Syllabus [Numerical Methods]
[2nd Semester , 2018/2019]
Instructor |
Email |
Office Location & Hours |
Ismailhamdan56@gmail.com |
[AL-Layeek School, 13:00-15:00, Saturday] |
● The course includes: Numerical Methods in general, Numerical Methods in Linear Algebra, Numerical Methods for Differential Equations.
Enabling students to:
1- Understanding the approximate solutions for equations.
2- Understanding the computing values of a polynomials. Horner’s Scheme.
3- Finding the numerical solution of linear system, Jacobi’s and Gauss – Seidel Method.
4- Finding the numerical solution of ODEs.
- Numerical Methods ,Soft Copy, P.KANDASAMY, K.THILAGAVATHY, K.GUNAVATHI.
- Differential Equations with Boundary- Value Problems, Soft Copy, Dennis G.Zill, Michael R.Cullen.
- الرياضيات الحسابية، ديميدوفيتش ومارون، مطبعة جامعة دمشق 1980.
The subject |
Week |
|
|
|
|||
Introduction: Approximate Numbers, Polynomials |
1 |
||
Computing the values of a polynomials. Horner’s Scheme. |
2 |
||
Solution of equation by Iteration: Isolation of roots, Graphical Solution of Equation. |
3 |
||
Solution of equation by Iteration: Bisection Method, Newton – Raphson Method, Iteration method. |
4 |
||
Interpolation: Lagrange Interpolating Polynomial |
5 |
||
Interpolation Formulas by use of Differences |
6 |
||
Approximate Integration of functions, Trapezoidal Rule. |
7 |
||
Approximate Integration of functions, Simpson’s General Formula. |
8 |
||
Direct Methods for Solving Linear System: Gauss and Gauss – Jordan Method. |
9 |
||
Direct Methods for Solving Linear System: LU – Factorization. |
10 |
||
Iterative Methods for Solving Linear Systems: Jacobi’s Method |
11 |
|
|
Iterative Methods for Solving Linear Systems: Gauss – Seidel Method |
12 |
|
|
Numerical Solution of ODEs: Taylor Series Method, Picard’s Method. |
13 |
|
|
Numerical Solution of ODEs: Runge – Kutta Methods |
14 |
|
|
Solution of PDEs: Laplace Equation, Heat Equation. |
15 |
|
test |
Date |
Subject |
Type |
language |
% of final grade |
Quizz 1 |
16/03/2019 |
The 1st six topics |
written |
English |
10 |
Quizz 2 |
27/04/2019 |
The 2nd six topics |
written |
English |
10 |
Final exam |
25/05/2019 |
All of topics |
written |
English |
75 |
- Specifying 5% for Activity and participation
Syrian Private University - Petrol Engineering @ 2024 by Syrian Monster - Web Service Provider | All Rights Reserved