COURSE UNIT TITLE

: MATHEMATICAL METHODS IN PHYSICS II

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

ASSISTANT PROFESSOR HAKAN EPIK

Offered to

Physics

Course Objective

This course aims to establish the mathematical background that will be required in future classes such as quantum mechanics and theoretical mechanics. It aims to teach the mathematical methods necessary in modern physics to people who have general physics and analysis knowledge.

Learning Outcomes of the Course Unit

1   Gain practice in converting a physics problem into a mathematical model and using mathematical methods to solve problems in physics.
2   To be able to perform algebraic operations on complex numbers and to analyze functions with complex variables.
3   To be able to explain and apply Fourier analysis.
4   Being able to recognize Legendre, Bessel and Hermite differential equations and to analyze the properties of polynomials coming from their solutions and their importance in Physics.
5   Learns to apply differential equations in Physics.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Complex Numbers
2 Complex Functions
3 Integration of Functions of Complex Variables
4 Series Expansion of Complex Functions
5 Residue Theorem
6 Applications of Residue Theorem
7 Integral Calculation with Residue Theorem
8 Fourier Transforms
9 Complex Fourier Transforms
10 Laplace Transforms
11 Solving Differential Equations Using the Series Method
12 Orthogonal Polynomials - I
13 Orthogonal Polynomials - II
14 Partial Differential Equations

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.Problem Solving

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) Students' midterm exam form their success during the semester.
2) Final exam is added to the semester success to form the final semester grade mark.

Language of Instruction

Turkish

Course Policies and Rules

It is obligated to continue to at least 70% of lessons.

Contact Details for the Lecturer(s)

hakan.epik@deu.edu.tr

Office Hours

Thursday between 13:00-14:00

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
Final 1 2 2
Midterm 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.154412312211111
LO.254412312211111
LO.354412312211111
LO.454412312211111
LO.554412312211111