Course info

SCHEDULE : 07:30-10:30 1,3,5

Course Name: Numerical Methods (Lec) 

Course Description: A course covers the concepts of numerical
analysis and computer software tools in dealing with engineering problems. It
includes techniques in finding the roots of an equation, solving
systems of linear and non-linear equations, eigenvalue problems, polynomial
approximation and interpolation, ordinary and partial differential equations.
The Monte-Carlo method, simulation, error propagation and analysis, the methods
of least squares and goodness-of-fit tests are also discussed.

Prerequisite: EM 4 Differential Equation

Lecture Unit:  3 units – 3 hours/week

Course Outcome:  After completing this course, the student must be able to

1. Use the numerical methods in modern scientific computing.
2. Familiar with finite precision computation.
3. Model engineering systems using first and second order differential equations, and solve the equations both analytically and numerically.
4. Employ the Taylor Series for approximation and error analysis.
5. Formulate and apply numerical techniques for root finding, curve fitting, differentiation, and integration.
6. Write computer programs to solve problems with MATLAB and or any object oriented capabilities depending upon the nature of the problem.
7. Familiar with programming with numerical packages like MATLAB.
8. Perform both hand computation and programming applied in MATLAB.

Course Topics:

1. Introduction
2. Non Linear Transcendental and Polynomial Function Techniques
3. Iterative Bracketing Method
4. Iterative Non-Bracketing /Open Method
5. Iterative Polynomial Function Techniques
6. System of Linear Equations
7. Direct Methods
8. Optimization
9. Curve Fitting
10. Numerical Differentiation Techniques
11. Numerical Integration Techniques
12. Ordinary Differential Equations
13. Partial Differential Equation