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ELECTRICAL AND ELECTRONICS ENGINEERING (ENGLISH) PROGRAMME
COURSE DESCRIPTION
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Name of the Course Unit
| Code
| Year
| Semester
| In-Class Hours (T+P)
| Credit
| ECTS Credit
|
NUMERICAL ANALYSIS |
MAT302 |
3 |
6 |
3+0 |
3.0 |
5.0 |
Objectives and Contents |
Objectives of the Course Unit |
The purpose of the numerical analysis is two-fold: (1) to find acceptable approximate solutions when exact solutions are either impossible or so arduous and time-consuming as to be impractical, and (2) to devise alternate methods of solution better suited to the capabilities of computers. While this course will involve the student in considerable computation in order to apply techniques and obtain acceptable answers, the main emphasis will be on the underlying theory. It will be necessary to draw upon a good bit of calculus, linear algebra, computer science and other branches of mathematics during the course. |
Contents of the Course Unit |
This course covers the Round-off Errors and Computer Arithmetic: Binary Machine Numbers, Decimal Machine Numbers, Rate of Convergence,The Bisection Method; Fixed-Point Iteration The Newton's Method; The Secant Method,The Method of False Position; Error Analysis for Iterative Methods; Accelerating Convergence,Interpolation and the Lagrange Polynomial,Data Approximation and Neville's Method,Divided Differences: Forward, Backward and Centered Differences Numerical Differentiation: Three and Five Point Formulas Numerical Integration,Numerical Differentiation: Second Derivative Midpoint Formula; Round-Off Error Instability,Numerical Integration: the Trapezoidal and Simpson's Rule , Romberg Integration, Adaptive Quadrature Methods, Gaussian Quadrature,Numerical Integration: Open and Closed Newton-Cotes Formulas,Numerical Integration: Composite Numerical Integration and Round-Off Error Stability |
Contribution of the Course Intending to Provide the Professional Education |
We study numerical analysis to 1) get to know how fast errors cause problems 2) to find better algorithms that cause less errors |
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