dimitrov. Linear Algebra. Sofia, 1977 /in Bulgarian/.
5. Fadeev, D.K., I.S. Sominski. Handbook on Algebra. Moscow, “Nauka”, 1968 /in
Russian/.
6. Ilin, V.A., E.G. Pozniak. Linear Algebra. Moscow, “Nauka”, 1984 /in Russian/.
7. Kurosh, A. Course on Algebra. Sofia, “Nauka i izkustvo”, 1967 /in Bulgarian and
Russian/
8. Proskuriakov, I.V. Handbook on Linear Algebra. Moscow, “Nauka”, 1967 /in Russian/.
ANALYTIC GEOMETRY
Semester: 1 semester
Course Type: Lectures and tutorials
Hours per week: 3 lecture hours and 2 tutorial hours /Fall Semester
ECTS credits: 7,5 credits
Lecturer: Prof. Dr. Iliya Guydzhenov, e-mail: [email protected]
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The education of that discipline includes learning of vector calculus,
affine coordinate systems and analytic representations of straight lines and planes. After
introducing the cross ratio, the projective coordinate systems are used as well. The basic
elements of the projective, of the affine and of the metric theory of the curves and the
surfaces of the second degree are taught.
Course Aims: The students have to obtain knowledge and skills for application of the
analytic apparatus for research of geometric objects.
Teaching Methods: lectures, tutorials, homework, problem solving tests.
Requirements/Prerequisites: Linear Algebra and Mathematical Analysis
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. A. Borisov. “Lectures on Analytic geometry”. University Press, South-West University
“Neofit Rilski”, Blagoevgrad, 2000 /in Bulgarian/.
2. A. Borisov. “Handbook on Analytic geometry”. University Press, South-West University
“Neofit Rilski”, Blagoevgrad, 2011 /in Bulgarian/.
3. G. Stanilov. “Analytic geometry”. Sofia, 2000 г./in Bulgarian/.
Additional Titles
1. A. Borisov. “Analytic geometry”. University Press, South-West University “Neofit
Rilski”, Blagoevgrad, 1993 /in Bulgarian/.
2. A. Gjonov, N. Stoev. “Handbook on Analytic geometry”. Sofia, 1988 /in Bulgarian/.
3. N. Martinov . “Analytic geometry”. Sofia, 1989 /in Bulgarian/.
4. B. Petkanchin. “Analytic geometry”. Sofia, 1961 /in Bulgarian/.
MATHEMATICAL ANALYSIS I
Semester: 1 semester
Course Type: lectures and seminars
Hours per Week: 3 lecture hours and 2 seminars hour / Fall Semester
ECTS Credits: 7,5 credits
Lecturers: Assoc. Prof. Visil Grozdanov, Ph.D.
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in Mathematics and Informatics B.C. Curriculum.
Short Description: The main topics to be considered:
- Numerical sequences
- Numerical series
- Limit, continuity and differentiability of functions
- Integrals of functions of real variables
- Applications of the integral calculation
Course Aims: This course develops in details the problems of numerical sequences,
numerical series, differential and integral calculation of functions of one real variable.
Teaching Methods: Lectures, tutorials, homework, problem-solving tests. During the
lectures students are acquainted with the basic theoretical material- definitions, theorems,
applications, with the methods of theorems proofs. During seminars students solve practical
problems. The knowledge obtained within the theoretical practice is used and it is also used
in the process of problem solving.
Requirements/Prerequisites: Basic knowledge of courses in Elementary Mathematics,
Linear Algebra, Analytical Geometry is necessary.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles:
1.V. A. Ilin, V. A. Sadovnichi, B. H. Sendov, Mathematical Analysis, V. 1 and 2, Sofia,
Science and Art, 1989.
2. Ia. Tagamlitzky, Differential Calculation, Sofia, Science and Art, 1971.
3. Ia. Tagamlitzky, Integral Calculation, Sofia, Science and Art, 1971.
4. I. Prodanov, N. Hadjivanov, I. Chobanov, Collection of problems of Differential and
Integral Calculation, Sofia, Science and Art, 1976.
5. V. Grozdanov, K. Iordjev, A. Markovska, Guidance for solving of problems of
mathematical analysis- first part, “Neophit Rilsky” publishing house, Blagoevgrad, 2012.
Additional Titles:
1. S. M. Nikol'skii, Course of Mathematical Analysis, V. 1 and 2, Moskow, Science, 1973.
2. L. D. Kudrjavcev, Mathematical Analysis, V. 1 and 2, Moskow, Science, 1976.
3. L. D. Kudrjavcevв, А. D. Кutassov, V. I. Chehlov, М. I. Shabunin, Collection of
problems of mathematical analysis, Science, Moskow, 1984.
INTRODUCTION TO PROGRAMMING
Semester: 1 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 4 hours lecture and 2 hours tutorials in computer lab/ Fall Semester
ECTS Credits: 7,5 credits
Lecturers: Assoc. Prof. PhD. Daniela Tuparova
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in Mathematics and Informatics B.C. Curriculum.
Course description: Introduction to programming is the first course in scope of
programming for the students of major “Informatics”. The course includes topics of syntax
and semantics of programming languages construct and statements. The course is based on
the C++.
Objectives: The main goal of the course is the students to master principles of programming
and algorithms.
Methods of teaching: lectures, tutorials, discussions, problem passed method, Project based
method.
Pre- requirements: No need.
Assessment and Evaluation Practical work and test- 50%
Final Еxam 50%
The course is successful completed with at least 65% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References:
1. Азълов П., Ф. Златарова, С++ в примери, задачи и приложения, Просвета, 2011
2. Крушков Х., Програмиране на С++, 1 част - въведение в програмирането
3. Тодорова М., Програмиране на С++, 1 част, СИЕЛА, 2010
4. Тодорова М., и колектив, Сборник от задачи по програмиране на С++, Първа част,
Увод в програмирането, Технологика ООД, 2008
5. Интерактивни учебни материали, достъпни в он-лайн курса на адрес
www.e-learning.swu.bg
FOREIGN LANGUAGE 1
Semester: Second semester
Course type: Seminars
Hours per week: 2 hours per week / Summer Semester
ECTS credits: 3,5
Lecturer: Assist. prof. B. Filatov
Department: Faculty of Pedagogy
Course Status: Compulsory course in Mathematics and Informatics B.C. Curriculum.
Course description: Introducing students to the basic components of English phonology,
morphology and syntax. It helps students learn and practice communicating in everyday
situations including asking and answering questions, using the telephone, taking messages,
initiating conversations, asking for directions, making invitations and closing conversations.
Class activities include role-playing, small-group activities and short presentations. It also
develops skills in reading speed and comprehension. Students are introduced to reading
strategies such as skimming, scanning, guessing meaning from context, previewing,
predicting, making inferences and giving opinions. Reading materials include short stories,
news articles, computer passages and a simplified novel.
Goal: The goals of the course is to enable students to speak and write effectively and
confidently in their professional and personal lives. Students become acquainted with the
basic terminology in the specific field.
Teaching methods: Seminars
Prerequisites: The knowledge acquired at high school is useful.
Examination and assessment procedures: The estimation of the acquired knowledge is
based on a written exam
Registration for examination: coordinated with the lecturer and the academic affairs
department
References: 1. Soars, John & Liz, New Headway Elementary - fourth edition, Oxford University Press,
2011
2. Soars, John & Liz, New Headway Pre-Intermediate - fourth edition, Oxford University
Press, 2012
3. Raymond Murphy, English Grammar in Use, fourth edition with answers, Cambridge
University Press, 2012
4. Дончева, Лилия , Английски глаголни времена, Skyprint, 2009
5. Ранкова, М., Иванова, Ц., Английска граматика, Наука и изкуство, София, 2010
6. Carter, R., McCarty, M., Mark, G., O’Keeffe, A., English Grammar Today: An A-Z of
Spoken and Written Grammar, Cambridge University Press, 2011
MATHEMATICAL ANALYSIS II
Semester: second semester
Course Type: lectures and seminars
Hours per Week: 3 lecture hours and 2 seminars hour / Summer Semester
ECTS Credits: 7,5 credits
Lecturers: Assoc. Prof. Visil Grozdanov, Ph.D.
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in Mathematics and Informatics B.C. Curriculum.
Course Description: The course in Mathematical Analysis II includes basic concepts of
mathematical analysis: improper integral, functions of two and more variables; continuity of
functions of several variables; partial derivatives, local and relative extrema; implicit
functions; double and triple Riemanm integral, and their applications for finding arias and
volumes; line integrals of first and second type; surface integrals of first and second type;
basic formulas for integrals of Mathematical Physics.
Course Aims: Students should obtain knowledge for Mathematical Analysis II, which is a
basic mathematical discipline. This knowledge is necessary for studying, Mathematical
Analysis III, Ordinary Differential Equations, Numerical Methods, Optimization.
Teaching Methods: lectures and seminars
Requirements/Prerequisites: Mathematical Analysis I
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References: 1. Yaroslav Tagamlitski – Differential Calculus, Nauka and Izkustvo Publishing House,
Sofia, 1971 (in Bulgarian).
2. Yaroslav Tagamlitski – Integral Calculus, Nauka and Izkustvo Publishing House, Sofia,
1978 (in Bulgarian).
3. V. A. Ilin, V.A. Sadovnichi, B.H. Sendov – Mathematical Analysis, Vol. 1, Vol.2, Nauka
and Izkustvo Publishing House, Sofia, 1989 (in Bulgarian).
4. I. Prodanov, N. Hadjiivanov – Problem book in Differential and Integral Calculus, Nauka
and Izkustvo Publishing House, Sofia, 1976 (in Bulgarian).
5. Е. Varbanova, Lectures on Mathematical Analysis – I, Publishing house of Technical
university Sofia, Sofia, 2009.
6. V. Grozdanov, К. Jordjev, A. Markovska, Methodological conduire for solving of
problems of Mathematical Analysis – part I, Publishing house “Neophit Rilsky”
Blagoevgrad, 2012.
7. V. Grozdanov, К. Jordjev, Ts. Mitova, Methodological conduire for solving of problems
of Mathematical Analysis – part II, Publishing house “Neophit Rilsky” Blagoevgrad, 2013.
8. V. Grozdanov, К. Jordjev, Ts. Mitova, Methodological conduire for solving of problems
of Mathematical Analysis – part III, Publishing house “Neophit Rilsky” Blagoevgrad, 2013.
ALGEBRA
Semester: 2-nd semester
Course Type: Lectures and tutorials
Hours per week: 3 lecture hours and 2 tutorial hours /Summer Semester
ECTS credits: 7,5 credits
Lecturer: Assoc. Prof. Dr. Ilinka Dimitrova
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The education of that discipline includes some of the main notations of
the semigroup and group theory, ring and field theory, algebraic polynomials. The
definitions are introduced in an abstract way and explained with many examples. The Cayley
theorem, the Lagrange theorem and the main theorem for the cyclic groups are proved. The
main tools for investigations of the symmetric group are described and the importance of the
symmetric group is underlined in applications. Characteristic of field and simple fields are
introduced. There is detailed analysis of certain important rings. In the last part the classical
polynomial questions like quotient/remainder theorem, Euklid’s algorithm, Horner’s scheme,
roots of polynomials, symmetric polynomials are considered.
Course Aims: The students have to obtain knowledge and skills for the theoretical
foundations of the semigroup and group theory, ring and field theory, and polynomials as
well as the applications of this apparatus for solving some practical tasks, related to other
mathematical and informatical subjects. The obtained knowledge on this fundamental
discipline are directed to be used by students in their education on other subjects.
Teaching Methods: lectures, tutorials, homework, and problem solving tests.
Requirements/Prerequisites: The students should have basics knowledge from Number
theory and Linear algebra.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Bojilov, А., P. Siderov, K. Chakaryan. Problems in Algebra, Vedi Press, Sofia, 2006 /in
Bulgarian/.
2. Denecke, K., K. Todorov. Foundations of Algebra. University Press, South-West
University “Neofit Rilski”, Blagoevgrad, 2001 /in Bulgarian/.
3. Genov, G., S. Mihovski, T. Mollov, Algebra, University Press, “Paisii Hilendarski”,
Plovdiv, 2006 /in Bulgarian/.
4. Mihailov, I., N. Zyapkov. Algebra and Galois Theory, Faber Press, Veliko Tarnovo,
2004 /in Bulgarian/.
5. Siderov, P., K. Chakaryan. Notes on Algebra, Vedi Press, Sofia, 2006 /in Bulgarian/.
Additional Titles
1. Dochev, K., D. Dimitrov, V. Chukanov. Handbook on Algebra. Sofia, 1976 /in
Bulgarian/.
2. Dodunekov, S., K. Chakaryan. Problems in Number Theory. Regalia Press, 1999 /in
Bulgarian/.
3. Fadeev, D.K., I.S. Sominski. “Handbook on Algebra”. Moscow, “Nauka”, 1968 /in
Russian/.
4. Kurosh, А. Course on Algebra. Sofia, “Nauka I izkustvo”, 1967 /in Bulgarian/.
5. Okunev, L. Ya. Algebra, Moscow, 1949 /in Russian/.
6. Proskuriakov, I.V., “Handbook on Linear Algebra”. Moscow, “Nauka”, 1967 /in
Russian/.
7. Skornyakov, L.A., Elements of Algebra. Moscow, 1986 /in Russian/.
OBJECT-ORIENTED PROGRAMMING
Semester: 2 semester
Type of Course: lectures and labs
Hours per week: 2 lectures + 2 labs / Summer Semester
ECTS credits: 7,5 credits
Lecturers: Assoc. Prof. Ph.D. Krasimir Yankov Yordzhev
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: In the course students are introduced with methods and means of
Object-oriented programming. The course is providing basic knowledge in development of
algorithms, their programming using particular programming language and running and
testing of the programs under certain operation system. The structure and the main
operational principles of the computer systems are given. The means and accuracy of
information presentation are also considered. Some of the key classes of algorithms and data
structures are studied. The main techniques of the structural approach of programming and
their application using C++ programming language are introduced. The aim of the course is
to teach the students with the techniques in development of algorithms and programs using
C++ programming language. The knowledge will be used in the general theoretical,
technical and some special courses.
