Course Name Code Semester T+U Hours Credit ECTS
Advanced Mathematical In Physics II FIZ 603 0 3 + 0 3 6
Precondition Courses
Recommended Optional Courses
Course Language Turkish
Course Level Doctorate Degree
Course Type Optional
Course Coordinator Dr.Öğr.Üyesi NAGİHAN DELİBAŞ
Course Lecturers
Course Assistants
Course Category Field Proper Education
Course Objective To gain the ability solving problems related with complex analysis and to inform students about some special topics such as group theory and chaos
Course Content Complex Numbers, Residue Theorem, Integral Theorem, Variational Principle, Tensor Analysis, Fundamental Concepts in Group Theory, Chaos
# Course Learning Outcomes Teaching Methods Assessment Methods
1 Defines Riemann surfaces for a given function Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
2 Expresses the Residue theorem and solves integrals by using this theorem Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
3 Solves differential equations by using the technique of Fourier transform Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
4 Expresses the properties of multivalent functions Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
5 Writes Euler-Lagrange equations and solves physics problems by using these equations Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
6 Defines the concept of group by giving examples Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, Testing, Homework,
Week Course Topics Preliminary Preparation
1 Complex Numbers, Cauchy-Riemann Equations [1] pp 111-141
2 Complex Functions, Critical Points, Complex Integration [1] pp 141-163
3 Cauchy´s Integral Formula [1] pp 163-188
4 Residue Theorem [1] pp 191-214
5 Multivalent Functions, Riemann Surfaces [1] pp 215-232
6 Periodic Functions, Fourier Series [1] pp 385-406
7 Fourier Transforms [1] pp 407-428
8 Laplace Transforms [1] pp 429-444
9 Midterm Exam
10 Calculus of Variations, Euler-Lagrange Equations [2] pp 355-375
11 Applications of Variational Calculus [2] pp 375-386
12 Tensor Analysis [2] pp 146-175
13 Introduction to Group Theory [3] pp 241-261
14 Nonlinear Methods and Chaos [3] pp 1079-1107
Resources
Course Notes [1] Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011<br>[2] Önem C., Mühendislik ve Fizikte Matematik Metodlar, Birsen Yayınevi, 1998<br>[3] Arfken G.B., Weber H.J., Mathematical Methods for Physicists, Elsevier Academic, 2005
Course Resources
Order Program Outcomes Level of Contribution
1 2 3 4 5
1 Using the knowledge of graduate and postgraduate education in postgraduate level. X
2 To be able to make literature search, presentation, experimental setup preparation, application and explication of results. X
3 To be able to join interdisciplinary and multidisciplinary team works. X
4 Sharing their concepts in seminar, symposium, conference etc. by using the skills of self-study.
5 To be able to prepare a scientific publication with the knowledges obtained from graduate and postgraduate studies.
6 Design and apply theoretical, experimental and model-based research; the ability to analyze and resolve complex problems that arise during this
Evaluation System
Semester Studies Contribution Rate
1. Ara Sınav 50
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 30
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