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COURSE INFORMATION FOR CURRENT SEMESTER/
TERM

Teaching Schedule

References/Teaching Materials/
Week Lecture/Tutorial/Assignment Topic
Equipment
1 Taylor’s Series and Taylor’s Theorem. Truncation error. Big O notation Lecture notes, Reference texts

2 Roots finding for nonlinear equations Lecture notes, Reference texts

3 Roots finding for system of nonlinear equations Lecture notes, Reference texts

4 Linear systems. LU factorization and pivoting. A method of finding the Lecture notes, Reference texts
inverse
5 Interpolation: Lagrangian basis functions and interpolation. Lecture notes, Reference texts

6 Curve fitting using least squares and splines Lecture notes, Reference texts

7 Errors in general. Round off, truncation, finite precision representation. Lecture notes, Reference texts
Machine epsilon.
8 Numerical differentiation : finite differencing schemes. Methods of vari- Lecture notes, Reference texts
ous order of h. Uneven schemes. Sizing of errors.
9 Numerical differentiation: error analysis. Trade-off between round off Lecture notes, Reference texts
and truncation. Optimal step size. Effect of noisy data on accuracy.
10 Numerical integration: basic techniques, sizing of errors. Lecture notes, Reference texts

11 Introduction to Matlab. Session aims at giving a jump start. Lecture notes, Reference texts

12 Matlab computing project (e.g. finding roots of the forward kinematics Lecture notes, Reference texts
for Stewart platform of a parallel robot)
th
13 Solutions of ordinary differential equations: Forward Euler, 4 order Lecture notes, Reference texts
Runge-Kutta. Initial conditions.
14 Solutions of ordinary differential equations: shooting method for bvp. Lecture notes, Reference texts

UM—PT01-PK03-BR004(BI)-S04