35002 - MATHEMATICS I (2019-20)

6,00

1,20

1,20

3,60

35002 - MATHEMATICS I (2019-20)

Code: 35002

Lecturer responsible:

TOMAS LUCAS, JOSEFA

Credits ECTS:

Theoretical credits:

Practical credits:

Distance-base hours:

Dept: FOUNDATIONS OF ECONOMIC ANALYSIS

Area: FOUNDATIONS OF ECONOMIC ANALYSIS

Theoretical credits: 1,2

Practical credits: 1,2

This Dept. is responsible for the course.

This Dept. is responsible for the final mark record.

DEGREE IN ECONOMICS

Course type: CORE (Year: 1)

Competencies and objectives

This is the first maths course in the degree and students take it in the first term in their first year. Hence, this is an introductory

course which deals with and formalizes more rigorously material which students may have already studied at high school. The

first three parts deal with analyzing function of one real variable (limits, continuity, derivatives, graphs and integration). The

last part deals with introductory concepts in linear algebra.

General

Departments involved

Study programmes where this course is taught

Course context for academic year 2019-20

MATHEMATICS I https://cvnet.cpd.ua.es/Guia-Docente/?wlengua=en&wcodasi=35002&sc...

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No data

Course content (verified by ANECA in official undergraduate and Master’sdegrees)

Exclusive skill taught in this course


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To use of mathematical language and its application in the representation and interpretation of economic models.

To develop the ability to use mathematical reasoning and apply it to real situations in the economic world. Ability to use computer

techniques for problem solving.

To develop the ability to access the economic information provided by mathematical models.

To develop the capacity for the analysis and resolution of problems, both individually and in groups.

Knowledge and use of Linear Algebra tools and theirinterpretation in economic terms.

Knowledge and use of one-variable calculus tools and their interpretation in economic terms.

To develop the ability to use the computer software necessary to solve problems.

Knowledge of concepts in single variable Calculus and Linear Algebra and their application to economic and business

contexts.

Learning outcomes (Training objectives)

Specific objectives stated by the academic staff for academic year 2019-20


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Content and bibliography

Analysis of univariate functions. Continuity. Univariate differential and integral calculus. Introduction to differential equations,

sequences and series. Linear algebra.

PART 1: FUNCTIONS OF ONE VARIABLE AND CONTINUITY

1. Basic concept: Domain, rank and graphs of a function

2. Elementary functions

3. Inverse function

4. Definition of a limit. Side limits, and limits to infinity

5. Properties of limits

6. Computation of limits

7. Continuity

8. Types of discontinuity

9. Properties of continuous functions

10. Mean value theorem, Bolzano and Weierstrass theorem

PART 2: DIFFERENTIATION

1. Definition of a derivative

2. Interpretation of a derivative

3. Differentiation rules

4. Relationship between differentiability and continuity

5. Differentials: linear approximation

6. Higher order derivative: quadratic approximation and implicit differentiation

7. Maxima and minima

8. Concavity and convexity

9. Graphical representation of the function y = f(x)

PART 3: INTEGRATION AND NUMERIC SERIES

1. Indefinite integrals and their properties

2. Integration methods

3. Introduction to differential equations

4. Definite integrals and Barrow rule

5. Applications of definite integrals

6. Improper integrals and convergence

7. Definition of a sequence and its limits

8. Definition of a series and convergence criteria

9. Geometric and harmonic series

PART 4: LINEAR ALGEBRA

1. Matrices and their operations

2. Determinant of a square matrix

3. Development with adjugate matrices

4. Properties of determinants

5. Inverse of a square matrix

6. System of linear equations

7. Linear dependence and rank

Content for academic year 2019-20


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8. Rouché-Frobenius theorem

9. Solution of systems of linear equations

REFERENCES

Sydsæter, K.; P. J. Hammond and A. Carvajal. 2012. Matemáticas para el Análisis Económico. Madrid Pearson Educación.

Larson, R. and B. H. Edwards. 2010. Cálculo 1. México: McGraw-Hill Interamericana.

Jarne Jarne, G.; I. Pérez-Grasa and E. Minguillón Constante. 1997. Matemáticas para la Economía: Álgebra Lineal y Cálculo

Diferencial. Madrid: McGraw-Hill.

No data

Related links


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Essential mathematics for economic analysis

Author(s): SYDSAETER, Knut; HAMMOND, Peter; STROM, Arne

Issue: - : Pearson Education Limited, 2012;

ISBN: 978-0-273-76068-9

Category: Básico

Cálculo de una variable : trascendentes tempranas

Author(s): STEWART, James

Issue: Mexico : Cengage Learning, 2008;

ISBN: 978-970-686-653-0

Category: Básico

Matematicas para el analisis económico

Author(s): SYDSAETER Knut; HAMMOND, Peter

Issue: Madrid : Prentice Hall, 2002;

ISBN: 0-13-240615-2

Category: Básico

Matemáticas para Administración y Economía

Author(s): Jean E. Weber (Jean E. Draper)

Issue: México, D. F.[etc.] : Oxford University Press, 1984;

ISBN: 968-6034-49-8

Category: Básico

Matemáticas para el análisis económico

Author(s): SYDSAETER, Knut; HAMMOND, Peter J.; CARVAJAL, Andrés

Issue: - : Pearson-Prentice Hall, 2 ed.;

Bibliography


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ISBN: 9788483223154

Category: Básico

Cálculo 1 de una variable

Author(s): LARSON, Ron ; EDWARDS, Bruce H.

