Erciyes University - Info Package

Dersin Adı	Dersin Seviyesi	Dersin Kodu	Dersin Tipi	Dersin Dönemi	Yerel Kredi	AKTS Kredisi	Ders Bilgileri
MATHEMATICAL METHODS IN PHYSICS- I	İkinci Düzey	PHYS507		1	7.50	7.50	Yazdır

Dersin Tanımı

Ön Koşul Dersleri	None
Eğitimin Dili	English
Koordinatör	Assoc. Prof. Kevser ŞAHİN TIRAŞ
Dersi Veren Öğretim Eleman(lar)ı	Assoc. Prof. Kevser ŞAHİN TIRAŞ
Yardımcı Öğretim Eleman(lar)ı	-
Dersin Veriliş Şekli	Face to face.
Dersin Amacı	The aim of this course is to provide students with the fundamental mathematical tools and methods required for the formulation and solution of problems in physics. The course covers complex numbers and functions, vector analysis, matrices and determinants, ordinary and partial differential equations, Fourier series and transforms, special functions, and basic concepts of complex analysis. Students will develop the ability to apply appropriate mathematical methods to formulate, solve, and interpret physical problems and to establish the connection between mathematical models and physical phenomena.
Dersin Tanımı	This course introduces the fundamental mathematical methods and techniques used in physics. It covers complex numbers and functions, vector algebra and calculus, matrices and determinants, ordinary and partial differential equations, Fourier series and transforms, and selected special functions. Emphasis is placed on the application of these mathematical methods to physical problems, enabling students to develop the analytical skills necessary for the formulation, solution, and interpretation of mathematical models in physics.

Dersin İçeriği

1	Introduction to Mathematical Methods in Physics: Mathematical notation, functions, limits, continuity and basic mathematical concepts
2	Complex Numbers and Complex Functions: Complex numbers, polar representation, complex algebra and elementary complex functions
3	Vector Algebra: Vectors, vector operations, scalar and vector products, coordinate systems
4	Vector Calculus: Gradient, divergence, curl and their physical interpretations
5	Line, Surface and Volume Integrals: Multiple integrals, line and surface integrals and applications in physics
6	Matrices and Determinants: Matrix operations, determinants, inverse matrices and systems of linear equations
7	Eigenvalues and Eigenvectors: Eigenvalue problems, diagonalization and applications in physics
8	Midterm Examination
9	Ordinary Differential Equations: First-order differential equations and standard solution methods
10	Higher-Order Differential Equations: Linear differential equations, homogeneous and non-homogeneous equations and physical applications
11	Partial Differential Equations: Basic concepts, classification and separation of variables
12	Fourier Series: Fourier coefficients, trigonometric series and representation of periodic functions
13	Fourier Transforms and Special Functions: Fourier transforms and introduction to selected special functions used in physics
14	Final Examination
15
16
17
18
19
20

Dersin Öğrenme Çıktıları

1	Apply complex numbers, complex functions, and basic concepts of complex analysis to solve mathematical problems in physics.
2	Use vector algebra and vector calculus, including gradient, divergence, curl, and line and surface integrals, to formulate and analyze physical problems.
3	Solve first- and higher-order ordinary differential equations using appropriate analytical methods and interpret their solutions in physical contexts.
4	Formulate and solve basic partial differential equations commonly encountered in physics using appropriate mathematical techniques.
5	Apply Fourier series and Fourier transforms to represent and analyze periodic and non-periodic physical phenomena.
6	Use matrices, determinants, eigenvalues, eigenvectors, and selected special functions to formulate, solve, and interpret mathematical models in physics.
7
8
9
10

*Dersin Program Yeterliliklerine Katkı Seviyesi

1	mesleki rol ve işlevlerini yerine getirmek için gerekli kuramsal ve uygulama bilgilerine sahiptir.
2	Mesleki etik ilke ve değerlere uygun davranır
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
Yıldızların sayısı 1’den (en az) 5’e (en fazla) kadar katkı seviyesini ifade eder

Planlanan Öğretim Faaliyetleri, Öğretme Metodları ve AKTS İş Yükü

	Sayısı	Süresi (saat)	Sayı*Süre (saat)
Yüz yüze eğitim	14	3	42
Sınıf dışı ders çalışma süresi (ön çalışma, pekiştirme)	14	5	70
Ödevler	8	4	32
Sunum / Seminer hazırlama	0	0	0
Kısa sınavlar	0	0	0
Ara sınavlara hazırlık	1	16	16
Ara sınavlar	1	2	2
Proje (Yarıyıl ödevi)	0	0	0
Laboratuvar	0	0	0
Arazi çalışması	0	0	0
Yarıyıl sonu sınavına hazırlık	1	20	20
Yarıyıl sonu sınavı	1	2	2
Araştırma	0	0	0
Toplam iş yükü			184
AKTS			7.50

Değerlendirme yöntemleri ve kriterler

Yarıyıl içi değerlendirme	Sayısı	Katkı Yüzdesi
Ara sınav	1	40
Kısa sınav	0	0
Ödev	8	60
Yarıyıl içi toplam		100
Yarıyıl içi değerlendirmelerin başarıya katkı oranı		40
Yarıyıl sonu sınavının başarıya katkı oranı		60
Genel toplam		100

Önerilen Veya Zorunlu Okuma Materyalleri

Ders kitabı	Mathematical Methods for Physicsts (Arfken & Weber)
Yardımcı Kaynaklar

Ders İle İlgili Dosyalar