1. Eğitim Bilgi Sistemi
  2. Fizik Pr. (Dr)
  3. Advanced Mathematıcal In Physıcs II (2020 - 2021)
Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Advanced Mathematıcal In Physıcs II FIZ 603 0 3 + 0 3 6
Ön Koşul Dersleri
Önerilen Seçmeli Dersler
Dersin Dili Türkçe
Dersin Seviyesi Doktora
Dersin Türü Seçmeli
Dersin Koordinatörü Prof.Dr. LEYLA ÖZDEMİR
Dersi Verenler
Dersin Yardımcıları
Dersin Kategorisi Alanına Uygun Öğretim
Dersin Amacı To gain the ability solving problems related with complex analysis and to inform students about some special topics such as group theory and chaos
Dersin İçeriği Complex Numbers, Residue Theorem, Integral Theorem, Variational Principle, Tensor Analysis, Fundamental Concepts in Group Theory, Chaos
# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
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,
Hafta Ders Konuları Ön Hazırlık
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
Kaynaklar
Ders Notu [1] Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011
[2] Önem C., Mühendislik ve Fizikte Matematik Metodlar, Birsen Yayınevi, 1998
[3] Arfken G.B., Weber H.J., Mathematical Methods for Physicists, Elsevier Academic, 2005
Ders Kaynakları
Sıra Program Çıktıları Katkı Düzeyi
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
Değerlendirme Sistemi
Yarıyıl Çalışmaları Katkı Oranı
1. Ara Sınav 50
1. Kısa Sınav 10
2. Kısa Sınav 10
1. Ödev 30
Toplam 100
1. Yıl İçinin Başarıya 50
1. Final 50
Toplam 100
AKTS - İş Yükü Etkinlik Sayı Süre (Saat) Toplam İş Yükü (Saat)
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
Toplam İş Yükü 151
Toplam İş Yükü / 25 (Saat) 6,04
Dersin AKTS Kredisi 6