Ders Adı Kodu Yarıyıl T+U Saat Kredi AKTS
Advanced Mathematıcal Methods In Physıcs FIZ 503 0 3 + 0 3 6
 Ön Koşul Dersleri Önerilen Seçmeli Dersler Dersin Dili Türkçe Dersin Seviyesi YUKSEK_LISANS Dersin Türü Zorunlu Dersin Koordinatörü Prof.Dr. LEYLA ÖZDEMİR Dersi Verenler Prof.Dr. LEYLA ÖZDEMİR, Dersin Yardımcıları Dersin Kategorisi Diğer Dersin Amacı To gain the ability in order to understand and solve mathematical models related with physics problems Dersin İçeriği Vectors, Differential Vector Calculus, Lineer Vector Spaces, Matrix Algebra, Eigenvalue Equations, Orthogonal Polynomials, Differential Equations, Partial Differential Equations
# Ders Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri
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,
Hafta Ders Konuları Ön Hazırlık
1 Vectors, Kronecker Delta, Levi-Civita Symbol  pp 19-40
2 Differential Vector Calculus, Gradient, Divergence, Curl, Laplacian, Curvilinear Coordinates  pp 41-75
3 Surface Integral, Volume Integral, Gauss´ Theorem, Stokes´ Theorem  pp 77-109
4 Linear Vector Spaces, Linear Operators  pp 233-256
5 Matrices, Determinant, Similarity Transformations  pp 257-281
6 Eigenvalue, Eigenvector, Diagonalization  pp 282-300
7 Gamma Function, Beta Function, Dirac-Delta Function, Orthogonal Polynomials  pp 301-311
8 Legendre Polynomials, Generating Function, Associated Legendre Polynomials  pp 334-354
9 Midterm Exam
10 Spherical Harmonics, Hermite Polynomials  pp 356-371
11 Laguerre Polynomials, Associated Laguerre Polynpmials  pp 372-383
12 Differential Equations, Power Series Method  pp 445-461
13 Frobenius´ Method, Bessel Differential Equations, Bessel Functions  pp 462-464, pp 312-332
14 Partial Differential Equations, Laplace Equation, Wave Equation  pp 255-282
Kaynaklar
Ders Notu  Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011<br> Karaoğlu B., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2007
Ders Kaynakları
Sıra Program Çıktıları Katkı Düzeyi
1 2 3 4 5
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.
Değerlendirme Sistemi
Yarıyıl Çalışmaları Katkı Oranı
1. Ödev 20
1. Ara Sınav 60
1. Kısa Sınav 10
2. Kısa Sınav 10
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