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ECTS COURSE INFORMATION FORM
Faculty Faculty of Engineering B.Sc. in Civil Engineering N/A
B.Sc. in Computer Engineering Elective B.Sc. in Electrical-Electronics Engineering Required B.Sc. in Industrial Engineering Elective B.Sc. in Mechanical Engineering N/A
Course Code MATH 226 Course Title in English Numerical Methods for EE Course Title in Turkish Elektrik-Elektronik Mühendisleri için Sayısal Yöntemler Language of Instruction English Type of Course Flipped Classroom/Recitation
Level of Course Undergraduate Course Category (by % of Content)
Basic Science Basic Engineering Engineering Design General Education 100 - - -
Semester Offered Fall Contact Hours per Week Lecture: 3 hours Recitation:- Lab: 1 hour Other:- Estimated Student Workload
153 hours per semester.
Number of Credits 6 ECTS Grading Mode Standard Letter Grade Pre-requisites COMP 109, MATH 116, MATH 211
Expected Prior Knowledge
Prior knowledge in linear algebra, differential and integral calculus and differential equations is expected.
Co-requisites None
Registration Restrictions Only Undergraduate Students Overall Educational Objective
To learn the numerical methods necessary for efficient solution of engineering problems.
Course Description This course provides a comprehensive understanding of numerical methods necessary for solving engineering problems. The following topics are covered: Study of errors associated with a numerical solution; Numerical solutions for systems of linear and nonlinear equations, linear least squares method, optimization problems, interpolation, numerical integration and differentiation; Implementation of numerical algorithms using a computer programming language.
Course Description in Turkish
Bu ders mühendislik problemlerinin çözümüm için gerekli sayısal yöntemlerin tam olarak anlaşılmasını sağlamaktadır. Aşağıdaki konular kapsanacaktır: Sayısal çözümlerden kaynaklanan hataların irdelenmesi; Doğrusal ve doğrusal olmayan denklem sistemleri, doğrusal en küçük kareler yöntemi, eniyileme problemleri, aradeğer bulma, sayısal türev ve integral için sayısal çözümler; Sayısal algoritmaların bir programlama dilinde yazılması.
Course Learning Outcomes and Competences
Upon successful completion of the course, the learner is expected to: 1. know computer arithmetic and identify sources of errors; 2. comprehend the mathematical concepts underlying several numerical methods; 3. apply numerical solution algorithms to several classes of problems (e.g., linear and non-
linear equations, optimization, interpolation, etc.); 4. use numerical methods in various types of engineering problems; 5. implement a range of numerical algorithms efficiently using a computer programming
language.
Relationship of the Course with the Student Outcomes Level Learning Outcome(s) Assessed by
Student Outcomes N=None
S=Supportive H=High
Exam, Project, HW, Experiment, Presentation,
etc. (1) an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
H 1, 2, 3, 4
Exams, Quizzes, Projects
(2) an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
S 5 Projects
(3) an ability to communicate effectively with a range of audiences
(4) an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
(5) an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
(6) an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
(7) an ability to acquire and apply new knowledge as needed, using appropriate learning strategies
Prepared by and Date Asst. Prof. Dr. Ebru Arısoy-Saraçlar / June 2019 Semester Fall 2019-2020 Name of Instructor Asst. Prof. Dr. Ebru Arısoy-Saraçlar Course Contents Week Topic 1. Computer Arithmetic 2. Computer Arithmetic 3. Systems of Linear Equations 4. Systems of Linear Equations 5. Linear Least Squares 6. Linear Least Squares 7. Nonlinear Equations 8. Nonlinear Equations 9. Optimization 10. Optimization 11. Interpolation
12. Interpolation
13. Numerical Integration and Differentiation
14. Numerical Integration and Differentiation
15. Final Exam/Project/Presentation Period 16. Final Exam/Project/Presentation Period Required/Recommended Readings
Text Book: Scientific Computing: An Introductory Survey, 2nd ed., by Michael T. Heath, McGraw Hill. References: Books on Numerical Analysis Numerical Methods for Engineers, S. C. Chapra and R.P. Canale Books on C: Deitel & Deitel, C How to Program, Prentice Hall
Teaching Methods Lectures/contact hours using “flipped classroom” as an active learning technique Homework and Projects Homework questions will be assigned to the students and there will be quizzes containing
questions from the homework assignments. There will be also pop quizzes related to lecture content.
Laboratory Work Laboratory session will be used for project demonstrations. Computer Use Students will use a programming language (C / C++ / Java) in their projects.
The projects will also be written in this programming language.
Other Activities - Assessment Methods Types of assessment Number Ratio (%)
Midterm Exams 2 70 Projects 3 18 Quizzes 5-10 12 Total 100 Late Policy: Late projects will NOT be accepted!
Course Administration Instructor’s office and phone number: 5th Floor, (0212) 3953677 office hours: TBA email address: [email protected] Rules for attendance: - Missing a quiz: No make-up will be given. Missing a midterm: Provided that proper documents of excuse are presented, a make-up exam will be given for each missed midterm. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Academic Dishonesty and Plagiarism: YÖK Regulations
ECTS Student Workload Estimation
Activity No/Weeks Calculation Explanation
No/Weeks per Semester (A)
Preparing for the Activity (B)
Spent in the Activity Itself (C)
Completing the Activity
Requirements (D)
Lecture/Flipped Classroom 14 2 3 70 A*(B+C+D)
Quizzes 8 2 0.5 20 A*(B+C+D)
Midterm(s) 2 13.5 1.5 30 A*(B+C+D)
Projects 3 5 5 1 33 A*(B+C+D)
Total Workload 153
Total Workload/25 6.12
ECTS 6
Hours