Analytical Methods In Engineering I
Civil Engineering
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 |
|---|---|---|---|---|---|---|
| Analytical Methods In Engineering I | INS613 | Compulsory | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Safa Bozkurt COŞKUN
Learning Outcomes of the Course Unit
1) Obtain series solutions for ordinary differential equations.
2) Represent a function via Fourier series.
3) Apply Laplace transform to differential equations.
4) Apply Fourier transform to differential equations.
5) Comprehend fundamental concepts about partial differential equations.
6) Analyze Laplace, Diffusion and Wave equations by using seperation of variables tehcnique in cartesian coordinates.
7) Analyze Laplace, Diffusion and Wave equations by using seperation of variables tehcnique in polar coordinates.
8) Analyze nonhomogeneous problems by using seperation of variables tehcnique.
9) Analyze multidimensional problems.
10) Analyze Sturm-Liouville eigenvalue problems.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
| Learning Outcomes | ||||||||||
| 1 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 8 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 9 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 10 | High | No relation | 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
Not Required
Course Contents
Solution of ordinary differential equations with constant coefficients, Laplace transform, Series solutions of ordinary differential equations, Bessel and Legendre equations, Fourier Series, Fourier Integral, Fourier Transform,Introduction to partial differential equations, Boundary conditions, Separation of variables technique, Laplace, Diffusion and Wave equations, Solutions in cartesian and polar coordinates, Solutions of non-homogeneous problems, Solutions of multidimensional problems, Sturm-Liouville problems.
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
50% |
|---|---|
Contribution of Final Examination to Course Grade |
50% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required