COURSE UNIT TITLE

: MATHEMATICAL METHODS IN PHYSICS I

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
ELECTIVE

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR YUSUF YÜKSEL

Offered to

Physics

Course Objective

An intermediate-level, two-semester undergraduate course in mathematical physics provides an accessible account of most of the current, important mathematical tools required in physics these days. It is assumed that the reader has an adequate preparation in general physics and calculus.

Learning Outcomes of the Course Unit

1   Being able to use vector analysis and vector algebra and make differential and integral calculus with vector operators.
2   Comprehending the importance of coordinate transformations in physics, to be able to understand linear and orthogonal transformations, to be able to solve matrix diagonalization problems.
3   Recognizing curved coordinate systems and to be able to analyze them with scale parameters and being able to obtain and interpret vector operators in curved coordinate systems.
4   Being able to solve differential equations using power series and Frobenius methods comprehending series expansion method
5   Recognizing the general properties of determinants and matrices, to be able to make operations with them and to be able to solve eigenvalue-eigenvector problems.
6   Being able to comprehend Fourier series and coefficients, to understand their importance in physics and to analyze related problems.
7   Being able to make operations with complex numbers and to use different presentations, Being able to recognize complex functions and to discriminate analytical and harmonic functions, Being able to solve complex integrals using Cauchy theorem and integral formulas.
8   Being able to solve complex and real integrals using residual theorem

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Vector and Tensor Analysis
2 (Continue): Vector and Tensor Analysis
3 Ordinary Differential Equations
4 (Continue): Ordinary Differential Equations
5 Matrix Algebra
6 (Continue): Matrix Algebra
7 (Continue): Matrix Algebra Midterm Exam
8 Fourier Series and Integrals
9 (Continue):Fourier Series and Integrals
10 (Continue):Fourier Series and Integrals
11 Functions Of A Complex Variable
12 (Continue): Functions Of A Complex Variable
13 (Continue): Functions Of A Complex Variable
14 (Continue): Functions Of A Complex Variable

Recomended or Required Reading

Textbook(s):
Mathematical Methods for Physicists: A concise introduction, (Tai L. Chow Cambridge University Press 2000 )

Supplementary Book(s):
Mathematical Methods in Physical Sciences (Mary L. Boas)
Mathematical Physics (S.Hassani)
Mathematical Methods in Physics (S.D.Lindenbaum),
Introduction to Mathematical Physics (C.W.Wong).
Introduction to Ordinary Differential equations (S.L. Ross, fourth ed.)
Special Functions For Scientists and Engineers (W.W.Bell)
Special Functions (G.E Andrews,R Askey, and R. Roy)
Mathematical Methods for Physicists (G.B.Arfken, H.J.Weber, fourth ed.)

Planned Learning Activities and Teaching Methods

1. Lecturing
2. Cooperative Learning
3.Question-Answer
4.Discussing
5.Home Work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 ASG ASSIGNMENT
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + ASG * 0.30 + FIN * 0.40
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + ASG * 0.30 + RST * 0.40


*** Resit Exam is Not Administered in Institutions Where Resit is not Applicable.

Further Notes About Assessment Methods

None

Assessment Criteria

1. The homeworks will be assessed by directly adding to the mid-term scores.
2. Final examination will be evaluated by essay type examination technique

Language of Instruction

Turkish

Course Policies and Rules

1. It is obligated to continue to at least 70% of lessons.
2. Every trial to copying will be finalized with disciplinary proceedings.
3. The instructor has right to make practical quizzes. The scores obtained from quizzes will be directly added to exam scores.

Contact Details for the Lecturer(s)

resul.sevincek@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Tutorials 13 2 26
Preparations before/after weekly lectures 13 3 39
Preparing assignments 13 3 39
Preparation for midterm exam 1 12 12
Preparation for final exam 1 16 16
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 192

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.1445
LO.2445
LO.3444
LO.4434
LO.5434
LO.6434
LO.7434
LO.8434

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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