Objectives:
Basic objectives and tasks:
The students give knowledge for algorithum thinking;
to give knowledge for methods and skils in Object-oriented programming in
integrated development environment for visual programming;
to give knowledge for Data structures, that can process with computer;
to give knowledge for methods and skills in programming.
to give knowledge for good style in programming;
to give knowledge for basic principles when develop applications
Methods of teaching: lectures, tutorials, group seminars or workshop, projects, other
methods
Pre- requirements: The course is continued of the course “Introduction in programming”.
Basic knowledge in Mathematics.
Exam: Written examination and discussion at the end of the semester, individual tasks and
the general student’s work during the semester.
Registration for the Exam: Coordinated with the lecturer and the Student Service Office
References: 1. Магдалина Тодорова Програмиране на C++. Част І, Сиела, 2002.
2. Herbert Schildt Teach Yourself C++, McGraw-Hill, 1998.
3. Cay S. Horstmann Computing Consepts with C++ Essentials, John Wiley & Sons, 1999.
4. Steve Donovan C++ by Example. Que/Sams,2002.
5. Tan Kiat Shi, Wili-Hans Steeb, Yorick Hardi Symbolic C++: An Introduction to
Computer Algebra using Object-Oriented Programming. Springer, 2000.
6. Димитър Богданов Обектно ориентирано програмиране със C++. София,
Техника, 2002.
7. Христо Крушков Програмиране на C++. Пловдив, Макрос, 2006.
8. Брайън Овърленд C++ на разбираем език. АлексСофт, 2003.
9. Преслав Наков, Панайот Добриков Програмиране = ++ алгоритми. София, 2005.
10. Г. С. Иванова, Т. Н. Ничушкина, Е. К. Пугачев Объектно-ориентированное
программирование. Москва, МГТУ, 3003.
11. Кент Рейсдрф, Кен Хендерсон Borland C++ Builder. Освой самостоятелно
GRAPH THEORY
Semester: 2 semester
Type of Course: lectures and seminars
Hours per week: 2 lecture hours + 1 seminar hour / Summer Semester
ECTS credits: 4,0 credits
Lecturers: Prof. Ivan Mirchev, DSc
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The 1970s ushered in an exciting era of research and applications of
networks and graphs in operations research, industrial engineering, and related disciplines.
Graphs are met with everywhere under different names: "structures", "road maps" in civil
engineering; "networks" in electrical engineering; "sociograms", "communication structures"
and "organizational structures" in sociology and economics; "molecular structure" in
chemistry; gas or electricity "distribution networks" and so on.
Because of its wide applicability, the study of graph theory has been expanding at a very
rapid rate during recent years; a major factor in this growth being the development of large
and fast computing machines. The direct and detailed representation of practical systems,
such as distribution or telecommunication networks, leads to graphs of large size whose
successful analysis depends as much on the existence of "good" algorithms as on the
availability of fast computers. In view of this, the present course concentrates on the
development and exposition of algorithms for the analysis of graphs, although frequent
mention of application areas is made in order to keep the text as closely related to practical
problem-solving as possible. Although, in general, algorithmic efficiency is considered of
prime importance, the present course is not meant to be a course of efficient algorithms.
Often a method is discussed because of its close relation to (or derivation from) previously
introduced concepts. The overriding consideration is to leave the student with as coherent a
body of knowledge with regard to graph analysis algorithms, as possible.
In this course are considered some elements of the following main topics:
Introduction in graph theory (essential concepts and definitions, modeling with
graphs and networks, data structures for networks and graphs, computational
complexity, heuristics).
Matching and assignment algorithms (introduction and examples, maximum-
cardinality matching in a bipartite graph).
The chinesse postman and related arc routing problems (Euler tours and Hamiltonian
tours, the postman problem for undirected graphs, the postman problem for directed
graphs).
The traveling salesman and related vertex routing problems (Hamiltonian tours, basic
properties of the traveling salesman problem, lower bounds, optimal solution
techniques, heuristic algorithms for the TSP).
Course Aims: Students should obtain basic knowledge in Graph theory and skills for solving
optimization problems for graphs and networks.
Teaching Methods: lectures, tutorials, individual student’s work
Requirements/Prerequisites: Graphs, Discretion Programming
Assessment: 3 homework D1,D2,D3; 2 tests K1, K2 (project); written final exam
Rating: = 0,2.(D1+D2+D3)/3 + 0,5.(K1+K2)/2 + 0,3.(Exam)
Registration for the Exam: coordinated with the lecturer and Students Service Department
References:
Basic:
1. Ив.Мирчев, "Графи. Оптимизационни алгоритми в мрежи", Благоевград, 2001 г.
2. Ив.Мирчев, "Математическо онтимиране", Благоевград, 2000 г.
3. Minieka, Е., Optimization Algorithms for Networks and Graphs, Marcel Dekker, Inc.,
New York and Basel, 1978 (Майника, 3. Алгоритми оптимизации на сетях и графах, М.,
"Мир", 1981).
Additional:
1. Keijo Ruohonen. GRAPH THEORY. math.tut.fi/~ruohonen/GT_English.pdf, 2008
2. Ronald Gould. Graph Theory (Dover Books on Mathematics. 2012. US Cafifornia.
3. Lih-Hsing Hsu , Cheng-Kuan Lin, Graph Theory and Interconnection Networks.
1420044818, 2008,
4. Team DDU.Christofides, N., Graph Theory. An Algorithmic approach, Academic Press
lnc (London) Ltd. 1975, 1977 (Крисгофидес, И. Теория графов. Алгоритмический
подход, М., "Мир", 1978 ).
5. Swamy, М., К. Thulasirman, Graphs, Networks and Algorithms, John Wiley & Sons,
1981 (Сваами M., K. Тхуласирман. Графм, сети и алгоритми, М., "Мир", 1984).
DIFFERENTIAL EQUATIONS AND APPLICATIONS
Semester: 3 semester
Course Type: lectures and seminars
Hours per week: 2 lecture hours and 2 tutorial hours /Fall Semester
ECTS credits: 7,0 credits
Lecturer: Assoc. Prof. Nikolaj Kitanov,
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course from Mathematics and Informatics B.C. Curriculum.
Course Description: Mathematical methods of investigation are used in every field of
science and technology. Differential Equations are the foundations of the mathematical
education of scientists and engineers. The main topics are: First-order Linear equations with
constant coefficients: exponential growth, comparison with discrete equations, series
solutions; modeling examples including radioactive decay and time delay equation. Linear
equations with non-constant coefficients: solution by integrating factor, series solution.
Nonlinear equation: separable equations, families of solutions, isoclines, the idea of a flow
and connection vector fields, stability, phase-plane analysis; examples, including logistic
equation and chemical kinetics. Higher-order Linear equations: complementary function and
particular integral, linear independence, reduction of order, resonance, coupled first order
systems. Examples and PC-models of nonlinear dynamics, order and chaos, attractors. etc.
Course Aims: The main goal is the students to master the instruments and methods of
modeling in science.
Teaching Methods: lectures, tutorials, homework, tests, etc.
Requirements/Prerequisites: Calculus I and II, Linear Algebra and Analytical Geometry.
Exam: tests, homework, final exam
Registration for the exam: Coordinated with lecturer and Students Service Department
References:
1. Differential Equations, 2008, http://www.sosmath.com/diffeq/diffeq.html (наш превод -
в ЮЗУ -2011 г)
2. Попиванов П., П.Китанов, Обикновени диференциални уравнения. ЮЗУ
Благоевград, 2000.
3. Борисов А., Ил.Гюдженов. Математика, част 3. Елементи на интегралното смятане.
Елементи на обикновените диференциални уравнения.Б-д .2003г
4. Босс. В. Лекции по математике. Дифференциальные уравнения. М. 2004г.
5. Живков А, Е. Хорозов, О. Христов http://debian.fmi.uni-
sofia.bg/~horozov/DifferentialEquations/book.pdf (Х.2007- 2008)
6. http://www.exponenta.ru/educat/class/courses/ode/theme1/theory.asp 2013.
7. Ordinary Differential Equation http://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf
8. Байнов Д., К.Чимев, Ръководство за решаване на задачи по обикновени
диференциални уравнения. ЮЗУ, Благоевград, 1992г. (учебник и ръководство на
Д.Байнов от ПУ се намира в ЮЗУ библиотеката в голям брой екземпляри).
9. Пушкаров. Д. Математически методи на физиката.Ч. I., ЮЗУ, Бл.1993г.
10. Эльсгольц. Л.Дифференциальные уравнения и вариационное вычисление. М. 2000.
11. Дорозов, А. Т.Драгунов. Визуализация и анализ инвериантных множеств
динамических систем. Москва, 2003г.
12. Ризниченко. Г.Математические модели в биофизике и экологии..М, 2003г.
13. Stewart J. Calculus. III ed. (AUBG). 1996.
14. Сп.Манолов, А.Денева и др. Висша математика, част 3. Техника, 1977г.
15. Методическо ръководство за решаване на задачи по математика, ч. 4, Техника,
София, 1975г.- файловете от ръководството са достъпни за студентите в зала 1-115)
NUMBER THEORY
Semester: 3 semester
Type of the course: Lectures and tutorial
Hours per week: 2 lecture hours and 1 tutorial hour / Fall Semester
ECTS credits: 5,0 credits
Lecturer: Prof. Dr.Sc. Oleg Mushkarov
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: Main topics:
- Divisibility
- Primes and the Fundamental theorem of Arithmetic
- Congruences
- Fermat’s, Euler’s and Wilson’s theorems
- Quadratic residues
- Diophantine equations
- Arithmetic functions
Course Aims: To develop in details the basic notions and methods of elementary Number
theory and their applications for solving problems of divisibility, linear and quadratic
congruences and Diophantine equations.
Teaching Methods: Lectures, tutorials, homework, problem-solving tests. During the
lectures students are acquainted with the basic theoretical material- definitions, theorems and
applications. During seminars students solve practical problems. The knowledge obtained
within the theoretical practice is used in the process of problem solving.
Requirements/Prerequisites: Basic knowledge of the courses in Elementary Mathematics,
Linear and Abstract Algebra.
Assessment: Written exam on problem solving and on the theoretical material from the
lectures.
Registration for the exam: Students and the lecturer agree on the convenient dates within
the announced calendar schedule of examination session.
References:
Basic Titles
1. S. Dodunekov, K. Tchakarjan, Number theory problems, Regalia, 1999.
2. Lecture notes (www.moi.math.bas.bg/~peter).
3. T. Andreescu, D. Andrica, Number Theory, Birkhauser, 2009.
Additional Titles
1. J. Silverman, A Friendly Introduction to Number Theory, Prentice-Hall, Inc., 1997
2. P. Boivalenkov, E. Kolev, O. Mushkarov, N. Nikolov, Bulgarian Mathematical
Competirions 2006 – 2008, UNIMATH, Sofia, 2008.
3. P. Boivalenkov, E. Kolev, O. Mushkarov, N. Nikolov, Bulgarian Mathematical
Competirions 2009 – 2011, UNIMATH, Sofia, 2012.
FOREIGN LANGUAGE 2
Semester: 3 semester
Course type: Seminars
Hours per week: 2 hours per week / Fall Semester
ECTS credits: 4.0
Lecturer: Assist. prof. B.Filatov
Department: Faculty of Pedagogy
Course Status: Compulsory course in Mathematics and Informatics B.C. Curriculum.
Course description: Introducing students to the basic components of English phonology,
morphology and syntax. It helps students learn and practice communicating in everyday
situations including asking and answering questions, using the telephone, taking messages,
initiating conversations, asking for directions, making invitations and closing conversations.
Class activities include role-playing, small-group activities and short presentations. It also
develops skills in reading speed and comprehension. Students are introduced to reading
strategies such as skimming, scanning, guessing meaning from context, previewing,
predicting, making inferences and giving opinions. Reading materials include short stories,
news articles, computer passages and a simplified novel.
Goal: The goals of the course is to enable students to speak and write effectively and
confidently in their professional and personal lives. Students become acquainted with the
basic terminology in the specific field.
Teaching methods: Seminars
Prerequisites: The knowledge acquired at high school is useful.
Examination and assessment procedures: The estimation of the acquired knowledge is
based on a written exam
Registration for examination: coordinated with the lecturer and the academic affairs
department
References: 1. Soars, John & Liz, New Headway Elementary - fourth edition, Oxford University Press,
2011
2. Soars, John & Liz, New Headway Pre-Intermediate - fourth edition, Oxford University
Press, 2012
3. Raymond Murphy, English Grammar in Use, fourth edition with answers, Cambridge
University Press, 2012
4. Дончева, Лилия , Английски глаголни времена, Skyprint, 2009
5. Ранкова, М., Иванова, Ц., Английска граматика, Наука и изкуство, София, 2010
6. Carter, R., McCarty, M., Mark, G., O’Keeffe, A., English Grammar Today: An A-Z of
Spoken and Written Grammar, Cambridge University Press, 2011
SCHOOL COURSE OF ALGEBRA AND ANALYSIS
Semester: 3 semesters
Course Type: lectures and tutorials
Hours per Week: 3 lecture hours, 3 tutorials hours / Fall Semester
ECTS Credits: 9.0 credits
Lecturers: Assoc. professor Kostadin Samardzhiev, PhD
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the Mathematics and Informatics B.S. Curriculum.
Course Description: The construction and development of the notion “number” is a difficult
process not only for its mathematical and philosophical character, but for its educative
character, too. The course “Scholar course of education in Algebra and analysis” for the
students from second course in specialty “mathematics and Informatics” follow the
development of the4 notion “number”, which is known from the course “Bases of the
Arithmetic”. This course formulates the basic principles of Algebra – commutative,
associative and distributive; idempotents (neutral elements); the operations addition and
multiplication of natural numbers H. on the base of the operations addition and
multiplication, the course defines the respective orders. It lists the basic properties of the
linear order – each set of natural numbers is limited from below, Archimedean principle, the
method of the mathematical order and etc. the course considers the question about the
division of the natural numbers and the notion “prime number”. All of this illustrated by
concrete examples. The number in different cardinal (countable) systems.
