Information Package / Course Catalogue - Adnan Menderes University

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

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Applied Mathematics

Course Code	: MAT431
Course Type	: Area Elective
Couse Group	: First Cycle (Bachelor's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 2
Prt.	: 2
Credit	: 3
Lab	: 0
ECTS	: 6

Objectives of the Course

To give the basic equations and systems, wave and heat equations in mathematical physics and engeneering, and Fourier Series

Course Content

Basic equations and systems in applied mathematics,,Wave equations, Heat and diffusion equations, Fourier Series and Fourier Integrals

Name of Lecturer(s)

Learning Outcomes

1.	To define basicly equations and equations systems in applied mathematics
2.	To teach one, two. three dimension wave equations
3.	To give heat equations
4.	To give information about fourier series
5.	To be able to use mathematical concepts in solving certain types of problems

Recommended or Required Reading

1.	Partial Differential Equations of Applied Mathematics, Erich Zauderer
2.	Introduction to Partial Differential Equations and Boundary Value problems, Rene Denemeyer
3.	Equations of Mathematical Physics, V.S. Viladimirov
4.	Kısmi Diferansiyel Denklemler (Partial Differantial Equations), Mehmet Çağlayan, Okay Çelebi
5.	Kısmi Diferansiyel Denklemler (Partial Differantial Equations),Kerim Koca

Weekly Detailed Course Contents

Week 1 - Theoretical & Practice

Vector analysis technique

Week 2 - Theoretical & Practice

Main equations and systems of applied Mathematics, Poisson and Laplace equations,heat and diffusion equations

Week 3 - Theoretical & Practice

Wave equations, Acousttic system, lame system, Maxwell’s system

Week 4 - Theoretical & Practice

Sturm-Liouville Problems

Week 5 - Theoretical & Practice

Introduction to wave equations

Week 6 - Theoretical & Practice

Wave equation in one dimension and two dimension

Week 7 - Theoretical & Practice

Wave equation in three dimension, Polar coordinates in wave equations

Week 8 - Theoretical & Practice

Introduction to heat equations, Midterm Exam

Week 9 - Theoretical & Practice

Heat equations; one dimension

Week 10 - Theoretical & Practice

Heat equations; two dimension

Week 11 - Theoretical & Practice

Polar coordinates in heat equations

Week 12 - Theoretical & Practice

Fourier Series

Week 13 - Theoretical & Practice

Fourier Integrals

Week 14 - Theoretical & Practice

Elliptic Integrals

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Attending Lectures	1	%5
Assignment	1	%5
Midterm Examination	1	%30
Final Examination	1	%60

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	2	28
Lecture - Practice	14	0	2	28
Assignment	1	2	2	4
Individual Work	14	0	2	28
Midterm Examination	1	28	2	30
Final Examination	1	30	2	32
TOTAL WORKLOAD (hours)				150

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	PÇ-16	PÇ-17	PÇ-18
OÇ-1	4		4	2	4	5	5	2	5	5	4	4	4
OÇ-2	5		4	2	4	4	4	3	4	5	5	4	4
OÇ-3	4		5	2	4	5	5	2	5	4	3	4	5
OÇ-4	4		4	2	4	4	5	2	4	5	4	5	4
OÇ-5

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