Issue: México : McGraw-Hill, 2010;

ISBN: 978-607-15-0273-5

Category: Básico

Assessment

FINAL SCORE IN THE COURSE IN THE FIRST TERM (CONVOCATORIA ORDINARIA, C2)

The final score of the student will be the wheighted average score of the tests (20% and 30%) and the final exam (50%). To

pass the course students must get a final score greater than or equal to 5.

FINAL SCORE IN THE COURSE IN THE SECOND TERM (CONVOCATORIA EXTRAORDINARIA, C4)

The final score obtained by the student will be the one obtained in the corresponding C4 exam. To pass the course the

student must get a final score greater than or equal to 5.

Description Criteria Type Weighting

system

TEST Two tests will be held and their content is cumulative.

TEST 1. WEIGHT: 20%. APPROXIMATELY IN WEEK

6-7.

TEST 2. WEIGHT: 30%. APPROXIMATELY IN WEEK

11-12.

ACTIVITIES OF EVALUATION

DURING THE SEMESTER

50

WRITTEN

EXAM

50% of the grade can be obtained in the final exam.

All the course material is part of the final exam both in

the first term and in the re-take exam in the second

term.

FINAL TEST 50

Assessment procedures and criteria 2019-20


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Exam session Date Time Group - Classroom(s) allocated Comments

(C1) Pruebas extraordinarias

de finalización de estudios

08/10/2019

(C2) Periodo ordinario para

asignaturas de primer semestre

13/01/2020 09:00 - 12:00 A1/0-01G

A1/0-06X

A1/0-07X

A1/0-18X

A1/0-19X

A1/1-36X

A1/1-37X

A1/1-50X

A1/1-51X

(C4) Pruebas extraordinarias

para asignaturas de grado y

máster

17/06/2020

Academic staff

Official exam dates for academic year 2019-20

TOMAS LUCAS, JOSEFALecturer responsible

THEORY CLASS: Groups: 77

PROBLEM PRACTICALS / WORKSHOP: Groups: 77

COMPUTER PRACTICALS: Groups: 77

GUARDIOLA ALCALA, LUIS ANTONIO

THEORY CLASS: Groups: 2




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Groups

Group Semester

Morning or

afternoon

session Language

No. of

enrolled

students

Gr. 1 (THEORY CLASS ) : 1 1S Morning CAS 52

Gr. 2 (THEORY CLASS ) : 2 1S Afternoon CAS 51

Gr. 3 (THEORY CLASS ) : 3 1S Morning CAS 50

Gr. 77 (THEORY CLASS ) : 77 ENGLISH 1S Morning ANG 7

Group Semester

Morning or

afternoon

session Language

No. of

enrolled

students

Gr. 1 (PROBLEM PRACTICALS /

WORKSHOP ) : 1

1S Morning CAS 52


WORKSHOP ) : 2

1S Afternoon CAS 51

LARTEY -, ABRAHAM



MORALES BENAVENTE, JOSE LUIS

THEORY CLASS: Groups: 1 , 3

PROBLEM PRACTICALS / WORKSHOP: Groups: 1 , 3

COMPUTER PRACTICALS: Groups: 1 , 3

THEORY CLASS

PROBLEM PRACTICALS / WORKSHOP


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Group Semester

Morning or

afternoon

session Language

No. of

enrolled

students


WORKSHOP ) : 3

1S Morning CAS 50


WORKSHOP ) : 77 ENGLISH

1S Morning ANG 7

Group Semester

Morning or

afternoon

session Language

No. of

enrolled

students

Gr. 1 (COMPUTER PRACTICALS ) : 1 1S Morning CAS 52

Gr. 2 (COMPUTER PRACTICALS ) : 2 1S Afternoon CAS 51

Gr. 3 (COMPUTER PRACTICALS ) : 3 1S Morning CAS 50

Gr. 77 (COMPUTER PRACTICALS ) : 77

ENGLISH

1S Morning ANG 7

COMPUTER PRACTICALS


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Timetables

Group Start date End date Day Start time End time

Lecture

room

1 09/09/2019 20/12/2019 LUN 11:00 13:00 A2/C03

2 09/09/2019 20/12/2019 MAR 17:00 19:00 A2/C02

3 09/09/2019 20/12/2019 LUN 09:00 11:00 A2/A02

77 09/09/2019 20/12/2019 MAR 09:00 11:00 A2/S22


Lecture

room

1 09/09/2019 03/12/2019 MAR 09:00 11:00 A2/C03

2 09/09/2019 04/12/2019 MIE 15:30 17:30 A2/C02

3 09/09/2019 03/12/2019 MAR 11:00 13:00 A2/A02

77 09/09/2019 02/12/2019 LUN 11:00 13:00 A2/S22


Lecture

room

1 10/12/2019 20/12/2019 MAR 09:00 11:00 A2/C03

2 10/12/2019 20/12/2019 MIE 15:30 17:30 A2/C02

3 10/12/2019 20/12/2019 MAR 11:00 13:00 A2/A02

77 09/12/2019 20/12/2019 LUN 11:00 13:00 A2/S22

THEORY CLASS

PROBLEM PRACTICALS / WORKSHOP

COMPUTER PRACTICALS


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Documents

35002 - MATHEMATICS I (2019-20)