In this course we show that each two natural numbers a, b אthe equations a+x=b and a
x=b do not have solutions in the semiring of the natural numbers א. This lead to the necessity
of enlargement of the semiring א to the ring of the integer numbers Z, to the semifield of the
fraction Qt, and finally to the field rational numbers Q. The course makes clear the validation
of the basic properties of the introduced orders in the semiring of the natural numbers, for
each of mentioned above structures. All of this is illustrated by appropriate example and
problems. The most of the school hours is spared for the field of the real numbers and
respective problems, such as quadratic equations and inequality, systems of equations and
inequality, some of them with irrational expressions, some equivalent expressions with the
collaboration of a special function like exponential, logarithmic, trigonometric and etc. out
auditorium work for this course include homework, course tasks, work in library and
computer room, consultation, preparation for test-paper, assimilation of the lection materials
and etc. the proportion between auditorium and out auditorium work is 90:135.
Course Aims: The introduced course of lections and tutorials shows the status of the
mentioned above material, which is taught in a school course in Mathematics. It is developed
on the base of well-known algebraic structures. Students should learn this basic structures
and problems which can be solved in them. With the help of the obtained knowledge and
skills students should receive a complete canonical form of an algebraic equation or system
of algebraic equations, using possible equivalent transformations.
Teaching Methods: lectures and tutorials.
Requirements / Prerequisites: Higher Algebra, Bases of the Arithmetic.
Assessment: written final exam
Registration for the Exam: coordinated with lecturer and Student Service Department
References:
Basic Titles
1. Денеке, Кл., Тодоров, К., Основи на аритметиката, Благоевград, 1999
2. С. Е. Ляпин, М. И. Баранова, Сборник задачи по элементарной математике,
Учпендгиз, 1963г.
3. Л. Чакалов и др. Сборник задачи по алгебра.
4. Ил.Гюдженов, К.Самарджиев Методическо ръководство за решаванене на задачи по
математика.,1994г.Благоевград
5. Ярослав Тагамлицки, Диференциално смятане, наука и изкуство София 1978г.
6. Божоров Е. Висша математика Държавно издателство Техника-София 1975г.
7.Чимев К.,А.Петрова-Денева Математика Благоевград 1985г.
8.Чимев К.,Тасев М.и др. Методическо ръководство за решаване на задачи по
математика Издателство Благоевград 1988г.
9.Ларичев П.А. Сборник задач по Алгебре част първа Учпедгиз 1961г. Москвы
Additional Titles
1.Чимев К.,Мирчев И.,Щраков Сл. Математика Благоевград 1995г.
2.Киркоров И.,Недев А. Сборник задачи по висша математика част втора Издателство
Наука и изкуство София-1975г.
3.Миланов С.,Стоянов Н.,Денева А. и др. Висша математика 1,2,3,4,5 част Държавно
Издателство Техника София-1977г.
SCHOOL COURSE OF GEOMETRY
Semester: IV semester
Course Type: Lectures and tutorials
Hours per week: 3 lecture hours and 3 tutorial hours /Summer Semester
ECTS credits: 8,0 credits
Lecturer: Assoc.prof. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics
Short Description: The course includes studying of the basic geometrical transformations:
congruence, similarity, affinity. Some principal topics, connected with the area of polygon
and volume of tetrahedron, are considered.
Course Aims: Students should obtain theoretical and practical knowledge, necessary for
teaching High School Geometry.
Teaching Methods: lectures, tutorials, homeworks, problem solving tests.
Requirements/Prerequisites: High School Geometry
Assessment: written exam on topics from tutorials and on topics from lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Borisov, A., A. Langov. School course of Geometry. Blagoevgrad, 2007.
2. A. Borisov, A. Langov. “Handbook on School course of Geometry”. University Press,
South-West University “Neofit Rilski”, Blagoevgrad, 2011 /in Bulgarian/.
3. Lozanov, Ch.; G.Eneva, A.Langov. Synthetic Geometry.Sofia, 1994.
Additional Titles
1. Adamar. J. Elementary Geometry,1,2. Moskow, 1979.
2. Bankov,K.; T.Vitanov. Geometry. Sofia, 2003.
3. Perepolkin.D. I. Course of Elementary Geometry,1,2. Sofia, 1965.
4. Hilbert. D. Foundations of Geometry.Sofia, 1978.
MATHEMATICAL OPTIMIZATION
Semester: IV semester
Course Type: Lectures and tutorials
Hours per week: 3 lecture hours and 2 tutorial hours /Summer Semester
ECTS credits: 7,0 credits
Lecturer: Assoc. Prof. Stefan Stefanov, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics
Short Description: The course in Optimization (Mathematical Programming) includes basic
results and methods for solving various types optimization problems and related topics:
nonlinear optimization problems, linear optimization problems (simplex method, duality in
linear optimization, transportation problem, assignment problem), matrix games (John von
Neumann minimax theorem, graphical method for solving 2 х 2, 2 х n, and m х 2 games,
relation between matrix games and linear optimization), convex analysis (convex sets, sum
of sets and product of a set with a real number, projection of a point onto a set, separation of
convex sets, extreme points, cones, polar cones, representation of convex cones,
representation of convex sets, polyhedrons, convex functions, directional derivatives,
subgradients and subdifferentials), convex optimization problems (Kuhn-Tucker theorem),
quadratic optimization problems.
Course Aims: Students should obtain basic knowledge and skills for solving optimization
problems under consideration.
Teaching Methods: lectures and tutorials
Requirements/Prerequisites: Mathematical Analysis, Linear Algebra, Analytic Geometry.
Assessment: written final exam
Registration for the Exam: coordinated with the lecturer and Students Service Department
References: Basic Titles:
1. P. Kenderov, G. Hristov, A. Dontchev – “Mathematical Programming”, Kliment Ohridski
Sofia University Press, Sofia, 1989 (in Bulgarian).
2. “Mathematical Programming Problem Book”, Kliment Ohridski Sofia University Press,
Sofia, 1989 (in Bulgarian).
3. Stefan M. Stefanov – “Quantitative Methods of Management”, Heron Press, 2003 (in
Bulgarian).
Additional Titles:
4. Stefan M. Stefanov – “Separable Programming. Theory and Methods”, Kluwer Academic
Publishers, Dordrecht – Boston – London, 2001.
5. Hamdy A. Taha – „Operations Research. An Introduction”, 9-th ed., Prentice Hall, USA,
2010.
OPERATION SYSTEMS
Semester: 4 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hours lecture and 2 hours tutorials in computer lab/ Summer Semester
ECTS credits: 5,5 credits
Lecturers: Prof. Nina Sinyagina
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is introduction in area of operation systems. Basic
knowledge and skills in Linux and Microsoft Windows are covered.
Objectives:
The student should obtain knowledge of:
Basic principles of operation systems.
Basic administration skills in area of operation systems.
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre- requirements: Database systems (core course)
Assessment and Evaluation Pre-exam test – 30%
Final Test- 70%
The course is successful completed with at least 51% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References 1. Лилян Николов, Операционни системи, ИК "Сиела", София, 1998.
2. William Stallings, Operating Systems: Internals and Design Principles, Prentice Hall,
Third Edition 1998; Fifth Edition 2005.
PEDAGOGY
Semester: 4 semester
Type of Course: lectures and seminars
Hours per week: 2 hours lecture and 2 hours seminars/ Summer Semester
ECTS credits: 5,5 credits
Lecturers: Assoc. prof. D.Sc. Lidiya Tsvetanova - Churukova
Department: Department of Pedagogy, Faculty of Pedagogy, South-West University
“Neofit Rilski” – Blagoevgrad, tel. 0888492612, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The purpose of the preparation of this course is for students to master
the scientific bases of institutional organized training. It is important to develop their
theoretical thinking, their ability to penetrate into the essence of didactic phenomena and
processes, to analyze the legitimate links between tradition and innovation in education,
navigate the changing pedagogical reality. Their attention will be offered to current
theoretical issues and concepts arising from practice, the system of organized and targeted
training in Bulgaria and the world. By modern interpretation of the problems students will be
able to master thoroughly the nature, regularities, technology and training.
Scientific status of pedagogy. Personal development - biological and social factors. Role and
importance of education and self-education. Family as an educational factor. Educational
process. Methods, forms and principles of education. Didactics in the system of scientific
knowledge. Learning as a comprehensive educational system. Didactic research and
innovations. Learning process. Problem - evolving learning and the formation of higher
intellectual skills. Content of the training. Theory of textbooks and academic literature.
Principles of training. Methods, approaches and techniques . Assessment and evaluation in
education. Organizational systems and training forms. Today's lesson - structuring and
typing. Individualisation and differentiation of training. Failure of students in learning and
their overcoming.
Methods of teaching: The training uses, as traditionally established and interactive methods
(multimedia presentations, case studies, etc.). Examination grade is based on the successful
completion of the written examination and protection of training portfolio. Practical
exercises thematically follow lectures. Continuous assessment during the semester grade is
based on the fulfilled independent work by students and the verification tests in modules or
tests. The share of current assessment is 60% in the final grade of the student.
Assessment and Evaluation: written exam
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References:
1. Kuzovlev V.P, Gerasimova E. H. , Ovchinnikova A.Z. , Tsvetanova - Churukova
L.Z. , Popkochev T.A. Pedagogy . - Blagoevgrad : Publishing SWU " N.Rilski " Publishing
EGU " I.A.Bunin " , 2010, 2011.
2. Experience in usage of integrated forms of training in primary grades in the Bulgarian
schools (Text) / LZ Cvetanova - Churukova / / Educational psychology in the multicultural
space - Elets, 2010 № 3 . - V.1 -2.
3. Tsvetanova - Churukova L.Z. Integrated education in primary grades. Monograph. -
Blagoevgrad: SWU "N.Rilski", 2010 + CD; Toihurst, W. & Group Using The Internet,
Yndianopols, 1996 .
4. Education trends in perspective: Analysis of the world education indicators. - 2005 ed. -
Paris: UNESCO, 2005. - 229 p.
5. The encyclopedia of comparative education and national systems of education /
Ed. By T. Neville Post lethwaite. - Oxford: Pergamon Press, 1988. - XXVIII, 778 p.
6. Global education digest 2004: Comparing education statistics across the world. -
Montreal: UNESCO inst. for Statistics, 2004. - 153 p.
7. Bruner, Jerome Seymour The culture of education. - Cambridge, Mass: Harvard Univ
Press, 1996. - XVI, 224 p.
8. E-LEARNING and training in Europe: A survey into the use of e-learning in training and
professional development in the European Union. - Luxembourg: Office for office. Publ. of
the Europ. Communities, 2002. VI, 65 p.
9. INTERNATIONAL mobility of the highly skilled: OECD proceedings. - Paris: OECD,
2002. - 348 p.
10. NATIONAL action to implement lifelong learning in Europe. - Brussels: Eurydice, 2001.
- 151 p.
11. WHAT schools for the future? Schooling for tomorrow. - Paris: OECD, 2001. 250 p.
12. CHANG, Gwand-Chol et al. Educational planning through computer simulation /
G. - C.Chang, M.Radi - Paris: UNESCO, 2001. - [VIII], 85 p.
13. Learning to bridge the digital divide: schooling for tomorrow. Paris: OECD, 2000. 137p.
14. LEARNING to change: the experience of transforming education in South East Europe,
Ed. By Terrice Bassler. - Budapest etc.; Centr. Europ. Univ. Press, 2005. - XIX, 220 p.
14. Marty Nicole Informatique et nouvelles pratiques d ecriture. Paris: Nathan, 2005. - 256p.
15 . Charlier Bernadette, Peraya Daniel Technologie et innovation en pedagogie. - Bruxelles:
De Boeck & Larcier sa; Editions De Boeck Universite, 2003. - 230 p.
NUMERICAL ANALYSIS
Semester: V semester
Course Type: Lectures and labs
Hours per week: 3 lecture hours and 2 lab hours /Fall Semester
ECTS credits: 8,0 credits
Lecturer: Assoc. Prof. Stefan Stefanov, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics
Course Description: The course in Numerical Analysis includes basic numerical methods of
mathematical analysis, algebra, and differential equations: interpolation and least squares
data fitting as methods for approximating functions given by tabulated data; numerical
differentiation; numerical integration – Newton-Cotes and Gauss quadrature formulas;
numerical solution of nonlinear equations; numerical solution of linear systems of algebraic
equations; numerical solution of the initial-value problem for ordinary differential equations
of first order; numerical solution of the boundary value problem for ordinary differential
equations of second order; and variational methods for solving operator equations (including
differential equations).
Course Objectives: Students should obtain knowledge and skills for numerical solutions of
problems in the area of mathematical analysis, algebra and differential equations, which are
applicable for solving various problems.
Teaching Methods: lectures, tutorials and lab exercises
Requirements/Prerequisites: Mathematical Analysis, Linear Algebra, Analytic Geometry,
Differential Equations
Assessment: written final exam covering problems /omitted in case the average grade of two
current problem tests is higher than Very Good 4.50/ (grade weight is 30 %) and theory on
two topics (grade weight is 30 %); two homework (grade weight is 20 %) and two projects
(grade weight is 20 %)
Registration for the Exam: coordinated with lecturer and Student Service Department
References: Basic Titles:
1. Бл. Сендов, В. Попов – “Числени методи”, I част, Университетско издателство “Св.
Климент Охридски”, София, 1996; II част, “Наука и изкуство”, 1978.
2. Б. Боянов – “Лекции по числени методи”, София, 1995.
3. Колектив – “Сборник от задачи по числени методи”, 2-ро изд., Университетско
издателство “Св. Климент Охридски”, София, 1994.
4. М. Касчиев – “Ръководство по числени методи”, изд. “Мартилен”, София, 1994.
Additional Titles:
1. R. L. Burden, J. D. Faires – “Numerical Analysis”, ”, 9-th ed., Cengage Learning,
Stamford, CT, USA, 2010.
