Information Package / Course Catalogue - Adnan Menderes University

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Advanced Engineering Mathematics

Course Code	: EEE503
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	: 6

Objectives of the Course

To help engineering students complete their mathematical background necessary in graduate level researches.

Course Content

Ordinary differential equations and differential equation systems, series solution of ordinary differential equations (power series method, Legendre and Bessel equations, Frobenius method), Laplace transform, applications of engineering problems, Fourier Analysis and partial differential equations, Fourier Series, partial differential equations and Fourier series solutions, wave and heat equations, complex analysis, complex integration, complex numbers and functions, power series, conformal mapping, conformal transformations

Name of Lecturer(s)

Learning Outcomes

1.	To be able to formulize and solve physical problems
2.	To be able to construct mathematical relations and analyze the results
3.	To be able to understand the mathematical methods used in engineering applications.
4.	To be able to discuss the mathematical methods used in engineering applications.
5.	To be able to apply the mathematical methods used in engineering applications.

Recommended or Required Reading

1.	Erwin Kreyszig, Advanced Engineering Mathematics Seventh Edition, Wiley (2006)
2.	W.E. Boyce & R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems Eighth Edition, (2005).
3.	Lecturer’s lecture Notes

Weekly Detailed Course Contents

Week 1 - Theoretical

Review of homogenous and non-homogenous, constant coefficient ordinary differential equations and differential equation systems

Week 2 - Theoretical

Review of ordinary differential equations and their solutions

Week 3 - Theoretical

Systems of differential equations and their solutions

Week 4 - Theoretical

Science&Engineering applications of ordinary differential equations (forced oscillatory motion, R-L-C circuits, and circuit systems, etc.)

Week 5 - Theoretical

Science&Engineering applications systems of differential equation systems (problems in mechanics, rate&speed change problems of physical quantities, DC/AC circuit solutions, etc.)

Week 6 - Theoretical

Fourier series, Fourier expansion, Science and engineering applications

Week 7 - Theoretical

Fourier and Laplace transform

Week 8 - Theoretical

Review-Midterm Exam

Week 9 - Theoretical

Science and engineering applications of Fourier and Laplace transform

Week 10 - Theoretical

Sturm-Liouville theory

Week 11 - Theoretical

Eigenvalue problems and Science&engineering applications

Week 12 - Theoretical

Infinite series and convergence tests

Week 13 - Theoretical

Power series, Taylor series and Binomial expansions

Week 14 - Theoretical

Power series solutions of differential equations

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Assignment	2	%10
Term Assignment	1	%5
Midterm Examination	1	%15
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	3	3	84
Assignment	2	5	3	16
Term Project	1	10	2	12
Midterm Examination	1	10	2	12
Final Examination	1	24	2	26
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
OÇ-1	4	5	4	4	5	4	4
OÇ-2	5	5	5	4	4	5	4
OÇ-3	4	4	4	5	5	4	4
OÇ-4	5	5	4	4	4	4	4
OÇ-5	5	5	4	4	4	4	4

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