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	Zorunlu	1	7.50	7.50	Yazdır

Dersin Tanımı

Ön Koşul Dersleri	None
Eğitimin Dili	English
Koordinatör	DR. ÖĞR. ÜYESİ KEVSER ŞAHİN TIRAŞ
Dersi Veren Öğretim Eleman(lar)ı	DR. ÖĞR. ÜYESİ KEVSER ŞAHİN TIRAŞ
Yardımcı Öğretim Eleman(lar)ı	-
Dersin Veriliş Şekli	Face to face.
Dersin Amacı	To introdude the basic mathematical methods used in Phsics.
Dersin Tanımı	Determinants and Matrices, Vector Analysis, Vector Spaces, Eigenvalue Problems, Complex Variable Theory

Dersin İçeriği

1	MATHEMATICAL PRELIMINARIES: infinite series, series of functions, Binomial theoerm, mathematical induction, Operations of Series Expansions of Functions, Some Important Series
2	MATHEMATICAL PRELIMINARIES: Vectors, Complex Numbers and Functions, Derivatives and Extrema, Evaluation of Integrals, Dirac Delta Functions
3	DETERMINANTS AND MATRICES
4	VECTOR ANALYSIS: Review of Basics Properties, Vector in 3 ‐ D Spaces, Coordinate Transformations, Rotations in R3, Differential Vector Operators
5	VECTOR ANALYSIS: Vector Integrations, Integral Theorems, Potential Theory, Curvilinear Coordinates
6	VECTOR SPACES: Vector in Function Spaces, Gram ‐ Schmidt Orthogonalization, Operators, Self‐Adjoint Operators,
7	MİDTERM EXAM
8	VECTOR SPACES: Unitary Operators, Transformations of Operators, Invariants
9	EIGENVALUE PROBLEMS: Eigenvalue Equations, Matrix Eigenvalue Problems
10	EIGENVALUE PROBLEMS: Hermitian Eigenvalue Problems, Hermitian Matrix Diagonalization, Normal Matrices
11	COMPLEX VARIABLE THEORY: Complex Variables and Functions, Cauchy – Riemann Conditions, Cauchy’s Integral Theorem
12	COMPLEX VARIABLE THEORY: Cauchy’s Integral Formula, Laurent Expansion, Singularities
13	COMPLEX VARIABLE THEORY: Calculus of Residues, Evaluation of Definite Integrals
14	Problem Session
15	FİNAL EXAM
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Dersin Öğrenme Çıktıları

1	To learn vactor analysis
2	To learn determinants and matrices
3	To learn infinite series
4	To learn functions of a complex variable
5	To learn Cauchy’s integral theorem, calculus of residues
6	To learn the method of steepest descents
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*Dersin Program Yeterliliklerine Katkı Seviyesi

1	To develop and deepen current and advanced knowledge in the field at the level of expertise with original thought and research, based on master''s degree qualifications, and to reach original definitions that will bring innovation to science.
2	To understand the interaction between disciplines related to the field of physics; Achieving original results by using knowledge that requires expertise in analyzing, synthesizing and evaluating new and complex ideas
3	To be able to access new scientific information in the field of physics and to gain high-level skills in research methods related to the field.
4	To be able to develop a new scientific method in the field of physics or to apply a known method to a different problem.
5	Being able to research, comprehend, design, adapt and apply an original subject
6	Ability to question, synthesize and evaluate new and complex ideas
7	Publishing original studies in peer-reviewed journals
8	To be able to develop original ideas and methods related to the field and interdisciplinary by using high-level mental processes such as creative and questioning thinking, problem solving and decision making.
9	Ability to present original views effectively within a community of experts
10	Being able to communicate and discuss at an advanced level in written, oral and visual language in at least one foreign language.
11	To contribute to the process of becoming an information society by introducing technological advances in the academic and professional context
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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		70
Yarıyıl sonu sınavının başarıya katkı oranı		30
Genel toplam		100

Önerilen Veya Zorunlu Okuma Materyalleri

Ders kitabı	Mathematical Methods for Physicsts (Arfken & Weber)
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