Course Name Code Semester T+U Hours Credit ECTS
Advanced Mathematical Methods In Physics FIZ 503 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level yuksek_lisans
Course Type Compulsory
Course Coordinator Prof.Dr. LEYLA ÖZDEMİR
Course Lecturers Prof.Dr. LEYLA ÖZDEMİR,
Course Assistants
Course Category
Course Objective To gain the ability in order to understand and solve mathematical models related with physics problems
Course Content Vectors, Differential Vector Calculus, Lineer Vector Spaces, Matrix Algebra, Eigenvalue Equations, Orthogonal Polynomials, Differential Equations, Partial Differential Equations
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Explains the importance of similarity transformations. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
2 Introduces the relation between the Legendre differential equation and physical systems. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
3 Expresses Gauss and Stokes Theorem and solves problems by using these theorems. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
4 Defines special functions and determines their relation with physical systems. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
5 Solves differential equations defining physical systems. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
6 Expresses the properties of the matrices by giving different examples. Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Vectors, Kronecker Delta, Levi-Civita Symbol [1] pp 19-40
2 Differential Vector Calculus, Gradient, Divergence, Curl, Laplacian, Curvilinear Coordinates [1] pp 41-75
3 Surface Integral, Volume Integral, Gauss´ Theorem, Stokes´ Theorem [1] pp 77-109
4 Linear Vector Spaces, Linear Operators [1] pp 233-256
5 Matrices, Determinant, Similarity Transformations [1] pp 257-281
6 Eigenvalue, Eigenvector, Diagonalization [1] pp 282-300
7 Gamma Function, Beta Function, Dirac-Delta Function, Orthogonal Polynomials [1] pp 301-311
8 Legendre Polynomials, Generating Function, Associated Legendre Polynomials [1] pp 334-354
9 Midterm Exam
10 Spherical Harmonics, Hermite Polynomials [1] pp 356-371
11 Laguerre Polynomials, Associated Laguerre Polynpmials [1] pp 372-383
12 Differential Equations, Power Series Method [1] pp 445-461
13 Frobenius´ Method, Bessel Differential Equations, Bessel Functions [1] pp 462-464, pp 312-332
14 Partial Differential Equations, Laplace Equation, Wave Equation [2] pp 255-282
Resources
Course Notes [1] Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011<br>[2] Karaoğlu B., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2007
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Using the knowledge of undergraduate and graduate education in postgraduate level. X
2 To be able to improve themselves by following the innovations in the field of Physics which are important in the development of science and technology. X
3 To be able to make literature search, presentation, experimental setup preparation, application and explication of results. X
4 To be able to join interdisciplinary and multidisciplinary team works.
5 Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study.
6 Having the scientific and vocational wafer and defending this apprehension in every medium.
Evaluation System
Semester Studies Contribution Rate
1. Ödev 20
1. Ara Sınav 60
1. Kısa Sınav 10
2. Kısa Sınav 10
Total 100
1. Yıl İçinin Başarıya 50
1. Final 50
Total 100
ECTS - Workload Activity Quantity Time (Hours) Total Workload (Hours)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 15 15
Quiz 2 5 10
Assignment 1 10 10
Final examination 1 20 20
Total Workload 151
Total Workload / 25 (Hours) 6.04
dersAKTSKredisi 6