Information Package / Course Catalogue
Advanced Topics in Mathematical Physics
Course Code: FZK603
Course Type: Required
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To get information about the advanced subjects of mathematical physics.

Course Content

Using matrices in physics. Fundamental tensor analysis. Some special PDE in physics. Variational calculus. Chaos. Green’s functions.

Name of Lecturer(s)
Lec. Cenk AKYÜZ
Learning Outcomes
1.Students can express the physical problems by using tensors.
2.Partial differntial equations in physical problems can be solved by analytical or numerical techniques.
3.Fourier and Laplace transformations can be conceived.
4.Green’s functions should be used in problems of physics.
5.Be able to express the matrix formulation of physical problems.
6.Fundamentals concepts of group theory are realized.
Recommended or Required Reading
1.Mathematical Methods for Physicists. G.B. Arfken, H.J. Weber, F. Harris
3.Special functions and their applications. N. N. Lebedev
4.Mathematics of classical and quantum physics. F. W. Byron, R. W. Fuller.
5.Mathematics for Physicists. P. Dennery, A. Krzywicki.
Weekly Detailed Course Contents
Week 1 - Theoretical
Matrices and determinants
Week 2 - Theoretical
Matrices in classical and quantum mechanics
Week 3 - Theoretical
Tensor analysis
Week 4 - Theoretical
Covariant formulation of electrodynamics
Week 5 - Theoretical
Partial differential equations-PDE
Week 6 - Theoretical
The wave equation
Week 7 - Theoretical
The Scrödinger equation
Week 8 - Theoretical
The heat equation (Midterm Exam)
Week 9 - Theoretical
Integral transformations
Week 10 - Theoretical
Calculus of variations-I
Week 11 - Theoretical
Calculus of variations-II
Week 12 - Theoretical
Nonlinear dynamics and chaos
Week 13 - Theoretical
Probability theory
Week 14 - Theoretical
Introduction to group theory
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%50
Quiz2%10
Assignment4%10
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment414680
Quiz2206
Midterm Examination132335
Final Examination133437
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
OÇ-1
5
5
5
2
2
4
3
3
OÇ-2
5
5
5
2
2
4
5
3
OÇ-3
5
4
5
3
3
3
3
3
OÇ-4
5
5
5
4
3
4
3
3
OÇ-5
5
4
5
3
2
4
5
3
OÇ-6
5
4
5
3
2
5
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026