| Academic Unit: |
Computational Science and Engineering |
| Mode of Delivery: |
Face to face |
| Prerequisites: |
None |
| Language of Instruction: |
English |
| Level of Course Unit: |
Doctorate |
| Course Coordinator: |
Ayşe Hümeyra BİLGE |
| Course Lecturer(s): |
Ayşe Hümeyra BİLGE |
| Course Objectives: |
To provide advanced mathematical tools necessary for research in engineering and computational science |
| Course Contents: |
Basic notions of limits, continuity, differentiation,
Vector spaces, inner product spaces. Linear transformations, canonical forms, multilinear algebra,
Orthonormal sets in inner product spaces. Approximations in terms of orthogonal functions.
Fourier series, Fourier transform, Discrete Fourier transform, Fast Fourier transform, other integral transforms,
Ordinary Differential Equations, existence uniqueness, qualitative solutions, boundary value problems, numerical applications with Matlab
Series solutions of ODE'S (Bessel’s functions)
PDE’S, classification, Laplace eqn., Wave eqn, Heat eqn, solution by separation of variables |
| Learning Outcomes of the Course Unit (LO): |
|
| Planned Learning Activities and Teaching Methods: |
Learning activities consist of lectures, homework, written exams and preparation of projects related to their research proposals. |
At Kadir Has University, a Semester is 14 weeks; The weeks 15 and 16 are reserved for final exams.
THE RELATIONSHIP BETWEEN COURSE LEARNING OUTCOMES (LO) AND PROGRAM QUALIFICATIONS (PQ)
| # |
PQ1 |
PQ2 |
PQ3 |
PQ4 |
PQ5 |
PQ6 |
PQ7 |
PQ8 |
PQ9 |
PQ10 |
Contribution: 1 Low, 2 Average, 3 High
