Course Description
Error analysis. Solutions of nonlinear equations in one variable. Interpolation and polynomial approximation. Numerical differentiation and integration. Direct and iterative methods for solving linear systems. Initial value problems for ordinary differential equations.
Course Objectives & Outcomes
Objectives:
- Equip the student with necessary knowledge and skills to enable him to apply numerical methods for solving nonlinear equations.
- Develop skills in calculating derivatives and integrals by various numerical methods.
- Enable the student to evaluate errors for used numerical methods.
- Equip the student with necessary knowledge and skills to enable him to apply direct and iterative methods for solving linear systems.
- Develop skills in applying numerical methods to initial value problems for ordinary differential equations.
Outcomes: Upon successful completion of this course the student will be able to:
- Evaluate errors for a given numerical method,
- Solve nonlinear equations using an appropriate numerical method,
- Explain the function approximation notion using an appropriate numerical method,
- Solve linear systems using an appropriate numerical method,
- Define numerical differentiation and integration,
- Discuss the numerical solution of an initial value problem for ordinary differential equations,
- Compare various numerical methods to solve a given problem.
References
1. Kharab, A., Guenther, R.B. (2011) An introduction to numerical methods: A matlab approach, 3rd edition, Champan & Hall/CRC, ISBN 10: 1439868999, ISBN 13: 9781439868997.
2. Burden, R. L., Faires, J. D. (2016) Numerical Analysis, 10th edition, Brooks/Cole, ISBN-13: 978-0534382162, ISBN-10: 0534382169.
3. Atkinson, K. (1989) An INTRODUCTION TO NUMERICAL ANALYSIS, 2nd edition, J. Wiley and Sons, ISBN: 978-0-471-62489-9.
Course ID: MATH 305
Credit hours | Theory | Practical | Laboratory | Lecture | Studio | Contact hours | Pre-requisite | 3 | 2 | 2 | 4 | MATH 205 |
---|