Weekly outline
- General
- Week 1
Week 1
Covers basic operation on vectors and matrices, properties of matrix multiplication, determinants and inverse matrix, adjoint and co-factor matrices - Week 2
Week 2
Covers introduction to a linear system, Gauss Elimination. LU Decomposition and Gauss Seidel method to solve a linear system (The content is the same as Chapter 3 in Numerical methods)
- Week 3
Week 3
Covers Bisection method, Simple Fixed-Point iteration and Newton Raphson for solution of non-linear equations (The content is the same as Chapter 2 in Numerical Methods)
- Week 4
Week 4
Covers the application in solving eigenvalues and eigenvectors using Polynomial method and Power method.
- Week 5
Week 5
Covers properties and powers of complex number and Euler formula.
- Week 6
Week 6
Covers loci in the complex number and function of a complex variable.
- Week 7
Week 7
Covers Newton's Interpolating polynomials and Langrange Interpolating Polynomials (The content is the same as Chapter 4 in Numerical Methods)