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 [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
Kaynaklar
Ders Notu [1] Öztürk E., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2011<br>[2] Karaoğlu B., Fizik ve Mühendislikte Matematik Yöntemler, Seçkin Yayıncılık, 2007
Ders Kaynakları
Sıra Program Çıktıları Katkı Düzeyi
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.
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