Selected Topics in Applied Mathematics(MATH 533)
Course Code | Course Name | Semester | Theory | Practice | Lab | Credit | ECTS |
---|---|---|---|---|---|---|---|
MATH 533 | Selected Topics in Applied Mathematics | 1 | 3 | 0 | 0 | 3 | 7 |
Prerequisites | |
Admission Requirements |
Language of Instruction | English |
Course Type | Elective |
Course Level | Masters Degree |
Course Instructor(s) | Ayşegül ULUS aulus@gsu.edu.tr (Email) |
Assistant | |
Objective |
Introducing the fundamental problems and their solution methods of applied mathematics |
Content | Sacling, ODE, Perturbation anlaysis, Calculus of variations, Sturm-Liouville problems, Integral equalities, Green functions, Equilibrium equalities, Integral transformations, Wave propagation |
Course Learning Outcomes |
(Learning outcomes will be done item by item.) ÖÇ 1: Understanding the applied mathematics problems, and seeking a solution for them |
Teaching and Learning Methods | |
References |
J. David Logan, Applied Mathematics, Wiley, 2006 Lawrence Sirovich, Introduction to Applied Mathematics, Springer, 1988 |
Theory Topics
Week | Weekly Contents |
---|---|
1 | Dimension analysis and scaling |
2 | Ordinary differential equations (summary) |
3 | Perturbation methods |
4 | Perturbation methods |
5 | Calculus of variations |
6 | Calculus of variations |
7 | Orthogonal expansions |
8 | Midterm exam |
9 | Sturm-Liouville problems |
10 | Integral equalities |
11 | Green functions, difference equations |
12 | Equilibrium equalities |
13 | Integral transformations |
14 | Wave propagation eigenfunction expansions wave equation |
Practice Topics
Week | Weekly Contents |
---|
Contribution to Overall Grade
Number | Contribution | |
---|---|---|
Contribution of in-term studies to overall grade | 2 | 40 |
Contribution of final exam to overall grade | 1 | 60 |
Toplam | 3 | 100 |
In-Term Studies
Number | Contribution | |
---|---|---|
Assignments | 1 | 10 |
Presentation | 0 | 0 |
Midterm Examinations (including preparation) | 1 | 30 |
Project | 0 | 0 |
Laboratory | 0 | 0 |
Other Applications | 0 | 0 |
Quiz | 0 | 0 |
Term Paper/ Project | 0 | 0 |
Portfolio Study | 0 | 0 |
Reports | 0 | 0 |
Learning Diary | 0 | 0 |
Thesis/ Project | 0 | 0 |
Seminar | 0 | 0 |
Other | 0 | 0 |
Toplam | 2 | 40 |
No | Program Learning Outcomes | Contribution | ||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1 | X | |||||
2 | X | |||||
3 | X | |||||
4 | X | |||||
5 | X | |||||
6 | X | |||||
7 | X | |||||
8 | X | |||||
9 | X | |||||
10 | X | |||||
11 | X | |||||
12 | X | |||||
13 | X | |||||
14 | X | |||||
15 | X | |||||
16 | X | |||||
17 | X |
Activities | Number | Period | Total Workload |
---|---|---|---|
Class Hours | 14 | 3 | 42 |
Working Hours out of Class | 1 | 75 | 75 |
Final Examinations (including preparation) | 1 | 58 | 58 |
Total Workload | 175 | ||
Total Workload / 25 | 7,00 | ||
Credits ECTS | 7 |