Information Package / Course Catalogue
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: 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

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)
Res. Assist. İclal GÖR
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
The general revision of calculus related to numerical analysis.
Week 2 - Theoretical & Practice
Computer arithmetic, algorithms and the error analysis.
Week 3 - Theoretical & Practice
The solution of nonlinear equations, Bracketing method and its error analysis
Week 4 - Theoretical & Practice
Regula-Falsi and Secant Methods
Week 5 - Theoretical & Practice
Newton Raphson method and error analysis
Week 6 - Theoretical & Practice
Theory of fixed point iterations and the methods. error analysis
Week 7 - Theoretical & Practice
Theory of fixed point iterations and the methods. error analysis
Week 8 - Theoretical & Practice
Aitken Methods, MIDTERM EXAM
Week 9 - Theoretical & Practice
Introduction to system of linear equations, some properties and norms
Week 10 - Theoretical & Practice
Direct methods Gauss elimination, Gauss-Jordan method, pivoting and error analysis
Week 11 - Theoretical & Practice
Matrix inversion. LU factorization etc.
Week 12 - Theoretical & Practice
Iterative methods: Jacobi method and matrix analysis
Week 13 - Theoretical & Practice
Gauss-Seidel method and matrix analysis
Week 14 - Theoretical & Practice
Newton method for system of nonlinear equations
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