2. J. D. Faires, R. L. Burden – “Numerical Methods”, Brooks/Cole Publishing Company,
Pacific Grove, CA, USA, 2002.
3. S.M. Stefanov – “Numerical Analysis”, MS4004-2203, Limerick, 1998.
GEOMETRY
Semester: 5 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 2 tutorial hours / Fall Semester
ECTS credits: 8,0 credits
Lecturer: Assoc.Prof. Dr. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The course includes: studying of basic themes of the classical
differential geometry of the curves, the one-parametric sets of straight lines and the surfaces
in the three-dimensional real Euclidean space.
Course Aims: The students have to obtain knowledge and skills for application of the
differential-geometric methods for learning of geometric objects.
Teaching Methods: Lectures, tutorials, home works, problem solving tests.
Requirements/ Prerequisites: Analytic Geometry, Mathematical Analysis, Differential
Equations.
Assessment: written exam on topics from tutorials and on topics from lectures.
Registration for the Exam: coordinated with the lecturer and Student Service Department.
References: Basic Titles
1. Borisov, A. Differential Geometry. University Press, South-West University “Neofit
Rilski” Blagoevgrad, 1994(in Bulgarian).
2. Gjonov, A. Handbook on Differential Geometry. Sofia, 1999 (in Bulgarian).
Additional Titles:
1. Ivanova-Karatopraklieva, I. Differential Geometry. University Press “St. Kl. Ohridski”,
Sofia, 1994 (in Bulgarian).
2. Petkanchin, B. Differential Geometry. Sofia, 1964 (in Bulgarian).
3. Stanilov, G. Differential Geometry. Sofia, 1997 (in Bulgarian).
PSYCHOLOGY
Semester: V semester
Type of Course: lectures and seminars
Hours per week: 2 hours lectures and 1 hour seminar / Fall Semester
ECTS credits: 5,0 credits
Lecturers: Assoc. Prof. Maria Mutafova, PhD
Department: Department of Psychology, Faculty of Philosophy, South-West University
“Neofit Rilski” – Blagoevgrad, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: Bachelors acquire specialized theoretical competence in Psychology
(General, Developmental and Educational psychology) course. The purpose of the proposed
training is students to benefit from advances in world practice in General, Developmental
and Educational psychology, and building skills to interpret data from empirical studies for
application of appropriate methods of psychological diagnosis, research design and
psychological characteristics of the interaction between teachers and students of varying
ages. Competence, skills and research culture in Psychology is stimulated.
Methods of teaching: lectures, seminars, tutorials, discussions.
Pre-requirements: No need
Assessment: permanent control during the semester including homework and written exams,
and written exam in the semester’s end on topics from tutorials and on topics from lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
PROBABILITY AND STATISTICS - METHODOLOGY AND
TECHNOLOGY
Semester: VI semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hours lectures and 2 hours tutorials in computer lab / Summer Semester
ECTS credits: 7,0 credits
Lecturers: Assoc. Prof. Elena Karashtranova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: In this course questions of Probability and Mathematical Statistics are
considered. Algorithms connected with finding structural and numerical characteristics of
graphs are represented. Basic notion of Probability and Statistics are considered connected
with Theory of Estimations and Decision Theory in case of big and small samples, testing of
hypothesis based on models about the probability distributions of the features in the
investigated population.
Objectives: The students should obtain knowledge and understanding that the intercourse
character needs to discover the connection Mathematics- Informatics- Physics- Economics
and much more other sciences:
Methods of teaching: seminars, tutorials, discussions, project based method.
Pre-requirements: It is helpful the students have some knowledge in Analysis and
Information Technology
Assessment and Evaluation: Three semestrials tests witch estimations will have part in the
final estimation (50%)
The course is successful completed with at least 65% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: Basic Titles
1. Димитров, Б., Янев, Н., Вероятности и статистика, 2001, София.
2. Каращранова Е., Интерактивно обучение по вероятности и статистика,
Благоевград, 2010
3. Карлберг К., Бизнес анализ с Microsoft Excel, СофтПрес 2003
4. Фелър, У. Теория на вероятностите. “Наука и изкуство”, София, 1985.
5. The Statistics Homepage - http://www.statsoft.com/textbook/stathome.html ©1984-
2008
6. Harrison P.G., Nonparametric density estimation, John Wiley,2002
7. Калинов К.,Статистически методи в поведенческите и социалните науки, НБУ,
2010
8. П. Копанов, В. Нончева, С. Христова, Вероятности и статистика,
ръководство за решаване на задачи,Университетско издателство „Паисий
Хилендарски”, 2012, ISBN 978-954-423-796-7
9. G.Freiman,Exploratory data analysis,J., Isr.Math, 2002
Additional Titles:
1. Байнов, Д., Теория на вероятностите и математическа статистика, Импулс-М,
София, 1990.
2. Въндев Д., Теория на вероятностите и Статистика за Физическия факултет на
СУ - http://stochastics.fmi.uni-sofia.bg/
3. Димитров, Б., Каращранова, Е. Статистика за нематематици, 1993, Благоевград.
4. Калинов К., Статистически методи в поведенческите и социалните науки,
София, 2001
DATABASE
Semester: VI semester
Course Type: lectures and lab exercises
Hours per week/FS/SS: 2 lecture hours and 2 lab exercise hours / Summer Semester
ECTS credits: 7,0
Lecturer: Prof. Peter Milanov, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course Description: In this course we will present Database Theory. Course contains
programmer/analyst –oriented in database management, practical training.
Course Aims: Students should obtain knowledge and skills for designing of real database.
Teaching Methods: lectures, demonstrations and work on project
Requirements/Prerequisites: Linear algebra, Computer languages.
Assessment: course project
Registration for the Exam: coordinated with the lecturer and Student Service Department
References: 1. Vidya Vrat Agarwal, Beginning C Sharp 5.0 Databases, 2012 New York Press,
2. Alapati and Bill Padfield, Expert Indexing in Oracle Database, 2011, New York Press,
3. Toby J. Teorey , Sam S. Lightstone , Tom Nadeau, H.V. Jagadish, Database Modeling and
Design Database Modeling and Design, 2012, Morgan Kaufmann Press
4. Henry H. Liu, Oracle Database Performance and Scalability A Quantitative Approach,
2011 A Jon Wiley and Son, US
5. Павел Азълов. Бази от данни. Релационен и обектен подход, техника, 1991 г.
6. Юлиана Пенева, Бази от данни. І част. София, ИК "Регалия " 6, 2002 г.
7. Shepherd J.C. Database management: Theory and Application. Irwin Inc.,USA 1990.
8. Мейер Д.р Теория релационных баз данных. Издательство "Мир". 1987.
DIDACTICS OF MATHEMATICS I
Semester: 6 semester
Course Type: Lectures
Hours per week: 2 lecture hours / Summer Semester
ECTS credits: 5,5 credits
Lecturer: Prof. Dr. Iliya Gyudzhenov
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. ++35973588545, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics
Short Description: The education of that discipline includes some of the General
Methodology of teaching mathematics.
Course Aims: To prepare the students, teach pupil in mathematics at school.
Teaching Methods: lectures, homework, and problem solving tests.
Requirements/Prerequisites: The students should have basics knowledge from school
mathematics.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures.
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Ganchev Iv. and others, Methodology of teaching mathematics (General Methodology),
Blagoevgrad, 2002.
2. Ganchev Iv. and others, Methodology of teaching mathematics (VIII – XI class), I part,
Sofia, 1998.
SCHOOL COURSES OF INFORMATICS AND ICT
Semester: 6 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 3 hours lecture and 3 hours tutorials in computer lab / Summer Semester
ECTS credits: 8,5 credits
Lecturers: Assoc. Prof. PhD. Daniela Tuparova
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course includes:
State of the art in the secondary school courses of informatics and ICT. State
educational Standards;
Basic modules of informatics and ICT secondary school curriculum
Programming in Pascal
Programming in QBasic
Objectives: The student should obtain knowledge of:
Educational standards in Informatics and ICT.
School’s curriculums in Informatics and ICT
Programming languages used in the secondary schools.
Methods of teaching: lectures, tutorials, discussions, problem passed method, Project based
method.
Pre- requirements: Programming, Data structures, Discrete Mathematics, ICT, Operating
Systems
Assessment and Evaluation Practical work-50%
Final Еxam- 50%
The course is successful completed with at least 65% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References
1. All school books in informatics and ICT, approved by Bulgarian Ministry Of Education
2. Jurnal Mathematics and Informatics, Sofia- In Bulgarian
3. Jurnal Informatics and education- in Russian
DIDACTICS OF INFORMATICS AND ICT
Semester: 7 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hours lecture and 2 hours tutorials in computer lab / Fall Semester
ECTS credits: 7,0 credits
Lecturers: Assoc. Prof. PhD. Daniela Tuparova
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course includes:
Methods and principles of instruction in secondary school courses in Informatics and
ICT;
Planning and organization of lessons in Informatics and ICT;
Specific methods of instruction of basic modules in Informatics and ICT at the
secondary school.
Objectives: The student should obtain knowledge of:
Educational objectives in secondary school courses of Informatis and ICT.
Ways of implementation of basic methods and rules of instruction.
Planning and development of school lesons in Informatics and ICT.
Development of problem solving
Analysis of school lessons in Informatics and ICT.
Methods of teaching: lectures, tutorials, discussions, problem passed method, Project based
method.
Pre- requirements: psychology, Pedagogy, Operating Systems, Programming Languages,
Data Structures, Word-processing, spreadsheets, Computer’s networks, Database, School
courses of informatics and ICT
Assessment and Evaluation Project- 40%
Practical work-30%
Final Еxam- 30%
The course is successful completed with at least 65% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References 1. Dureva D., Problems in didactics of informatics and ICT, 2003- in Bulgarian
2. Jurnal Mathematics and Informatics, Sofia- In Bulgarian
3. Jurnal Informatics and education- in Russian
DIDACTICS OF MATHEMATICS II
Semester: 7-th semester
Course type: lectures and seminars
Hours per week: 2 hours lecture and 2 hours seminars / Fall Semester
ECTS credits: 7,0 credits
Lecturers: Assoc. Prof. Elena Karashtranova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Description of the course: The subject includes problems of the Special Methodology of
teaching mathematics, that is the themes: functions, relations and operations, equations and
inequations, samenesses (identities) and likenesses, vector, geometric figures (Shapes) in the
plane and in the space.
Purpose (Aim) of the subject: To prepare the students, teach pupil in mathematics at
school.
Methods of teaching: Lectures and practices (exercises)
Precursory conditions: Knowledge in the content of the school course in mathematics, and
also knowledge in psychology and pedagogy.
Appraisement: Examination in written form
Registration for the examination: concerted with the teacher and the school department.
References:
1. Ganchev Ivan and others: “Methodology of teaching mathematics /General
Methodology/, Blagoevgrad, 2002.
2. Ganchev Ivan and others “Methodology of teaching mathematics from 8th to 11th class”
Sofia 1998
OBSERVATION OF LESSONS IN MATHEMATICS AT SCHOOL
Semester: 7-th semester
Course type: observation in real educational environment
Hours per week: 1 hour observation and discussions in lab / Fall Semester
ECTS credits: 2,0 credits.
Department: Department of Mathematics
Lecturers: Maya Stoyanova - PhD-student
, Faculty of Mathematics and Natural Sciences, South-West University “Neofit Rilski” –
Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course introduces students to their future profession. The students
observe lessons taught by supervised theachers at school, conferencing observed lessons and
present three analyses of observed lessons in writing.
Course aims: The aim of the course is to give students an idea of the basic requirements for
a lesson in mathematics, the skills to develop various kinds of lessons, to select and
streamline tasks offered to students, to evaluate the performance of the individual student
and the class as a whole.
Methods of teaching: tutorials - observations at school, discussion.
Pre-requirements: Didactics of Mathematics I and II, and School course in Mathematics.
Assessment and Evaluation
Participation in the discussions - 60%
Analysis of the lessons – 40%.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. School books of Mathematics approved by Ministry of education and used in
cooperated schools by supervised teachers.
OBSERVATION OF LESSONS IN INFORMATICS AND ICT AT
SCHOOL
Semester: 7-th semester
Course type: observation in real educational environment
Hours per week: 2 hours observation and discussions in lab / Fall Semester
ECTS credits: 4,0 credits
Lecturers: Assoc. Prof. Daniela Dureva
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: During the course students observe lessons in school. They participate
in discussions about used methods, interactions etc.
Objectives:
The student should obtain knowledge and skills to:
Evaluate and analysis of lessons carried out in secondary or high schools.
Determinate basic components of observed lessons as methods, structure of lessons,
principles, interactions among teacher and students etc.
Methods of teaching: observation, discussions, project based method.
Pre-requirements: Pedagogy, Pshycology, School courses of informatics and ICT
Assessment and Evaluation Semester’s grading - 100%
Assessment is based on the following components:
Participation in discussions after observation (30%);
Portfolio with collected notes of observations (50%);
Lesson plan for 1 lesson in Informatics (10%);
Lesson plan for 1 lesson in Informatics (10%);
The course is successful completed with at least 53% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 2. School books of ICT and Informatics approved by Ministry of education and used in
cooperated schools by supervised teachers.
AUDIOVISUAL AND INFORMATION TECHNOLOGIES IN
TEACHING
Semester: 8 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 1 hour lecture and 1 hour tutorials in computer lab / Summer Semester
ECTS credits: 2,5 credits
Lecturers: Assoc. Prof. PhD. Daniela Tuparova
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course includes:
Tools and technology in education
Basic characteristics of educational software
Multimedia in education
Internet in education
Technologies of E-learning
Objectives: The student should obtain knowledge of:
Rules of using educational software
Development and presentation of learning materials;
Use of Internet services for educational goals
E-learning
Methods of teaching: lectures, tutorials, discussions, problem passed method, Project based
method.
