Master Program in Mathematics

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
Print the course contents
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
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