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COURSE INFORMATION FOR CURRENT SEMESTER/TERM

Techning Schedule

References/Teaching
Week Lecture Topics/Tutorial/Assignment
Materials
1 Taylor’s Series and Taylor’s Theorem. Truncation error. Big O Lecture notes, Reference
notation 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 find- Lecture notes, Reference
ing the inverse texts

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 repre- Lecture notes, Reference
sentation. Machine epsilon. texts

8 Numerical differentiation : finite differencing schemes. Methods Lecture notes, Reference
of various order of h. Uneven schemes. Sizing of errors. texts

9 Numerical differentiation: error analysis. Trade-off between Lecture notes, Reference
round off and truncation. Optimal step size. Effect of noisy data texts
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 kine- Lecture notes, Reference
matics for Stewart platform of a parallel robot) texts

th
13 Solutions of ordinary differential equations: Forward Euler, 4 Lecture notes, Reference
order Runge-Kutta. Initial conditions. texts

14 Solutions of ordinary differential equations: shooting method for Lecture notes, Reference
bvp. texts

UM—PT01-PK03-BR004(BI)-S04