COURSE UNIT TITLE

: MATHEMATICAL METHODS IN PHYSICS I

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
FIZ 2909 MATHEMATICAL METHODS IN PHYSICS I COMPULSORY 4 2 0 6

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSISTANT PROFESSOR HAKAN EPIK

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, to understand and to make differential and integral calculus with vector operators.
2   Gains practice in the use of mathematical methods in solving problems in physics.
3   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.
4   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.
5   Learns the solution methods of homogeneous and inhomogeneous differential equations and their application to problems in physics.
6   Learns linear operators, canonical forms and matrix functions in finite dimensional vector spaces.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to vector analysis and vector algebra
2 Vector and Tensor Analysis
3 Integral of vector functions
4 The Green's, Divergence Theorems
5 Stokes' Theorems
6 Ordinary Differential Equations - I
7 Ordinary Differential Equations - II
8 Problem solution
9 Linear vector spaces, basis vectors and components, scalar product
10 Orthonormal basis vectors, Gramm-Schmidt orthogonalization method
11 Applications with linear operators
12 Matrix algebra - I
13 Matrix algebra - II
14 An overview, problem solution

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 for Physicists (G.B.Arfken, H.J.Weber, fourth ed.)
Mathematical Methods in Physical Sciences (Mary L. Boas)
Mathematical Physics (S.Hassani)

Planned Learning Activities and Teaching Methods

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

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

1) It creates the midterm exam success of the students.
2) Final exam is added to the semester success to form the final semester grade mark.

Language of Instruction

Turkish

Course Policies and Rules

1. Attendance at 70% of the classes is mandatory.
2. Any act of cheating will result in a disciplinary investigation.

Contact Details for the Lecturer(s)

hakan.epik@deu.edu.tr

Office Hours

It will be announced later.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 4 56
Tutorials 14 2 28
Preparations before/after weekly lectures 14 4 56
Preparation for midterm exam 1 5 5
Preparation for final exam 1 5 5
Midterm 1 2 2
Final 1 2 2
TOTAL WORKLOAD (hours) 154

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.144511212111122
LO.244511212111122
LO.344411212111122
LO.443411212111122
LO.543411212111122
LO.643411212111122