Information Package / Course Catalogue - Adnan Menderes University

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Advanced Engineering Mathematics I

Course Code	: EEE661
Course Type	: Area Elective
Couse Group	: Third Cycle (Doctorate Degree)
Education Language	: English
Work Placement	: N/A

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

Objectives of the Course

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

Course Content

Numerical root finding, numerical integral, numerical derivative, interpolation, least squares regression, optimization, software implementation (Matlab, Python, Mathematica, Excel, etc.), science and engineering applications.

Name of Lecturer(s)

Learning Outcomes

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

Recommended or Required Reading

1.	Erwin Kreyszig, Advanced Engineering Mathematics 10th Edition, Wiley (2011).
2.	W.E. Boyce & R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems Eighth Edition, (2005).
3.	Lecture notes.

Weekly Detailed Course Contents

Week 1 - Theoretical

Chapra and Canale Ch. 1-3: Review of introductory numerical analysis topics

Week 2 - Theoretical

Chapra and Canale Ch. 4: Truncation error and Taylor series

Week 3 - Theoretical

Chapra and Canale Ch. 5: Bracketing methods to find roots

Week 4 - Theoretical

Chapra and Canale Ch. 6: Clear methods for finding roots

Week 5 - Theoretical

Chapra and Canale Ch. 7: Finding polynomial roots

Week 6 - Theoretical

Chapra and Canale Ch. 8: Case studies (Root finding and science and engineering applications)

Week 7 - Theoretical

Chapra and Canale Ch. 9: Gauss elimination

Week 8 - Theoretical

Review-Midterm Exam

Week 9 - Theoretical

Chapra and Canale Ch. 11: Special matrices and the Gauss-Seidel method

Week 10 - Theoretical

Chapra and Canale Ch. 17: Least squares regression

Week 11 - Theoretical

Chapra and Canale Ch. 18: Interpolation

Week 12 - Theoretical

Chapra and Canale Ch. 21-22: Numerical integral

Week 13 - Theoretical

Chapra and Canale Ch. 23: Numerical derivative

Week 14 - Theoretical

Project presentations

Assessment Methods and Criteria

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

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
Project	1	56	2	58
Midterm Examination	1	28	2	30
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
OÇ-1	4	5	5	4	4	5	5	4	4	3	5	5
OÇ-2	5	4	3	5	5	4	4	5	5	4	4	5
OÇ-3	5	5	4	4	5	5	5	4	4	5	5	5
OÇ-4	4	5	5	3	4	5	4	5	4	5	5	4
OÇ-5	5	5	4	4	5	5	4	4	5	5	4	5

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