Pre-requirements: psychology, Pedagogy, Word-processing, spreadsheets, Computer’s
networks,
Assessment and Evaluation Project- 55%
Final Еxam- 45%
The course is successful completed with at least 65% of all scores.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Cassey Doyle, Microsoft Office 97 Step by Step, Microsoft Press, 1998
2. HTML в лесни стъпки, Софтпрес, 2000
3. Елизабет Кастро, HTML за World Wide Web, Инфодар, 2000
4. Даниъл Грей, Професионален дизайн в Web, Софтпрес, 2000
5. Yuval Fisher, Spining the Web, Springer 1996
PEDAGOGICAL PRACTICE IN MATHEMATICS
Semester: 8-th semester
Course type: Practice in real environment
Hours per week: 2 hours tutorials / Summer Semester
ECTS credits: 2,5 credits
Lecturers: Maya Stoyanova - PhD-student
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course prepares students to their future profession. Each student
taught two lessons – one in the secondary school grades 5-8 and one in the upper grades 8-
12. The other of the students observed lessons.
Course aims: The aim of the course is to give students an idea of the basic requirements for
a lesson in mathematics, the skills to develop various kinds of lessons, to select and
streamline tasks offered to students, to evaluate the performance of the individual student
and the class as a whole.
Methods of teaching: observations at school, discussions, teaching
Pre-requirements: Didactics of Mathematics I and II, and School course in Mathematics.
Assessment and Evaluation
Presentation of two lessons at school – 60%
Presented analysis of three lessons – 40%.
Registration for the Exam: coordinated with the lecturer and the cooperative teacher.
References: 1. School books of Mathematics approved by Ministry of education and used in
cooperated schools by supervised teachers.
PEDAGOGICAL PRACTICE IN INFORMATICS
Semester: 8-th semester
Course type: Practice in real environment
Hours per week: 2 hours practice / Summer Semester
ECTS credits: 2,5 credits
Lecturers: Assoc. Prof. Daniela Dureva
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: During the practice students obtain basic competences about lessons
planning, classes organizing, conducting of lessons in real school environment. The practice
is carried out under supervising of cooperative teacher (mentor) and responsible university
lecturer.
Objectives:
The student should obtain knowledge and skills to:
Plan activities for lessons and classes management;
Conduct training in real school environment.
Methods of teaching: observation, discussions, teaching.
Pre - requirements: Pedagogy, Pshycology, School courses of informatics and ICT
Assessment and Evaluation
Semester’s grading - 100%
Assessment is based on the following components:
Lesson’s plans for 2 lessons in Informatics or ICT (25%);
Performance of 2 lessons in real school environment (75%);
The course is successful completed with at least 53% of all scores.
Registration for the Exam: coordinated with the lecturer and the cooperative teacher
References: 2. School books of ICT and Informatics approved by Ministry of education and used in
cooperated schools by supervised teachers.
3. Dureva D. Problems of didactics in informatics and ICT, 2003, Blagoevgrad
PRE-GRADUATION PEDAGOGICAL PRACTICE IN MATHEMATICS
Semester: 8-th semester
Course type: Practice in real environment
Hours per week: 3 hours practice / Summer Semester
ECTS credits: 3,0 credits
Lecturers: Maya Stoyanova - PhD-student
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course prepares students to their future profession. By Order of the
Rector students are assigned to a school for 10 weeks practice. Each week they presented
three lessons and observed two lessons of their colleagues. For the whole practice they must
present 15 lessons at Secondary school and 15 lessons at High school. The cooperative
teacher (mentor) assists students in the development of the lessons and oversees the work of
trainees in school. If the trainee is not prepared for the lesson, the mentor and the director of
the school may require interruption of the practice.
Course aims: The aim of the course is to give students an idea of the basic requirements for
a lesson in mathematics, the skills to develop various kinds of lessons, to select and
streamline tasks offered to students, to evaluate the performance of the individual student
and the class as a whole.
Methods of teaching: observations at school, discussion, teaching.
Pre-requirements: Didactics of Mathematics I and II, and School course in Mathematics.
Assessment and Evaluation
Presentation of two or three lessons at school – 60%
Presented papers of the lessons – 40%.
Registration for the Exam: coordinated with the lecturer and the cooperative teacher.
References: 1. School books of Mathematics approved by Ministry of education and used in
cooperated schools by supervised teachers.
PRE-GRADUATION PEDAGOGICAL PRACTICE IN INFORMATICS
Semester: 8-th semester
Course type: Practice in real environment
Hours per week: 2 hours practice / Summer Semester
ECTS credits: 2,5 credits
Lecturers: Assoc. Prof. Daniela Dureva
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: During the practice student obtain basic competences about lessons
planning, classes organizing, conducting of lessons in real school environment. The practice
is carried out under supervising of cooperative teacher (mentor). Each student has to perform
30 lessons in classes according to schedule of supervised teacher.
Objectives:
The student should obtain knowledge and skills to:
Plan activities for lessons and classes management;
Conduct training in real school environment.
Methods of teaching: observation, discussions, teaching.
Pre - requirements: Pedagogy, Pshycology, School courses of informatics and ICT,
Hospetition, Practice in school
Assessment and Evaluation Semester’s grading - 100%
Assessment is based on the following components:
Lesson’s plans for lessons in Informatics or ICT (20%);
Performance of lessons in real school environment (80%);
The course is successful completed with at least 53% of all scores.
Registration for the Exam: coordinated with the lecturer and the cooperative teacher
References: 2. School books of ICT and Informatics approved by Ministry of education and used in
cooperated schools by supervised teachers.
3. Dureva D. Problems of didactics in informatics and ICT, 2003, Blagoevgrad
EDUCATION AND DEVELOPMENT OF SPECIAL NEEDS PUPILS
Semester: 8 semester
Type of Course: lectures and seminars
Hours per week: 2 hour lecture and 1 hour seminar / Summer Semester
ECTS credits: 4,0 credits
Lecturers: Assoc. Prof. Pelagia Terziyska, PhD
Department: Department of Pedagogy, Faculty of Pedagogy, South-West University
“Neofit Rilski” – Blagoevgrad, e-mail: [email protected]
Course Status: Compulsory course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is aimed at training, development and socialization of
children with special educational needs integrated into mainstream schools. Designed for the
acquisition of knowledge about the specifics of working with these students. The main
objective is introduces the students with the most effective methods, approaches and the
pedagogical technologies for teaching, of different groups of pupils with SEN, to clarify the
psychological and pedagogical problems of education and social adaptation in the midst
from their peers in norm.
Content of the course:
The main substantive points were: initial knowledge of the main characteristics of children
and pupils with SEN; specifics of the educational process in the mainstream school in terms
of integrated training; features of academic activities and teaching methods for different
groups of pupils with SEN; specific requirements to the teacher.
Teaching and assessment:
Training includes lectures. Knowledge available in the system, using interactive methods -
case studies, discussions, debates, role-plays, planning and conducting analysis mini-
experiments behavior of children with SEN in different situations and different social and
cultural environment. There were strict criteria for the development of papers, which are
transmitted within a given period for checking. After that all papers will be discussed in
class.
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Ainscow M., Booth T. (2003) The Index for Inclusion: Developing Learning &
Participation in Schools. Bristol: Center for Studies in Inclusive Education
2. Cortiella, C. (2009). The State of Learning Disabilities. New York, NY: National Center
for Learning Disabilities.
3. Stainback, W., & Stainback, S. (1995). Controversial Issues Confronting Special
Education. Allyn & Bacon.
4. Strully, J., & Strully, C. (1996). Friendships as an educational goal: What we have learned
and where we are headed. In W. Stainback & S.
5. Thomas, G., & Loxley, A. (2007) Deconstructing Special Education and Constructing
Inclusion (2nd Edition). Maidenhead: Open University Press.
6. Terziyska, P. (2012) Children with special educational needs in the mainstream
environment.
7. Trainer, M. (1991). Differences in common: Straight talk on mental retardation, Down
Syndrome, and life. Rockville, MD" Woodbine house.
OPTIONAL COURSES
COMPUTER ARCHITECTURES
Semester: 3-rd semester
Course type: Lectures
Hours per week: 3 lecture hours / Fall Semester
ECTS Credits: 5,0 credits
Lecturer: Assoc. Prof. L.Taneva, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad, tel. +35973588532
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Description of the course: The course covers the advanced computer systems, their
programming and functional model, introduce information in computer organization and
memory types (major, operational, permanent, outdoor, etc.), system interruptions, features
and technology solutions, conveyor ADP modes, system bus (types and structures), some
problems of modern computer architectures (RISC, parallel and multiprocessor computer
systems).
Scope of the course: Obtaining knowledge of a systematic overview of the modern
computer architecture, systems to form the theoretical and practical basis for better
understanding of the work of computers to acquire skills in programming in assembly
language.
Methods: discussions, practical exercises of the codes under consideration
Preliminary requirements: The students must have basic knowledge from mathematics.
Evaluation: permanent control during the semester (two written exams) and final exam.
Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic titles
1. Hennessy John L. and David A. Patterson, Computer Architecture, Fifth Edition: A
Quantitative Approach (The Morgan Kaufmann Series in Computer Architecture and
Design) (5th Edition), 2011.
2. Боровска Пламенка, Компютърни системи, второ преработено издание, Сиела,
София, 2007
3. Брадли, Д. “Програмиране на асемблер за персонален компютър IBM/PC” Техника,
София, 1989
4. Иванов Р. “Архитектура и системно програмиране за Pentium базирани компютри”,
Габрово, 1998.
5. J. L. Hennessy, D. A. Patterson. Computer Architecture: A Quantitative Approach (3rd
ed.). Morgan Kaufmann Publishers, 1996.
6. Боровски Б., Боровска П., Архитектура на ЕИМ и микрокомпютри, Техника, 1992.
7. Горслайн Дж., Фамилия ИНТЕЛ, Техника, 1990.
8. Въчовски И., Наръчник по 32-разредни микропроцесори.
9. Скот Мюлер, Компютърна енциклопедия, Част 1, 2, 3, СофтПрес 2002 г.
10. Бари Прес, Компютърна библия I и II част, АлексСофт,1998 г.
11. ШиндлерД., Компютърни мрежи, СофтПрес, 2003 г.
12. Людмила Иванова, Въведение в PC, изд. БАН, 2007 г.
Web
1. http://www.computers.bg
2. http://www.hardwarebg.com
3. http://www.comexgroup.com
4. http://www.webopedia.com
5. http://www.sagabg.net
6. http://benchmarkhq.ru
7. http://csg.csail.mit.edu/6.823/lecnotes.html , достъпни към май 2013
Additional titles
1. Wikipedia.ORG - Internet енциклопедия.
2. 3DNow: Technology Manual
3. S. Bondeli, Divide and conquer: A parallel algorithm for the solution of a tridiagonal
linear system of equations, Parallel Computing, 1991
4. Intel Corp. Intel Pentium 4 and Intel Xeon Processor Optimization Manual 2001
5. David Culler, Parallel Computer Architecture: A hardware software Approach, Morgan
Kaufmann, 1998
6. Брайант Рэндал Э., Дэвид О'Халларон , Компьютерные системы: архитектура и
программирование Computer Systems: A Programmer's Perspective, Издательство: БХВ-
Петербург, ISBN 5-94157-433-9, 0-13-034074-X; 2005.
DISCRETE MATHEMATICS
Semester: 3-rd semester
Course type: Lectures
Hours per week: 3 lecture hours / Fall Semester
ECTS Credits: 5,0 credits
Lecturer: Assoc. Prof. Dr. Sc. Slavcho Shtrakov
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course description: The course is an introduction in Discrete Structures used as a
mathematical model in different computer science areas: logic, operations and relations in
finite algebraic structures, representations of them as data structures, Boolean algebras,
graphs, complexity of algorithms, combinatorics, finite automata etc.
Course aims: Non-trivial introduction in some important for Computer science areas,
allowing the students to use effectively their knowledge in solving combinatorial problems.
Teaching methods: lectures, tutorials, group seminars or workshop, projects, other methods
Requirements/ Prerequisites: Basic knowledge in Mathematics.
Materials: Textbook and manual of the course are published, instructions for every
laboratory theme and exemplary programs; access to web sites via Internet.
Evaluation: Written examination and discussion at the end of the semester, individual tasks
and the general student’s work during the semester.
Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
1. Денев, Й., С. Щраков, Дискретна математика, Благоевград,1995
2. Павлов, Р., С. Радев, С. Щраков, Математически основи на информатиката,
Благоевград, 1997
3. Денев, Й., Р. Павлов, Я. Деметрович, Дискретна математика, София, 1984
4. Т.Фудзисава, Т.Касами, Математика для радиоинжинеров, Радио и связь, Москва,
1984.
5. К.Чимев, Сл.Щраков, Математика с информатика, Благоевград, 1989.
6. С.В.Яблонски, Введение в дискретную математику, М.,1979.
7. С.В.Яблонски, Г.П.Гаврилов, В.Б.Кудрявцев, Функции алгебры логики и классы
Поста, М.,1966.
8. Z.Manna, Mathematical theory of computation, McGraw-Hill Book Company, NY, 1974.
9. V.J.Rayward-Smith, A first course in formal language theory, Bl.Sc.Publ., London, 1983.
10. A.Salomaa, Jewels of formal language theory, Comp.Sc.Press, Rockville, 1981.
INFORMATION TECHNOLOGY
Semester: 3 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hour lecture and 1 hour tutorials in computer lab / Fall Semester
ECTS credits: 5,0 credits
Lecturers: Assoc. Prof. PhD. Daniela Tuparova
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is introduction in Information systems and technologies.
The basic concepts and principles in ICT such as Information, Information processes,
operating systems, office software, multimedia and computer graphics, presentation of
information etc. are discussed. The course is an extension of the secondary school course in
ICT
Objectives: The student should obtain knowledge of;
Basic concepts in ICT
Types of system and application software.
Most popular services in Internet;
Information security and ethical and Law Issues of ICT.
