Engineering Mathematics I
Mathematics
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Engineering Mathematics I | FBE515 | Elective | Master's degree | 1 | Fall | 10 |
Name of Lecturer(s)
Prof. Dr. Ali DEMİR
Prof. Dr. Vildan GÜLKAÇ
Learning Outcomes of the Course Unit
1) Gain necessary background in engineering mathematics for further studies
2) Get the basic knowledge about systems of differential equations.
3) Get the basic knowledge about the stability of systems.
4) Get the basic knowledge about Laplace transformations.
5) Get the basic knowledge about partial differential equations.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
No recommended course
Course Contents
Linear algebra, systems of differential equations, stability, Laplace transforms, Fourier series, Fourier transforms, partial differential equations.
Weekly Schedule
1) Linear algebra2) Linear algebra
3) Differential equation systems
4) Differential equation systems
5) Differential equation systems
6) Stability
7) Stability
8) Midterm examination/Assessment
9) Laplace transformations
10) Laplace transformations
11) Fourier series and Fourier transformations
12) .Fourier series and Fourier transformations
13) Partial differential equations
14) Partial differential equations
15) Partial differential equations
16) Final examination
Recommended or Required Reading
1- ADVANCED ENGINEERING MATHEMATICS ERWIN KREYSZIG Professor of Mathematics Ohio State University Columbus, Ohio In collaboration with HERBERT KREYSZIG New York, New York EDWARD J. NORMINTON Associate Professor of Mathematics Carleton University Ottawa, Ontario JOHN WILEY & SONS, INC.
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Group Study
4) Problem Solving
Assessment Methods and Criteria
Contribution of Presentation/Seminar to Course Grade |
30% |
|---|---|
Contribution of Final Examination to Course Grade |
70% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required