Numerical Analysis Methods
Electrical Engineering
Faculty of Engineering
First Cycle (Bachelor's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Numerical Analysis Methods | MEL212 | Compulsory | Bachelor's degree | 2 | Spring | 4 |
Name of Lecturer(s)
Prof. Dr. Hüseyin Tarık DURU
Associate Prof. Dr. Mehmet Zeki BİLGİN
Assistant Prof. Dr. Tarık ERFİDAN
Assistant Prof. Dr. Murat ÜNLÜ
Learning Outcomes of the Course Unit
1) Comprehension of matrix operation
2) Programming linear algebra
3) Calculate the roots of nonlinear functions
4) Solve the system of linear equations
5) Solve the system of nonlinear equations
6) Perform curve fitting and interpolation
7) Solve the ordinary differantial equations using numerical methods.
8) Formulate and solve numerical integration and differentiation problems
Program Competencies-Learning Outcomes Relation
| Program Competencies | |||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ||
| Learning Outcomes | |||||||||||
| 1 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 5 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 6 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 7 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 8 | High | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Differential EquationsIntroduction to Electrical EngineeringMathematics IMathematics IILinear Algebra
Course Contents
Importance of Numerical Methods in Engineering, Computer Solution of Linear Algebra (matrix, Complex matrix, Inverse Matrix and Computer Programming). Numerical Solution of Nonlinear Equations (Step descent method, Bisection method, Newton Raphson Method, ...), Solving Systems of Linear Equations using Direct Methods (Inverse matrix, Gauss Elimination, Cramer ), Solving Systems of Linear Equations using Iterative Methods(Jakobi Method, Gauss-Seidel Method). Nonlinear Functions of Several Variables. Curve Fitting and Interpolation (Linear interpolation, Lagrange Interpolation Formula, Least Square Method), Numerical Differentiation and Integration. Numerical Solution of Ordinary Differential Equations(Euler Method, Runge Kutta Method, Adams Method)
Weekly Schedule
1) Linear algebra (matrix, comlex matrix and matrix operation)2) Programming of Elementary Matrix Operations with PASCAL
3) Numerical Solution of Nonlinear Equations (Step Descent Method, Bisection Method, Secand method)
4) Numerical solution of nonlinear Equations (Simple Iteration Method, Newton Raphson Method, Advanced NR Method)
5) Solving Systems of Linear Equations( Direct Methods)
6) Solving Systems of Linear Equations (Iterative Methods: Jakobi method, Gauss-Seidel method),
7) Examples
8) Midterm examination/Assessment
9) Numerical Differentiation
10) Numerical Integration
11) Applications of Numerical Differentiation and Integration
12) Solving nonlinear equation systems
13) Interpolation and Curve Fitting (linear interpolation, Lagrange interpolation Formula)
14) Interpolation and Curve Fitting (Least Square Method)
15) Numerical Solution of Ordinary Differential Equations (Euler method, Runge-Kutta method, Adams Method)
16) Final examination
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Lecture
2) Drill and Practice
3) Simulation
4) Lab / Workshop
5) Project Based Learning
Assessment Methods and Criteria
Contribution of Midterm Examination to Course Grade |
30% |
|---|---|
Contribution of Final Examination to Course Grade |
70% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required