Methods of teaching: lectures, tutorials, discussions, problem passed method, Project based
method, e-learning technologies
Pre- requirements: No
Assessment and Evaluation Project- 20%
Formatitive Tests- 30%
Final Test- 5035%
The course is successful completed with at least 65% of all scores. Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References:
1. Halversen, M., Yung M., All for Microsoft Office XP, Софтпрес, Sofia, 2001
2. ICT course- http://www.e-learning.swu.bg - after registration of the student.
COMPUTER MODELS IN NATURAL SCIENCES
Semester: 4-th semester
Course Type: lectures and labs
Hours per week: 2 lecture hours and 1 lab hour / Summer Semester
ECTS Credits: 4,0
Lecturer: Assoc. Prof. M. Kolev, PhD
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. ++35973588545, e-mail
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course Description: The course “Computer model in science” could be used as a basic or
optional one for all subjects aiming broad university preparation. The course is adapted and
applied in teaching in the departments “Informatics”, “Pedagogy of Teaching of
Mathematics and Computer Science”, “Pedagogy of Teaching of Physics and mathematics”.
To take that course it is enough for the student to have accomplished regular mathematics
and science secondary school courses. Among the main objectives of the course (in times of
information revolution and new information technologies) is the good and timely orientation
and the acquisition of general mathematical and scientific knowledge by students - it is
adapted first of all for non-physics students.
The course comprises of separate modules and mostly of computer experiments. For each
PC-experiment with color computer animation, graphics, numerical results, explanations are
provided. There are experiments in mechanics, thermodynamics and molecular physics,
oscillations and waves, electricity and magnetism; optics, quantum physics, math. ecologies,
biophysics, nonlinear economics, astrophysics, etc. The possibility in the course of
independent work the change the parameters and observe the results of a computer
experiment allows the student to investigate interactively each model in each topic. All that
results in promotion of interest towards scientific knowledge and new information
technologies application along with learning motivation. PC-models in Mathematical
methods of investigation are used in every field of science and technology. Differential
Equations are the foundations of the mathematical education of scientists and engineers.
(PC –models also use a model of exponential growth, comparison with discrete equations,
series solutions; modeling examples including radioactive decay and time delay equation,
integrating factor, series solution. nonlinear equation , separable equations, families of
solutions, isoclines, the idea of a flow and connection vector fields, stability, phase-plane
analysis; examples, including logistic equation and chemical kinetics. resonance, coupled
first order systems, examples and PC-models of nonlinear dynamics, order and chaos,
attractors. etc.)
Course Aims: The main goal is the students to master the instruments and methods of
modeling in science.
Teaching Methods: lectures, tutorials, homeworks, tests, etc.
Requirements/Prerequisites: Calculus I and II, Linear Algebra and Analytical Geometry,
Differential Equations.
Exam: tests, home works, final exam.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Kirkpatrick, Wheeler. Physics. A World View. 2-nd ed. 1995.
2. Stewart J. Calculus. III ed. (AUBG). 1996.
3. Фулър. Х., Р. Фулър. Физиката в живота на човека, изд. Наука и изкуство. С.,
1988.
4. Pontryagin L.S., Differential equations and applications, Moscow, 1988 (in Russian).
5. Boss. Lectures in mathematics. Differential equations, Moscow, 2004 (in Russian).
6. Elsgolc. L. Differential equations and variational calculus, Moscow, 2000 (in
Russian)
7. Diacu. An Introduction to Differential Equations: Order and Chaos, Freeman, 2000.
8. Максимов, М., Г. Христакудис. Физика 10.клас, Булвест, С., 2000.
9. Райчев, П., Кр. Иванов и др. Физика за 10 клас (ч. 2. Вълни и частици),
Просвета, С., 1991г.
10. Файнман, Р., Р. Лейтон, М.Сендс. Файнманови лекции по физика.
11. www.exponenta.ru
12. Multimedia course “Open Physics–I and II”
13. WinSet. M-I, 2003 etc.
14. www.mathworld.wolfram.com.
ALGORITHMS FOR GRAPHS AND NETWORKS
Semester: 4 semester
Cours Tipe: Lectures
Hours per week: 3 lecture hours / Summer Semester
ECTS credits: 4,0 credits
Lecturer: Prof. Ivan Mirchev, DSc
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics. Short Description: The 1970s ushered in an exciting era of research and applications of
networks and graphs in operations research, industrial engineering, and related disciplines.
Graphs are met with everywhere under different names: "structures", "road maps" in civil
engineering; "networks" in electrical engineering; "sociograms", "communication structures" and
"organizational structures" in sociology and economics; "molecular structure" in chemistry; gas
or electricity "distribution networks" and so on.
Because of its wide applicability, the study of graph theory has been expanding at a very rapid
rate during recent years; a major factor in this growth being the development of large and fast
computing machines. The direct and detailed representation of practical systems, such as
distribution or telecommunication networks, leads to graphs of large size whose successful
analysis depends as much on the existence of "good" algorithms as on the availability of fast
computers. In view of this, the present course concentrates on the development and exposition of
algorithms for the analysis of graphs, although frequent mention of application areas is made in
order to keep the text as closely related to practical problem-solving as possible.
Although, in general, algorithmic efficiency is considered of prime importance, the present
course is not meant to be a course of efficient algorithms. Often a method is discussed because of
its close relation to (or derivation from) previously introduced concepts. The overriding
consideration is to leave the student with as coherent a body of knowledge with regard to graph
analysis algorithms, as possible.
In this course are considered some elements of the following main topics:
Introduction in graph theory (essential concepts and definitions, modeling with graphs
and networks, data structures for networks and graphs, computational complexity,
heuristics).
Tree algorithms (spanning tree algorithms, variations of the minimum spanning tree
problem, branchings and arborescences).
Shortest-path algorithms (types of shortest-path problems and algorithms, shortest-paths
from a single source, all shortest-path algorithms, the k- shortest-path algorithm, other
shortest-paths).
Maximum- flow algorithms (flow-augmenting paths, maximum-flow algorithm,
extensions and modifications, minimum-cost flow algorithms, dynamic flow algorithms).
Matching and assignment algorithms (introduction and examples, maximum-cardinality
matching in a bipartite graph, maximum-cardinality matching in a general graph,
maximum-weight matching in a bipartite graph, the assignment problem).
The chinest postman and related arc routing problems ( Euler tours and Hamiltonian
tours, the postman problem for undirected graphs, the postman problem for directed
graphs).
The traveling salesman and related vertex routing problems (Hamiltonian tours, basic
properties of the traveling salesman problem, lower bounds, optimal solution
techniques, heuristic algorithms for the TSP).
Location problems (classifying location problems, center problems, median
problems).
Project networks (constructing project networks, critical path method, generalized
project networks).
Course Aims: Students should obtain basic knowledge and skills for solving optimization
problems for graphs and networks.
Teaching Methods: lectures, individual student’s work
Requirements/Prerequisites: Linear Algebra, Linear optimization
Assessment: 3 homework D1,D2,D3; 2 tests K1, K2 ( project); written final exam
Rating: = 0,2.(D1D2 D3)/3 + 0,5.(K1K2)/2 + 0,3.(Exam)
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and Students Service Department
References:
Basic:
1. Ив.Мирчев, "Графи. Оптимизационни алгоритми в мрежи", Благоевград, 2001 г.
2. Ив.Мирчев, "Математическо оптимиране", Благоевград, 2000 г.
3. Minieka, Е., Optimization Algorithms for Networks and Graphs, Marcel Dekker,
Inc., New York and Basel, 1978 (Майника, 3. Алгоритми оптимизации па сетях и
графах, М., "Мир", 1981).
Additional:
1. Keijo Ruohonen. GRAPH THEORY. math.tut.fi/~ruohonen/GT_English.pdf, 2008
2. A book on algorithmic graph theory, http://code.google.com/p/graph-theoryalgorithms-
book/;
3. Ronald Gould. Graph Theory (Dover Books on Mathematics. 2012. US Cafifornia.
4. Lih-Hsing Hsu , Cheng-Kuan Lin, Graph Theory and Interconnection Networks.
1420044818, 2008, 5. Team DDU.Christofides, N., Graph Theory. An Algorithmic approach, Academic Press lnc
(London) Ltd. 1975, 1977 (Крисгофидес, И. Теория графов. Алгоритмический подход, М.,
"Мир", 1978 ).
6. Swamy, М., К. Thulasirman, Graphs, Networks and Algorithms, John Wiley & Sons, 1981
(Сваами M., K. Тхуласирман. Графм, сети и алгоритми, М., "Мир", 1984).
SEPARABLE SETS OF VARIABLES OF FUNCTIONS
Semester: 4 semester
Course Type: Lectures and seminars
Hours per week: 2 lecture hours and 1 hour seminar/ Summer Semester
ECTS credits: 4.0 credits Lecturer: Assoc. Prof. Dimiter St. Kovachev, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. ++35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course Description: The study of behavior of discrete functions when they are substituted
by some of their variables by constants, as well as identification of variables, is connected
with the development of mathematical cybernetics, automata theory, it is used in the study of
recursive functions, in some methods for synthesis of control systems, in the synthesis of
contact schemes (the cascade method) and many other parts of the theoretical and applied
informatics. In the proposed course, some topics connected with separable sets of variables
for the functions are considered, whose applied interpretation in the synthesis of contact
schemes and automata make them actual and important. Graphs of functions with respect to
separable pairs of their variables are studied. Great attention is paid to strongly essential and
с-strongly essential variables for the functions.
Course Aims: Students should obtain basic knowledge in the area of Theory of separable
sets of variables for the functions, as well as the ability to apply this theoretical knowledge to
Graph Theory in respect to their separable pairs of variables.
Teaching Methods: lectures, exercises, course works and extracurricular occupation.
Requirements/Prerequisites: Preliminary knowledge of Graph Theory and Discrete
Functions is useful.
Assessment: Current assessment (four homeworks H1, H2, H3, H4; two control works C1,
C2 /course works/) and Exam grade.
Final Grade: FG=0.05(H1+H2+H3+H4)+0.2(C1+C2)+0.4(Exam)
Registration for the Course: by request at the end of the previous semester.
Registration for the Exam: coordinated with the lecturer and Student Service Department.
References: Basic Titles
1. Chimev, K. Separable Sets of Arguments of Function. Blagoevgrad, 1983, 1-190.
2. Chimev, K. Functions and Graphs. Blagoevgrad, 1983, 1-195.
3. Chimev, K. Separable Sets of Arguments of Function. Blagoevgrad, 2005.
Additional Titles
1. Chimev, K., Separable Sets of Arguments of Function, MTA Sz TAKI, Budapest,
180, 1986, 1-173
2. Chimev, K. Discrete functions and subfunctions. Blagoevgrad, 1991, 1-258.
3. Chimev, K., Aslanski, Structural characteristics of one class of Boolean Functions,
Koezlemenyck, 31, 1984, 23-31.
4. Chimev, K., Il. Gyudzhenov. Subfunctions and power of some classes of functions.
Blagoevgrad, 1991, 1-220.
5. Chimev, K., Iv. Mirchev. Separable and dominating sets of variables, Blagoevgrad,
1993, 1-131.
6. Shtrakov, Sl. Dominating and annulling sets of variables for the functions.
Blagoevgrad, 1987, 1-180.
7. Shtrakov Sl. and Denecke K., Essential Variables and Separable Sets in Universal
Algebra, 2008
8. Shtrakov Sl and Koppitz J., Finite symmetric functions with non-trivial arity gap, Serdica
J. Computing 6 (2012), 419–436.
VBA PROGRAMMING
Semester: 4 semester
Type of Course: Lectures and tutorials in computer lab.
Hours per week: 1 hour lectures and 2 hours tutorials in computer lab / Summer Semester.
ECTS credits: 4,0 credits
Lecturers: Assoc. Prof. Daniela Tuparova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course description: The course is introduction in area of object-oriented and distributed
databases. Transaction processing, Data warehousing and Conceptual and semantic
approaches of data modeling are considered. A short description of corporative DBMS
(Oracle DB) is introduced.
Objectives: The student should obtain knowledge of:
Design and use of object-oriented and distributed databases.
Transaction processing.
Conceptual and semantic approaches of data modeling.
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre- requirements: Database systems (core course)
Assessment and Evaluation Project- 30%
Final Test- 70%
The course is successful completed with at least 65% of all scores.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References 1. Peneva J., Tuparov, G., Databases Part II, Regalia 6, Sofia, 2004
2. Peneva J., Databases Part I, Regalia 6, Sofia, 2004
3. Elmasri, R., Navathe, S. Fundamentals of Database Systems, 4-th ed. Addison-Wesley,
2004
4. Connolly, T., Begg, C. Database Systems: A Practical Approach to Design,
Implementation and Management, 4-th ed., Pearson Education, 2004
DEVELOPMENT OF INTERACTIVE MULTIMEDIA EDUCATIONAL
CONTENT
Semester: 5 semester
Course Type: lectures, seminars
Hours per week/FS/SS: 2 lecture; 1 seminar exercise / Fall Semester
ECTS credits: 4,5
Lecturers: Assoc. Prof. Daniela Dureva
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course Description: The course covers topics in area of development of interactive
multimedia educational content with MS Power Point and Visual Basic for Application
(VBA).
Objectives:
The student should obtain knowledge and skills to:
Design of interactive multimedia for educational purpose.
Develop interactive multimedia content.
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre - requirements: Information technology
Assessment and Evaluation Semester’s grading - 60%, includes grading of project
Final Test- 40%
The course is successful completed with at least 53% of all scores. Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and Student Service Department
References:
1. Online courses at: www.e-learning.swu.bg и www.leo.swu.bg
2. Иванов И. Интерактивни презентации, Нова Звезда 2011
3. PPT Tools, http://www.pptools.com/index.html?referrer=pptfaq
4. Markoviz d., Powerful PowerPoint for Educators: Using Visual Basic for Application
to Make PowerPoint Interactive,http://www.loyola.edu/edudept/PowerfulPowerPoint/
OPERATIONAL RESEARCH
Semester: 5 semester
Course Type: lectures, seminars
Hours per week/FS/SS: 2 lecture; 1 seminar exercise / Fall Semester
ECTS credits: 4,5
Lecturer:. Prof. Peter Milanov, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics
Course Description: The aim of the research operation is quantitative analysis and finds a
solution by management system.
Course Aims: Students should obtain knowledge and skills to find the optimal solution in the
analyzing problem.
Teaching Methods: lectures, demonstrations and work on project
Requirements/Prerequisites: Linear algebra, Computer languages. optimization theory.
