Engineering Mathematics
Mechatronics Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Engineering Mathematics | MKT201 | Compulsory | Bachelor's degree | 2 | Fall | 4 |
Name of Lecturer(s)
Assistant Prof. Dr. Öznur KÜÇÜKSARI
Assistant Prof. Dr. Serkan ZEREN
Learning Outcomes of the Course Unit
1) Use vector and concept of vector field to describe various physical phenomena.
2) Solve partial differential equations.
3) Apply Fourier analysis to engineerng problems.
4) Use partial differential equations in mechatronic systems.
5) Perceive the physical meaning of the vector differential operators.
6) Formulate several engineering problems as optimization problems.
7) Solve unconstrained optimization problems.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | ||
| Learning Outcomes | ||||||||||||
| 1 | No relation | Low | Low | No relation | Low | Low | Low | Low | No relation | Low | Low | |
| 2 | High | Low | Middle | No relation | No relation | Low | Low | Low | No relation | Low | Low | |
| 3 | High | High | High | No relation | Middle | Middle | Middle | Low | Low | Middle | Middle | |
| 4 | Middle | Middle | Low | No relation | Low | Low | Low | No relation | No relation | Middle | Low | |
| 5 | High | Middle | Middle | Low | Low | Low | No relation | Low | No relation | Low | Low | |
| 6 | High | Low | Middle | Middle | Low | No relation | Middle | Middle | No relation | Low | Low | |
| 7 | High | Middle | Middle | Middle | Low | Low | Middle | Middle | No relation | Low | Low | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Yok
Course Contents
This course covers vector differential analysis, vector fields, vector differential operators gradient, divergence and curl concept and their physical meaning , line and surface integrals, their transformation performed by integral theorem, Fourier series and integrals, Fourier transforms, partial differential equations , consequently, initial and boundary value problems, complex numbers and integration of analytic functions in the complex plane, Cauchy's integral theorem, the basic concept of optimization and linear programming, the fundamentals of probability and mathematical statistics.
Weekly Schedule
1) Scalar and vector functions. Vector Fields. Derivatives of vector functions. Gradient of the scalar field. Divergence and curl of a vector field. Laplacian.2) Integrals of vector functions. Line and surface integrals
3) Integral theorems (Gauss, Green, Stokes)
4) Fourier series and integrals. Fourier transformation
5) Partial differential equations: Basic concepts
6) Partial differential equations: Applications in Engineering
7) Initial and boundary value problems
8) Midterm examination/Assessment
9) Complex numbers and functions. Integration of complex functions. Cauchy's integral theorem
10) Introduction to Optimization
11) Unconstrained optimization and linear programming
12) Simplex method
13) Graphical and combinatorial optimization. The shortest path problem
14) Probability theory and distributions
15) Mathematical statistical. Fundamental concepts and purpose of the statistics.
16) Final examination
Recommended or Required Reading
1- Advanced Engineering Mathematics, 10th ed., Erwin Kreyszig, Wiley
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Self Study
4) Problem Solving
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
50% |
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|---|---|---|---|---|---|---|---|---|---|---|---|---|
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Contribution of Final Examination to Course Grade |
50% |
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Total | 100% | |||||||||||
Language of Instruction
English
Work Placement(s)
Not Required