Weekly outline

• General
  
  

  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 1 File
• 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 2 File
• 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 3 File
• Week 4
  
  

  Week 4

  Covers the application in solving eigenvalues and eigenvectors using Polynomial method and Power method.

  • Week 4 File
• Week 5
  
  

  Week 5

  Covers properties and powers of complex number and Euler formula.

  • Week 5 File
• Week 6
  
  

  Week 6

  Covers loci in the complex number and function of a complex variable.

  • Week 6 File
• Week 7
  
  

  Week 7

  Covers Newton's Interpolating polynomials and Langrange Interpolating Polynomials (The content is the same as Chapter 4 in Numerical Methods)

  • Week 7 File