Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | MAT30620121310 | NUMERICAL ANALYSIS INTRODUCTION | Compulsory | 3 | 6 | 5 |
|
Level of Course Unit |
First Cycle |
Objectives of the Course |
To find suitable methods which have best approach and to extract meaningful and useful results from them in order to solve mathematical problems.
|
Name of Lecturer(s) |
Yrd. Doç. Dr.Mehmet Korkmaz |
Learning Outcomes |
1 | To determine: What numerical analysis is. Definition, purpose and features of numerical analysis. Error analysis: Error sources, Error types. | 2 | To solve linear algebraic equations with numerical methods | 3 | To calculate solutions of nonlinear equations with numerical methods | 4 | To investigate eigenvalue problems in matrix |
|
Mode of Delivery |
Formal Education |
Prerequisites and co-requisities |
None |
Recommended Optional Programme Components |
None |
Course Contents |
What is numerical analysis? Definition, purpose and features of numerical analysis. Error analysis: Error sources, Error types. Numerical solutions of nonlinear equations: Halving method, Simple iteration method, Newton-Raphson method, Regula-False method, Secant method. Numerical solutions of systems of nonlinear equations: Newtons's method, Simple iteration method. Numerical solutions of systems of linear equations: Gaussian elimination, LU-factorization, Gauss-Jourdan method, Least squares method, Gauss Seidel method, Jacobi method. Eigenvalue problems in matrix: One of the largest and smallest eigenvalues of the matrix, Force method, inverse power method. |
Weekly Detailed Course Contents |
|
1 | What is numerical analysis? Definition, purpose and features of numerical analysis. Error analysis: Error sources, Error types. | | | 2 | Numerical solutions of nonlinear equations: Simple iteration method | | | 3 | Newton-Raphson method | | | 4 | Regula-False method | | | 5 | Secant method, halving method | | | 6 | Numerical solutions of systems of nonlinear equations: Simple iteration method | | | 7 | Newton method | | | 8 | Midterm exam | | | 9 | Numerical solutions of systems of linear equations | | | 10 | Gaussian elimination, Gauss-Jourdan method | | | 11 | LU-factorization | | | 12 | Jacobi method, Gauss Seidel method, | | | 13 | Eigenvalue problem | | | 14 | One of the largest and smallest eigenvalues of the matrix | | | 15 | Force method, inverse power method | | | 16 | final exam | | |
|
Recommended or Required Reading |
|
Planned Learning Activities and Teaching Methods |
|
Assessment Methods and Criteria | |
SUM | 0 | |
SUM | 0 | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | None |
|
Workload Calculation |
|
Midterm Examination | 1 | 2 | 2 |
Final Examination | 1 | 2 | 2 |
Makeup Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 4 | 56 |
Problem Solving | 5 | 3 | 15 |
Self Study | 14 | 1 | 14 |
Individual Study for Homework Problems | 5 | 3 | 15 |
Individual Study for Mid term Examination | 8 | 3 | 24 |
Individual Study for Final Examination | 8 | 3 | 24 |
|
Contribution of Learning Outcomes to Programme Outcomes |
|
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
|
|
Ordu University Rectorate Building ,Cumhuriyet Campus , Center / ORDU / TURKEY • Tel: +90 452 226 52 00
|