Assessment: course project
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and Student Service Department
References:
1. H. A. Eiselt, Operations Research: A Model-Based Approach (Springer Texts in Business and
Economics), 2012, Springer Heidelberg NY.
2. Hamdy A. Taha, Operations Research: An Introduction, 2010 Springer,
3. A. Ravi Ravindran, Donald P. Warsing Jr.Supply Chain Engineering: Models and
Applications (Operations Research Series), 2012, Jonson and Son,
4. Венцель И. Исследования операции. Москва, 1970.
5. Vagner G. Operational research Vol I-III 1998.
6. Зайченко Ю. Исследования операции. Москва, 1988
PROGRAMING WITH OBJECT PASCAL AND DELPHI
Semester: 5th semester
Type of Course: lectures and labs
Hours per week: 2 lectures + 2 labs per week / Fall Semester
ECTS credits: 4,5 credits
Lecturers: Assoc. Prof. PhD Krasimir Yankov Yordzhev
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: In the course students are introduced with methods and means of
Object-oriented programing in integrated development interface for visual programing -
Delphi. The students should have a basic knowledge on programming with Pascal. Suppouse
that students are successablity passed courses in Programming and Data structures and
Object-oriented programming (in SWU this courses are basic on program language C++) and
students are known for fundamental skils in programming. In the course students develop
programs using different platform and language - Object Pascal and Dlephi.
Objectives: Basic objectives and tasks:
The students give knowledge for algorithum thinking;
to give knowledge for Data stuctures, that can process with computer;
to give knowledge for methods and skils in Object-oriented programming in
integrated development environment for visual programming;
to give knowledge for syntax of another program language (Object Pascal and
Delphi);
to give knowledge for good style in programming;
to give knowledge for basic principles when develop applications.
Methods of teaching: lectures and labs
Pre-requirements: Basic knowledge in "Programming and Data structures".
Exam: two course projects and final exam
Registration for the Course: A request is made by students at the end of the current
semester
Registration for the Exam: Coordinated with the lecturer and the Student Service Office
References: 1. Франк Елер Delphi 6. „ИнфоДАР”, 2001.
2. Христо Крушков Програмиране с Delphi. Пловдив, „Макрос”, 2004.
3. Мартин Гардън Delphi – създаване на компоненти. АмПрес, 1999.
4. Хавиер Пачеко, Стийв Тейхера Delphi 5, т.1, т.2, т.3, „ИнфоДар”, 1999
5. Хавиер Пачеко, Стийв Тейхера Delphi 5 – ръководство за напреднали. „ИнфоДАР”,
1999.
6. Марко Канту, Mastering Delphi 6, т.1, т.2, "Софтпрес", 2002
MATHEMATICAL STRUCTURES
Semester: 5-th semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hours / Fall Semester
ECTS credits: 4,5 credits
Lecturers: Assoc. Prof. Visil Grozdanov, Ph.D.
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The subject education includes the study of basic number system and the
basic algebrical theorem.
Course Aims: The students obtain knowledge and skills in the already mentioned themes
and learn how to use them in their future educational practice.
Teaching Methods: lectures, tutorials, homework, and problem solving tests.
Requirements/Prerequisites: The students should have basics knowledge from High
algebra, Number theory and Mathematical analysis.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures. Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
1. Petkanchin, B. Fundamentals of Mathematics, Science and art, Sofia, 1963.
2. Davidov, L., S. Dodunekov. Elementary algebra and elementary functions, Narodna
prosveta, Sofia, 1984.
3. Radnev, P. The foundations of the school course of algebra and analysis. University
Press, Plovdiv, 1985.
4. Roussev, R., V. Georgiev. Guidance for solving problems of mathematics for applicants
for universities, Science and art, Sofia, 1973.
DESCRIPTIVE GEOMETRY
Semester: 5 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hour /Fall Semester
ECTS credits: 4,5 credits
Lecturer: Assoc.Prof. Dr. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The course includes studying of basic topics in classical Descriptive
Geometry: Monge’s method, acsonometry and perspective.
Course Aims: The students should assimilate and enlarge their knowledge in
Stereometry and to developed their space imagination.
Teaching Methods: lectures, tutorials, homeworks, problem solving tests.
Requirements/Prerequisites: Stereometry , High School Mathematics
Assessment: written exam on topics from tutorials and on topics from lectures. Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Dimitrov, St., R. Petrov. Descriptive Geometry. Sofia, 1974 /in Bulgarian/.
2. Dimitrov, St., Handbook on Descriptive Geometry. Sofia, 1969 /in Bulgarian/.
3. Langov, A. Descriptive Geometry. Sofia, 1979 /in Bulgarian/.
Additional Titles
1. Petrov, G. Descriptive Geometry. Sofia, 1958 /in Bulgarian/.
2. Uzunov, N., G. Petrov, S. Dimitrov. Descriptive Geometry. Sofia, 1965 /in Bulgarian/.
3. Tabakov, D. Handbook on Descriptive Geometry. Sofia, 1941 /in Bulgarian/.
FUNDAMENTALS OF ARITHMETIC
Semester: 5-th semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hours / Fall Semester
ECTS credits: 4,5 credits
Lecturer: Assoc. Prof. Dr. Ilinka Dimitrova
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. ++35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The optional course in Fundamentals of the Arithmetic has the objective
to make the students familiar with the notation of “number” and connected with it operations
and ordinance relation. The course comprises the natural numbers, the integer numbers, the
rational numbers, and the real numbers and in particular cases the complex numbers. The
course start with the definition of the notation “finite set” and the notation “induction set”,
which was introduced in the beginning of the 20-th century by B. Russell. The course pays
attention to the notation natural number; to the operations addition and multiplication of two
natural numbers; to the laws that they satisfy; to the inequality between two natural numbers.
The students should learn to pass from a decimal system to an arbitrary system. The course
continuing with extensions of the semiring of the natural numbers to the ring of the integer
numbers, also to the semifield of the fractions and their ordinances. The course finishes with
the consideration of the real and the complex numbers.
Course Aims: Students should obtain knowledge and skills for the recent theoretical ideas
and the whole scholar course of education in Algebra.
Teaching Methods: lectures, tutorials, homework, and problem solving tests.
Requirements/Prerequisites: The students should have basics knowledge from Number
theory and High algebra.
Assessment: permanent control during the semester including homework and two written
exams, and written exam in the semester’s end on topics from tutorials and on topics from
lectures. Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
5. Denecke, Kl., K. Todorov, Fundamentals of Arithmetic, Blagoevgrad 1999.
6. Petkov, P. Fundamentals of Arithmetic. Library of the Faculty of mathematics in
University “Kliment Ohridski”, Sofia.
7. Ziapkov, N., N. Yankov, I. Mihailov. Elementary Number Theory. „Faber”, Veliko
Tarnovo, 2008.
Additional Titles
1. Petkanchin, B. Fundamentals of Mathematics, Sofia, 1959.
Липсват от 5 група
GEOMETRY OF THE CIRCLES
Semester: 7 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hour /Fall Semester
ECTS credits: 5.0 credits
Lecturer: Assoc.Prof. Dr. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The course includes studying of the bundle of circles and some
transformations of the circles.
Course Aims: Students should obtain knowledge for the circles.
Teaching Methods: lectures, tutorials, homeworks, problem solving tests.
Requirements/Prerequisites: School course of Geometry.
Assessment: written exam on topics from tutorials and on topics from lectures. Registration for the Course: by request at the end of the current semester
Registration for the exam: coordinated with the lecturer and student Service Department
References:
Basic Titles
1. Borisov, A., A. Langov. School course of Geometry. University Press “N. Rilski”,
Blagoevgrad, 2007 /in Bulgarian/.
2. Borisov, A., A. Langov. Handbook on School course of Geometry. University Press “N.
Rilski”, Blagoevgrad, 2011 /in Bulgarian/.
3. Petrov, K. Hendbook on Mathematics. Planimetry. Vol. I and II. Sofia, 1966 /in
Bulgarian/.
Additional Titles
1. Adamar, J. Elementary Geometry. Moscow, 1957 /in Russian/.
2. Perepolkin, D. I. Course of Elementary Geometry. Sofia, 1956 /in Bulgarian/.
FUNDAMENTALS OF GEOMETRY
Semester: 7 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hour /Fall Semester
ECTS credits: 5.0 credits
Lecturer: Assoc.Prof. Dr. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The course includes studying of the following basic topics: Hilbert’s
axiomatic, Kolmogorov’s metric axiomatic and Well’s axiomatic of the Euclidean Geometry
and their equivalence is proved.
Course Aims: Students should obtain knowledge and skills about rigorous construct of a
mathematical discipline.
Teaching Methods: lectures, tutorials, homeworks and tests.
Requirements/Prerequisites: High School Mathematics
Assessment: written exam on topics from tutorials and on topics from lectures.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with lecturer and Student Service Department
References:
Basic Titles
1. Borisov, A., A. Langov. Foundations of geometry. Blagoevgrad, University Press “N.
Rilski”, Blagoevgrad, 2009 /in Bulgarian/.
2. Losanov, Ch., A. Langov, G. Eneva. Synthetic Geometry, University Press “St. Kl.
Ohridski”, Sofia 1994 /in Bulgarian/.
3. Petkanchin, B. Foundations of mathematics. Sofia, “Nauka i Izkustvo”, 1968 /in
Bulgarian/.
Additional Titles
1. Martinov, N. Geometry. Sofia, “Nauka i Izkustvo”, 1968 /in Bulgarian/.
2. Hilbert, D. Foundations of geometry. “Nauka i Izkustvo”, 1978 /in Bulgarian/.
METHODS OF EXTRA-CURRICULAR WORK IN MATHEMATICS
Semester: 7 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hour /Fall Semester
ECTS credits: 5.0 credits
Lecturer: Prof. DSc. Oleg Mushkarov
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: Main topics:
- Bulgarian and International mathematical olympiads
- Geometric problems on maxima and minima
- Algebraic inequalities
- Employing algebraic inequalities
- Employing geometric transformations
- Selected types of geometric problems on maxima and minima
- Complex numbers
Course Aims: To develop the basic principles of teaching extracurricular topics in
mathematics for high school students by using various methods for solving geometric
problems on maxima and minima.
Requirements/Prerequisites: Basic knowledge of the high school courses of Algebra and
Geometry.
Assessment: Written exam on problem solving and on the theoretical material from the
lectures and project developed by the student.
Registration for the Course: by request at the end of the current semester
Registration for the exam: Students and the lecturer agree on the convenient dates within
the announced calendar schedule of examination session.
References:
Basic Titles
1. O. Mushkarov, L. Stoyanov, Geometric Extremum Problems , Narodna Prosveta, Sofia,
1989
2. I. Tonov, Applications of complex numbers in geometry Narodna Prosveta, Sofia, 1988
3. T. Andreescu, O. Mushkarov, L. Stoyanov, Geometric Problems on Maxima and Minima,
Birkhauser Boston, 2005
Additional Titles
1. L. Davidov, V. Petkov, I. Tonov, V. Chukanov, Mathematical competitions Narodna
Prosveta, Sopfia, 1977
2. P. Boivalenkov, E. Kolev, O. Mushkarov, N. Nikolov, Bulgarian Mathematical
Competirions 2006 – 2008, UNIMATH, Sofia, 2008 .
3. P. Boivalenkov, E. Kolev, O. Mushkarov, N. Nikolov, Bulgarian Mathematical
Competirions 2009 – 2011, UNIMATH, Sofia, 2012 .
4. Mathematical Journals: Mathematics and Informatics, Mathematics, Mathematics Plus.
FUNDAMENTALS OF COMPUTER GRAPHICS
Semester: 7 semester
Course Type: Lectures and tutorials
Hours per week: 2 lecture hours and 1 tutorial hours /Summer Semester
ECTS credits: 5.0 credits
Lecturer: Assoc.Prof. Dr. Georgi Ganchev
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Short Description: The program a syllabus contains an extension of the subjects:
1. Linear transformations – collineations, affinities, similitudes, identities and their
classifications in the plane and in the space.
2. Fundamental methods of representation of the space on the plane – axonometry
and perspective.
Course Aims: The students have to obtain knowledge and skills for an application of the
transformations in the computer programs of the computer graph.
Teaching Methods: Lectures, tutorials, home works, problem solving tests.
Requirements/ Prerequisites: Analitic Geometry, Linear Algebra and School course of
Geometry.
Assessment: Written exam on topics from tutorials and on topics from lectures.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and Student Service Department.
References: Basic Titles
1. Borisov, A; A.Langov. Geometry. Blagoevgrad, Univ.Publ.”Neofit Rilski”, 2006.
2. Langov, A. Descriptiv Geometry. Sofia, Nauka and Izkustvo, 1979.
Additional Titles:
1.Borisov A; I.Gyudzhenov. Linear Algebra and Analitic Geometry. Blagoevgrad, Univ.
Publ. “Neofit Rilski”, 1999.
2. Losanov, Ch., A. Langov, G. Eneva. Syntetic Geometry. Sofia, Univ. Publ. “S.Kl.
Ohridski”, 1994.
EXPERT SYSTEMS
Semester: 7 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hours lecture and 1 hour tutorials in computer lab/ Fall Semester
ECTS credits: 5,0 credits
Lecturers: Assoc. Pro Irena Atanasova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail:
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is introduction in area of expert systems.
Objectives:
The student should obtain knowledge of:
Expert systems
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre- requirements: Functional and Logical Programming, Artificial Intelligence (core
courses)
Assessment and Evaluation Tutorials- 20%
Final Test- 80%
The course is successful completed with at least 51% of all scores.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Stuart Russell, Peter Norvig, Artificial Intelligence: A Modern Approach (3rd ed.),
Prentice Hall, 2009
2. Rajendra Akerkar, Priti Sajja, Knowledge-Based Systems, Jones & Bartlett Publishers,
2009
OBJECT-ORIENTED AND DISTRIBUTED DATABASES
Semester: 7 semester
Type of Course: lectures and tutorials in computer lab
Hours per week: 2 hours lecture and 1 hour tutorials in computer lab/ Fall Semester
ECTS credits: 5,0 credits
Lecturers: Assis. Prof. Velin Kralev, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: Course Status: Optional course in the B.S. Curriculum of
Mathematics and Informatics.
