Information Package / Course Catalogue - Adnan Menderes University

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Numerical Analysis II

Course Code	: MAT330
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

Interpolation and polynomial approximation. Taylor series and the analysis. Lagrange interpolation and the error analysis. Newton polynomials and divided differences. Spline interpolation, rational interpolation,Pade interpolation and error analysis. Chebyshev interpolation. Curve fitting and least square method. Numerical differentiation error analysis and various derivations.Numerical quadrature, Newton-Codes formula and Gauss-Legandre integration.

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

Interpolation and polynomial approximation. Taylor series approach.

Week 2 - Theoretical

Lagrange interpolation and error analysis

Week 3 - Theoretical

Newton interpolation, divided differences and error analysis

Week 4 - Theoretical

Interpolatons on equally spaced notes

Week 5 - Theoretical

Spline interpolation,linear, quadratic and cubic

Week 6 - Theoretical

Rational interpolation and Padé approach

Week 7 - Theoretical

Chebyshev interpolation and error

Week 8 - Intermediate Exam

MIDTERM EXAM

Week 9 - Theoretical

Curve fitting, Least square approximation

Week 10 - Theoretical

Numerical differentiation, error analysis optimum step size

Week 11 - Theoretical

Derivation of various differential formula by using interpolation

Week 12 - Theoretical

Numerical quadrature, Newton-Codes integration

Week 13 - Theoretical

Derivation of integral formula by using interpolation

Week 14 - Theoretical

Ordinary differential equations

Week 15 - Theoretical

Partial differential equations

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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