Engineering Mathematics
Electro Optic System
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Engineering Mathematics | EOS613 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Ersin KAYAHAN
Associate Prof. Dr. Erhan AKMAN
Associate Prof. Dr. Belgin GENÇ ÖZTOPRAK
Assistant Prof. Dr. İsmet TIKIZ
Learning Outcomes of the Course Unit
1) Define the concepts and physical meanings of vector differential analysis, vector fields, gradient, divergence and curl.
2) Explain the subjects of integrals of vector functions, curvilinear and surface integrals, integral theorems performing their transformations, Fourier series and integrals.
3) Do Fourier transforms.
4) Resolves partial differential equations.
5) Explain complex numbers and analytic functions, complex plane integral, Cauchy integral theorem, basic optimization concepts and linear programming, probability calculus and mathematical statistics.
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | ||
| Learning Outcomes | |||||||||||||
| 1 | No relation | High | High | High | High | High | Middle | Middle | Middle | Middle | Middle | Middle | |
| 2 | Middle | Middle | Middle | Middle | Middle | High | High | High | Middle | High | Middle | High | |
| 3 | Middle | High | High | Middle | High | High | High | High | High | Middle | Middle | Middle | |
| 4 | Middle | High | High | High | High | Low | High | High | High | High | No relation | High | |
| 5 | Middle | Middle | Middle | Middle | Middle | Middle | High | High | High | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Photonics, Optical Materials, Optical Design, Electro-Optical Materials and Systems, Geometric Optics, Waveguide Optics, Sensors and Applications, Advanced Robotics and Automation Systems, Image Processing, Electromagnetic Wave Propagation and Scattering, Satellite Communication Systems, Nano-Biophotonic, Advanced Laser Applications, Electro-Optical Systems Laboratory
Course Contents
This course covers vector differential analysis, vector fields, gradient, divergence and rotational concepts and their physical meanings, integral of vector functions, curvilinear and surface integrals, integral theorems performing their transformations, Fourier series and integrals, Fourier transforms, partial differential equations frequently encountered in engineering discipline, the solution of initial and boundary value problems, complex numbers and analytic functions, complex plane integral, Cauchy integral theorem, basic optimization concepts and linear programming, probability calculus and mathematical statistics.
Weekly Schedule
1) Vector differential analysis2) The concepts and physical meanings of vector fields, gradient, divergence and rotational
3) Integral of vector functions
4) Curvilinear and surface integrals, integral theorems performing their transformations
5) Fourier series and integrals, Fourier transforms
6) Partial differential equations frequently encountered in engineering discipline
7) Solution of initial and boundary value problems
8) Midterm
9) Solution of initial and boundary value problems
10) Complex numbers and analytical functions
11) Integral in the complex plane
12) Cauchy integral theorem
13) Basic optimization concepts and linear programming
14) Probability calculation
15) Mathematical statistics
16) Final exam
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Question-Answer
3) Discussion
4) Drill and Practice
5) Group Study
6) Self Study
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
60% |
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Contribution of Final Examination to Course Grade |
40% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required