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
FIZ 2906 MATHEMATICAL METHODS IN PHYSICS II COMPULSORY 4 2 0 8

Offered By

Physics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR AYLIN YILDIZ TUNALI

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, Complex Functions
2 Integral of Functions with Complex Variables
3 Series Expansions of Complex Functions
4 Residue Theorem
5 Applications of the Residue Theorem
6 Fourier Transforms - I
7 Fourier Transforms - II
8 MIDTERM EXAM
9 Laplace Transforms
10 Series Solution Method of Differential Equations
11 Orthogonal Polynomials - I
12 Orthogonal Polynomials - I
13 Partial Differential Equations
14 General Review

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.Home Work

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 QUZ QUIZ
3 FIN FINAL EXAM
4 FCG FINAL COURSE GRADE MTE * 0.30 + QUZ * 0.20 + FIN * 0.50
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + QUZ * 0.20 + RST * 0.50


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

Further Notes About Assessment Methods

None

Assessment Criteria

1) Students' quiz and midterm exams 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)

aylin.yildiz@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 4 52
Tutorials 13 2 26
Preparations before/after weekly lectures 13 4 52
Preparation for quiz etc. 1 15 15
Preparation for midterm exam 1 20 20
Preparation for final exam 1 25 25
Midterm 1 2 2
Final 1 2 2
Quiz etc. 1 2 2
TOTAL WORKLOAD (hours) 196

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