Basic Mathematics For Biomedical Sciences
Biomedical Engineering
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 |
|---|---|---|---|---|---|---|
| Basic Mathematics For Biomedical Sciences | BMM500 | Elective | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Prof. Dr. Ali DEMİR
Learning Outcomes of the Course Unit
1) Recognize ordinary 1st order differential euations (DE), systems of DE, and solution methods
2) Recognize linear DE and solution methods
3) Recognize method of variation of parameters and Green's function definitions
4) Recognize Laplace and Fourier (series and integral) transforms
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | ||
| Learning Outcomes | ||||||||||
| 1 | Middle | Middle | Middle | Middle | Middle | Middle | High | High | Middle | |
| 2 | Middle | Low | Middle | Middle | Middle | High | High | Middle | Low | |
| 3 | Middle | Middle | Middle | Middle | High | High | Middle | Middle | Middle | |
| 4 | Middle | Low | High | Middle | Middle | Middle | High | High | High | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Not Required
Course Contents
Ordinary differential equations (DE): 1st order DE (separable, homogeneous, exact, linear, Bernoulli, Riccati). Linear and constant-coefficient 2nd and higher order DE (homogeneous and non-homogeneous). Cauchy-Euler DE. Variation of parameters and Green's function. Systems of ordinary DE. Laplace transform. Series solutions of DE. Special functions: Bessel, Chebyshev, Legendre. Sturm–Liouville problems and eigenfunctions. Fourier series and Fourier integral transforms.
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 |
40% |
|---|---|
Contribution of Final Examination to Course Grade |
60% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required