Information Package / Course Catalogue
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: 6
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)
Assoc. Prof. Korhan GÜNEL
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 & Practice
Meeting and introduction to course. Interpolation and polynomial approximation. Taylor series approach.
Week 2 - Theoretical & Practice
Lagrange interpolation and error analysis
Week 3 - Theoretical & Practice
Newton interpolation, divided differences and error analysis
Week 4 - Theoretical & Practice
Interpolatons on equally spaced notes
Week 5 - Theoretical & Practice
Spline interpolation,linear, quadratic and cubic
Week 6 - Theoretical & Practice
Rational interpolation and Padé approach
Week 7 - Theoretical & Practice
Chebyshev interpolation and error
Week 8 - Theoretical & Practice
Curve fitting, Least square approximation, MIDTERM EXAM
Week 9 - Theoretical & Practice
Curve fitting, Least square approximation
Week 10 - Theoretical & Practice
Numerical differentiation, error analysis optimum step size
Week 11 - Theoretical & Practice
Derivation of various differential formula by using interpolation
Week 12 - Theoretical & Practice
Numerical quadrature, Newton-Codes integration
Week 13 - Theoretical & Practice
Romberg integration
Week 14 - Theoretical & Practice
Numerical solutions of multiple integration
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140228
Lecture - Practice140228
Individual Work140342
Midterm Examination120222
Final Examination128230
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
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
Adnan Menderes University - Information Package / Course Catalogue
2026