Course description: The course is introduction in area of object-oriented and distributed
databases. Transaction processing, Data warehousing and Conceptual and semantic
approaches of data modeling are considered. A short description of corporative DBMS
(Oracle DB) is introduced.
Objectives: The student should obtain knowledge of:
Design and use of object-oriented and distributed databases.
Transaction processing.
Conceptual and semantic approaches of data modeling.
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre- requirements: Database systems (core course)
Assessment and Evaluation Project- 30%
Final Test- 70%
The course is successful completed with at least 65% of all scores.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Peneva J., Tuparov, G., Databases Part II, Regalia 6, Sofia, 2004 (in Bulgarian)
2. Elmasri, R., Navathe, S. Fundamentals of Database Systems, 6-th ed. Addison-Wesley,
2010
APPLIED STATISTIC
Semester: 7 semester
Type of Course: seminars and tutorials in computer lab
Hours per week: 2 hours lectures and 1 hour tutorials in computer lab /Fall Semester
ECTS credits: 5,0 credits
Lecturers: Assoc. Prof. Elena Karashtranova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is introduction in nonparametric statistic and possibility to
apply new IT in this area.
Objectives: The students should obtain knowledge of:
To apply the methods of nonparametric statistics in practice
To realize concrete applications with tools of IT.
Methods of teaching: seminars, tutorials, discussions, project based method.
Pre- requirements: Probability and Statistics, Information Technology
Assessment and Evaluation Project- 30%
Final Test- 70%
The course is successful completed with at least 65% of all scores.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: Basic Titles
1. Каращранова Е. Интерактивно обучение по вероятности и статистика, ЮЗУ,
2010
2. Калинов К.,Статистически методи в поведенческите и социалните науки, НБУ,
2010
3. П. Копанов, В. Нончева, С. Христова, Вероятности и статистика,
ръководство за решаване на задачи,Университетско издателство „Паисий
Хилендарски”, 2012, ISBN 978-954-423-796-7
4. G.Freiman,Exploratory data analysis,J., Isr.Math, 2002
Additional Titles:
1. http://www.teststat.hit.bg
2. Мадгерова Р., В. Кюрова, Статистика в туризма, ЮЗУ, 2009.
COMPUTER NETWORKS AND COMMUNICATIONS
Semester: 7 semester
Type of Course: seminars and tutorials in computer lab
Hours per week: 2 hours lectures and 1 hour tutorials in computer lab /Fall Semester
ECTS credits: 5,0 credits
Lecturers: Prof. Sinyagina
Department: Department of Computer Systems and Technology, Faculty of Mathematics
and Natural Sciences, South-West University “Neofit Rilski” – Blagoevgrad.
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course discuses the problems concerning design, building and
application of computer networks. The lectures begin with introduction to computer
networks, principles of building, historical development and their contemporary
classification. Open system interconnection model of ISO is presented. Teaching course
includes basic principles of building and functioning of Local Area Networks (LAN)
illustrated by practical technical solutions in LAN Ethernet. The lectures on the most popular
in the world computer network Internet present its basic characteristics, principles of
functioning and application. The laboratory work helps to better rationalization of lecture
material and contribute to formation of practical skills.
Course Aims: The aim of the course is to acquaint students with the basic principles,
standards and tendencies of development in the field of computer networks. This will help
them in future to professionally solve system tasks in the area of network communications.
Methods of teaching: Lectures (with slides, multimedia projector) and additional text
materials; laboratory work (based on instructions) with a tutorial for every laboratory theme.
Pre- requirements: Basic knowledge in informatics.
Assessment and Evaluation: written exam.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: Basic Titles
1. Христов В. Киров Н.,“Oснови на компютърните мрежи и интернет”, ЮЗУ
“Н.Рилски” –Благоевград, 2012
2. Христов В. и Стоилов А., „Ръководство за лабораторни упражнения по компютърни
мрежи”, ЮЗУ “Н.Рилски” –Благоевград, 2007
3. Боровска П., Компютърни системи. София, Сиела, 2010 г.
4. Боянов. К. и кол. Компютърни мрежи. Интернет, София, НБУ, 2003.
5. Илиев Г., Д. Атамян , Мрежи за данни и интернет комуникации. София, Нови
Знания, 2009 г.
6. Летников А.И., Наумов В. А. Разработка модели для анализа показателей качества
функционирования сигнализации по протоколу SIP, жур. Электросвязь No 7, 2007 г.,
сс. 44- 47.
7. Мерджанов П., Телекомуникационни мрежи: Част 1 : Нови Знания,2010 г.
8. Zwart B., S. Borst, and M. Mandjes, “Exact queueing asymptotics for multiple heavy-
tailed on-off flows,” in Proc. Conf. Computer Communications (IEEE Infocom), 2001, pp.
279–288.
INTERNET PROGRAMMING
Semester: 7 semester
Type of Course: Lectures and tutorials in computer lab.
Hours per week: 2 hours lectures and 1 hour tutorials in computer lab / Fall Semester.
ECTS credits: 5,0 credits
Lecturers: Assoc. Prof. Daniela Tuparova, PhD
Department: Department of Informatics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course description: The course is introduction in design and programming of
Internet/Intranet Web-based information systems. Combination of JavaScript, CSS and
MySQL/PHP/Apache technologies is considered in practical aspects.
Objectives: The student should obtain knowledge of:
Design and programming of Internet/Intranet Web-based information systems.
Practical aspects of JavaScript, CSS and MySQL/PHP/Apache technologies.
Methods of teaching: lectures, tutorials, discussions, project based method.
Pre - requirements: Database systems (core course), Web-design practicum.
Assessment and Evaluation Project- 30%
Final Test- 70%
The course is successful completed with at least 65% of all scores.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with the lecturer and the Student Service Office
References: 1. Castagnetto, J. et all, Professional PHP Programming, Wrox Press, 2000
2. Wilfred, A., et all., PHP Professional Projects, Premier Press, 2002
3. Welling, L., Thompson, L., PHP and MySQL Web Development, Sams Publishing,
2003
4. Kabir, M., Secure PHP Development: Building 50 Practical Application, Willey
Publishing, 2003
5. Allen, J., Homberger, Ch., Mastering PHP 4.1, Sybex, 2002
PROBLEM SOLVING PRACTICUM FOR SCHOOL COURSE IN
MATHEMATICS
Semester: 8 semester
Course Type: seminars
Hours per Week: 3 seminar hours / Summer Semester
ECTS Credits: 3,0 credits
Lecturers: Maya Stoyanova - PhD-student
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in Mathematics and Informatics B.C. Curriculum.
Course Description: The course includes: solving problems from corresponding topics of
the school curriculum in mathematics; analyzing and generalizing of the solution methods,
using students’ knowledge in methodology and the courses: School course in algebra and
analysis and School course in geometry.
Course Aims: Course is aiming to acquaint students with the nature of mathematical
problems in School course in mathematics. Moreover in the course are clarified the aims that
school be pursued, when mathematical problems are solved. The course helps students to
systematize and assimilate their knowledge in methodology and in this way they get
profound preparation for their future profession; the students develop problem solving skills
in School coure in mathematics, using knowledge of different age groups.
Methods of teaching: seminars, tutorials, assignments, projects, tests.
Pre-requirements: Some knowledge in Methodology of teaching mathematics and School
course in Mathematics 5 – 12 grade /specialized preparation 8 – 12 grade/, are necessary.
Assessment and Evaluation: It is realized by controlling the attendance of seminar exercise,
2 problem-solving tests and elaborates a project presentation. Problem-solving tests are
holding on as it follows: first – on modulus 1, 2 and 3; second – on modulus 4 and 5. Project
presentation is students’ elaboration on given topic from School course in mathematics –
without any reference to restrictions and with maximum comprehension.
Examination and assessment of students’ knowledge is formed of two problem-solving tests
(first – on modulus 1 and 3, second – on modulus 4 and 5) and defence of a project
presentation. Each problem-solving test is assessed with 20 points, and defense of project
presentation – with 15 points.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with lecturer and Student Service Office
References:
Basic Titles:
1. Kolarov, K., and al. Geometry problem book for 7 – 10 grade. Prosveta, Sofia, 1991.
2. Kolarov, K., and al. Algebra problem book for 7 – 10 grade. Prosveta, Sofia, 1990.
3. Lazarov, B., and al. Problems in mathematics /for university applicants/, Vol. 1 and
2, Trud Publishing House, Sofia, 1999.
4. Pascalev, G., Problem book in mathematics /Plane geometry/, Regalia, Sofia, 1999.
5. Pascalev, G., Problem book in mathematics /Solid geometry/, Archimedes, Sofia,
2000.
6. School text book in mathematics for 5 – 12 grade.
Additional Titles:
1. Kolarov, K., Hr. Lesov. Geometry problem book for 8 – 12 grade. Integral, Dobrich.
2. Valiov, V.V., and al. Problems in mathematics /Equations and inequalities/, Nauka,
Moscow, 1987.
3. Vasilevski, A.B. Problem solving training in mathematics, Visheisheia Shkola,
Minsk, 1988.
4. Poya, D. How to solve a problem. Narodna prosveta, Sofia, 1972.
5. Fridman, L.M., and al. How to learn to solve problems. Prosveshtenie, Moscow,
1989.
COMPARATIVE EDUCATION /INTEGRATIVE ASPECTS/
Semester: 8 semester
Course Type: lectures
Hours per Week: 3 lecture hours / Summer Semester
ECTS Credits: 3,0 credits
Lecturers: Department: Philosophy and Political Science, telephone: (073) 8889112
Course Status: Optional course in Mathematics and Informatics B.C. Curriculum.
Short Description: The course includes studying of the following basic topics: The
course includes studying of the following basic topics: It focuses on financing the higher
education, the quality of high school graduates and their selection, and the measures
which the government takes in order to restructure the higher education in conformity
with the qualitative changes in society, the economic, social and political challenges
which the country faces today.
Course Aims: Students should obtain knowledge about Comparative Education and
National Systems of Education.
Teaching Methods: lectures, homeworks and tests.
Requirements/Prerequisites: General Education
Assessment: written exam on topics from lectures.
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with lecturer and Student Service Department
References:
Basic Titles:
1. Борисов, О. , Право на Европейския съюз, „Аrgo Publishing”, С., 2005 350 с.
2. Вайденфелд, В. Европа от А до Я: Справочник по европейска интеграция,
„Институт за европейска политика”, С., 2002.
3. Динков, Д., България в европейската интеграция. Изд. Къща „96 плюс”, С., 2002
4. Бижков, Г., Н. Попов. Сравнително образование. ІІ изд. Университетско
издателство “Св. Кл. Охридски”, С., 1999
5. Бяла книга за българското образование и наука. МОНТ, С., 1992.
6. Образование в Република България. Години 2003-2006. Национален статистически
институт. София.
7. Попов, Н. Съвременната образователна система в България. Бюро за
педагогически услуги. София, 2004.
8. Попов, Н. Сравнение на структурите на системите на висше образование в 20
европейски страни. Стратегии на научната и образователната политика, 1996, кн.4,
80-87
9. Статистически годишници. Години 1991-2003,Национален статистически
институт, София.
10. UNESCO: 2003,2004,2005,2006. Statistical Yearbooks, Paris,2003-2006
11. The Encyclopedia of Comparative Education and National Systems of Education.
Pergamon Press, Oxford, 1988,p.52 (aspect)
Additional Titles:
1. Програмите на Европейския съюз. Опит и поуки, „Европейски център за обучение
Лактеа”, С.,2005
2. Шрьотер Х., Европа. Актуален справочник, „Рива”, 2002
3. http://www.minedu.government.bg
4. Information Network on Education in Europe (EURIDICE): http://www.euridice.org
5. International Bureau of Education (IBE): http://www.ibe.unesco.org
6. International Institute for Educational Planning: http://www.unesco.org/iiep
7. Organisation for Economic Cooperation and Development (OECD):
http://www.oecd.org/els/stats/edu
8. Statistical Office of the European Communities (EUROSTAT):
http://europa.eu.int/en/comm/eurostat
9. UNICEF: http://www.uniceff.org/statis
10. United Nations Secretariat: http://www.un.org/Depts/unsd/social
11. UNESCO: http://unesco.org/webworld/com
12. U.S. Department of Education: http://www.ed.gov
13. U.S. Department of Education,National Center for Educational Statistics:
http://www.nces.ed.gov
14.U.S.Network for Education Information: http://www.ed.gov/NLE/USNEI
15. World Bank: http://www.worldbank.org/data/countrydata
HISTORY OF MATHEMATICS
Semester: 8th semester
Type of Course: lectures
Hours per Week: 3 lecture hours / Summer Semester
ECTS Credits: 3,0 credits
Lecturers: Assoc. professor Kostadin Samardjiev, PhD
Department: Department of Mathematics, Faculty of Mathematics and Natural Sciences,
South-West University “Neofit Rilski” – Blagoevgrad,
tel. +35973588532, e-mail: [email protected]
Course Status: Optional course in the B.S. Curriculum of Mathematics and Informatics.
Course Description: It includes basic steps of the development of mathematical knowledge
until the end of 19th century.
Objectives: basic steps of the development of mathematical knowledge until the end of 19th
century are presented to students and they are given an idea how to use that knowledge in
their future work as teachers in mathematics.
Methods of teaching: lectures and consultations.
Pre-requirements: Knowledge from the School course in Mathematic
Assessment and Evaluation: written exam
Registration for the Course: by request at the end of the current semester
Registration for the Exam: coordinated with lecturer and Student Service Office
References:
Basic Titles:
1. Бомарский, Б., Очерки по истории математики, Минск, 1979
2. Ганчев, Ив. История на математиката, 1999
3. Строик, Д. Я. Краткий очерк по истории математики, М. 1988
Additional Titles:
1. Ван дер Ванден, Б. Л. Пробуждаща се наука, С., 1968
2. Денман, И. Я., История Арифметики, М., 1959