Information Package / Course Catalogue - Adnan Menderes University

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Numerical Analysis I

Course Code	: MAT327
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	: 5

Objectives of the Course

The aim of the course is to introduce the main concepts of numerical analysis and to introduce various numerical methods and to give its error analysis. To improve the problem solving abilities by giving various applied examples. Try to give the relevance of numerical analysis with other topics.

Course Content

Computer arithmetic and error analysis. The solution of nonlinear equations: direct and iterative methods. The solutions of system of linear equations: direct and iterative methods. Error analysis of the methods.

Name of Lecturer(s)

Learning Outcomes

1.	To learn the main concepts of numerical analysis
2.	To learn the various numerical methods
3.	To be able to give its error analysis
4.	To be able to give the relevance of numerical analysis with other topics
5.	To be able to gain the skill of interpreting some interrelations among these concepts

Recommended or Required Reading

1.	Kendall E. Atkinson. Elementary Numerical Analysis. Wiley, New York, second edition, 1993. ISBN 0-471-60010-5, xiii+425 pp.
2.	John H. Mathews, Numerical Methods, Prentice Hall (1987).
3.	Richard L. Burden, J. Douglas Faires, Numerical Analysis, (5th ed.).

Weekly Detailed Course Contents

Week 1 - Theoretical

The general revision of calculus related to numerical analysis.

Week 2 - Theoretical

Computer arithmetic, algorithms and the error analysis.

Week 3 - Theoretical

The solution of nonlinear equations, Bracketing method and its error analysis

Week 5 - Theoretical

Newton Raphson method and error analysis

Week 7 - Theoretical

Theory of fixed point iterations and the methods. error analysis

Week 8 - Intermediate Exam

MIDTERM EXAM

Week 9 - Theoretical

Introduction to system of linear equations, some properties and norms

Week 10 - Theoretical

Direct methods Gauss elimination, Gauss-Jordan method, pivoting and error analysis

Week 11 - Theoretical

Matrix inversion. LU factorization etc.

Week 12 - Theoretical

Norms and condition numbers

Week 13 - Theoretical

Iterative methods: Jacobi method and matrix analysis

Week 14 - Theoretical

Gauss-Seidel method and matrix analysis

Week 15 - Theoretical

Eigenvalues and Eigenvectors

Week 16 - Final Exam

Final Exam

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Assignment	2	%10
Quiz	2	%10
Midterm Examination	1	%20
Final Examination	1	%70

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	0	2	28
Lecture - Practice	14	0	2	28
Assignment	2	0	5	10
Quiz	2	3	2	10
Midterm Examination	1	20	2	22
Final Examination	1	25	2	27
TOTAL WORKLOAD (hours)				125

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										5			4	4	5		4	5
OÇ-2	4	4	4										4	4	4			4
OÇ-3								4					3
OÇ-4					4						4					4
OÇ-5

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