Faculty of Engineering and Natural Sciences · Electrical & Electronics Engineering (English 30%) · Undergraduate
Course Objective
Aim of the course is to provide students with an introduction to the language, logic, and
arithmetic of numerical methods used in engineering, as well as an opportunity to discover
how numerical analyses can be applied to a variety of important problems in research,
industry, and society.
Course Content
1 Introduction and Error Analysis
2 Solving System of Linear Equations (Direct Methods)
3 Solving System of Linear Equations (Indirect-Approximation Methods)
4 Root Finding (Bisection, Fixed Point and Newton Raphson Iteration Methods)
5 Lagrange Interpolation, Newton Interpolation
6 Numerical Differentiation
7 Numerical Integration
8 Numerical Solutions of Ordinary Differential Equations
Required Resources
*Numerical Analysis 10th Edition, Richard L. Burden , J. Douglas Faires, Cengage Learning,
*Numerical Methods Using Matlab, J. Mathews, K. Fink, Pearson
are recommended textbooks, main source is
*Lecture Notes (will be shared via Moodle).
Course Learning Outcomes
- To earn the ability of error analysis in numerical methods
- To Solve System of Linear Equations by Direct Methods and Indirect Methods
Core Area Distribution
Teaching Methods
Assessment & Evaluation
ECTS / Workload
| Activity | Quantity | Duration (h) | Total Workload |
|---|---|---|---|
| Course Duration (Including Exam Week) | 14 | 4 | 56 |
| Out of Class Study Period | 20 | 3 | 60 |
| Midterm | 2 | 2 | 4 |
| Quiz | 5 | 1 | 5 |
| Assignment | 6 | 1 | 6 |
| Practice | 5 | 1 | 5 |
| Final | 1 | 2 | 2 |
Course Schedule
| Week | Subject | Preparation |
|---|---|---|
| 1 | Introduction and Error Analysis | Infinite Sequences and Series |
| 2 | Solution of Linear Systems (Gaussian elimination, LU factorization, Cholesky Decomposition) | Linear Algebra (Matrix Operations and Solving Systems of Linear Equations) |
| 3 | Solution of Linear Systems (DooLittle Decomposition, Crout Decomposition) | Linear Algebra (Matrix Operations and Solving Systems of Linear Equations) |
| 4 | Solution of Linear Systems (Jacobi Iteration, Gauss-Seidel Iteration) | Linear Algebra (Matrix Operations and Solving Systems of Linear Equations) |
| 5 | Solution of Nonlinear Equations (Bisection Method) | * |
| 6 | Solution of Nonlinear Equations (Newton-Raphson Method) | * |
| 7 | Solution of Nonlinear Equations (Fixed Point Iteration) | * |
| 8 | MIDTERM | MIDTERM |
| 9 | Newton Interpolation | * |
| 10 | Lagrange Interpolation | * |
| 11 | Numerical Differentiation | * |
| 12 | Numerical Integration | * |
| 13 | Numerical Solutions of Ordinary Differential Equations | * |
| 14 | Numerical Solutions of Ordinary Differential Equations (continued) | * |
| 15 | Review for Final Exam | * |
| 16 | Final Exam | Final Sınavı |