Information Package / Course Catalogue - Adnan Menderes University

General Information Unit Staff Academic Information Programme Outcomes Course Structure Diagram Contact Information

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Mathematical Methods of Physics II

Course Code	: MTK582
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 8

Objectives of the Course

This course aims to give the fundamental concepts of generalized functions.

Course Content

Canonical functions, Taylor’s and Laurent Series of generalized functions , Convolutions of generalized functions, Elementary solutions of differential equations with constant coefficients, Fourier transforms of test functions, Fourier transforms of generalized functions, Several Variable, Fourier transforms and differential equations.

Name of Lecturer(s)

Prof. İnci EGE

Learning Outcomes

1.	To be able to acquire Taylor and Laurent series of generalized functions
2.	To be able to define Fourier transforms of test functions and generalized functions
3.	To be able to define some mathematical concepts which are essential in his/her field
4.	To be able to gain the skill of interpreting some interrelations among these concepts
5.	To be able to use mathematical concepts in solving certain types of problems

Recommended or Required Reading

1.	I. M. Gelfand and Shilov, Generalized Functions, Vol. I, Academic Press, 1964.
2.	R. Hoskins and J.S. Pinto, Ellis Horward, Chichester, Distributions, Ultradistributions and Other Generalized Functions, 1994.

Weekly Detailed Course Contents

Week 1 - Theoretical

Canonical functions

Week 2 - Theoretical

Taylor’s and Laurent Series for x^?

Week 3 - Theoretical

Taylor’s series for (x+i0)^?, (x-i0)^?

Week 4 - Theoretical

Convolutions of generalized functions

Week 5 - Theoretical

Convolutions of generalized functions

Week 6 - Theoretical

Elementary solutions of differential equations with constant coefficents

Week 7 - Theoretical

Fourier transforms of test functions

Week 8 - Theoretical

Fourier transforms of test functions

Week 9 - Theoretical

Fourier transforms of generalized functions (A single Variable) (Midterm)

Week 10 - Theoretical

Fourier transforms of generalized functions (A single Variable)

Week 11 - Theoretical

Fourier transforms of generalized functions (A single Variable)

Week 12 - Theoretical

Fourier transforms of generalized functions (Several Variable)

Week 13 - Theoretical

Fourier transforms of generalized functions (Several Variable)

Week 14 - Theoretical

Fourier transforms and differential equations

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Midterm Examination	1	%30
Final Examination	1	%50
Assignment	1	%20

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	3	42
Assignment	2	20	2	44
Midterm Examination	1	50	2	52
Final Examination	1	60	2	62
TOTAL WORKLOAD (hours)				200

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15
OÇ-1	4		4				4								2
OÇ-2	3		4				3								1
OÇ-3	4		3				3
OÇ-4	3		4				4
OÇ-5	4		4				4

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