Information Package / Course Catalogue
Mathematical Methods in Physics
Course Code: FZK506
Course Type: Required
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: 
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

To teach the fundamental principles of mathematical methods in physics.

Course Content

Vectors and vector fields. Coordinate transformations. Eigenvalues and eigenvectors. Diagonalization. Operators. Complex Analysis. Ordinary differential equations. Special functions in physics.

Name of Lecturer(s)
Lec. Cenk AKYÜZ
Learning Outcomes
1.To be able to express the physical problems by using vectors.
2.To be able to solve the ordinary differntial equations in physical problems by analytical or numerical techniques.
3.To be able to use complex functions.
4.To be able to express the tasks of special functions in physics.
5.To be able to coordinate transforms.
Recommended or Required Reading
1.Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.
2.Mathematical Physics. S. Hassani.
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
Vector analysis
Week 1 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.1-68).
Week 2 - Theoretical
Potential theory
Week 2 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.68-103).
Week 3 - Theoretical
Generalized curvilinear coordinates
Week 3 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.103-165).
Week 4 - Theoretical
Matrices, determinants, and eigenvalue problems
Week 4 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.161-239).
Week 5 - Theoretical
Linear vector spaces
Week 5 - Preparation Work
Mathematics of Classical and Quantum Physics. F.W. Byron, R.W.Fuller.(p.142-192).Mathematics for Physicists. P.Dennery, A. Krzywicki.(p.103-119).
Week 6 - Theoretical
Linear operators
Week 6 - Preparation Work
Mathematical Physics. S. Hassani. (p.49-76).
Week 7 - Theoretical
Functional spaces
Week 7 - Preparation Work
Mathematics of Classical and Quantum Physics. F.W. Byron, R.W.Fuller.(p.212-295).
Week 8 - Intermediate Exam
Review (Midterm Exam)
Week 9 - Theoretical
Complex analysis
Week 9 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.403-453).
Week 10 - Theoretical
Complex series and residues
Week 10 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.455-497).
Week 11 - Theoretical
Ordinary differential equations
Week 11 - Preparation Work
Mathematical Methods for Physicists. G.B.Arfken, H.J.Weber, F.Harris.(p.535-618).
Week 12 - Theoretical
Legendre polynomials
Week 12 - Preparation Work
Special Functions and their applications. N.N.Lebedev. (p.44-60).
Week 13 - Theoretical
Hermite polynomials
Week 13 - Preparation Work
Special Functions and their applications. N.N.Lebedev. (p.60-76).
Week 14 - Theoretical
Bessel functions
Week 14 - Preparation Work
Special Functions and their applications. N.N.Lebedev. (p.99-111).
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%20
Final Examination1%30
Quiz2%8
Attending Lectures14%28
Assignment14%14
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory14103182
Midterm Examination1538
Final Examination17310
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
4
5
4
4
2
4
2
2
OÇ-2
5
5
4
3
2
4
5
4
OÇ-3
5
4
5
3
2
4
3
2
OÇ-4
5
5
5
3
2
4
3
2
OÇ-5
4
5
4
3
2
4
4
3
Adnan Menderes University - Information Package / Course Catalogue
2026