ODE to .......

MA3264(Modelling Via ODE)

Detailed Course Outline

• Introduction: lecture 1 (Chapter 1 in the textbook)
  • What is a model
  • The procedure of mathematical modeling
  • A simple example

• Solutions of equations of one variable: lectures 2 (Chapter 2 in the textbook)
  • Introduction
  • The bisection method
  • Newton's method

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• Interpolation and polynomial approximation: lectures 3-6 (Chapter 3&8 in the textbook)
  • Introduction
  • Lagrange polynomial
  • Orthogonal polynomial approximation
  • Least square approximation
  • Trigonometric polynomial approximation
  • Fast Fourier transforms

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• Numerical integration and differentiation: lectures 7-10 (Chapter 4 in the textbook)
  • Introduction
  • Basic quadrature rules
  • Composite quadrature rules
  • Gaussian quadrature
  • Numerical differentiation

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• Numerical methods for solving linear systems: lectures 11-13 (Chapter 6 in the textbook)
  • Introduction
  • Gaussian elimination
  • Pivoting strategies
  • Techniques for special matrices: Thomas algorithm
  • Iterative methods
  
  

Huh? Is this Punjabi? My Linear Algebra sucks. So doing this is as good as jumping off from a 20 storey building. So if drop this and do 3110 instead, I need to wake up at 8am for 3 days.

And I've been sleeping at 5am everyday nowdays. Erm.

[itunes]: The Verve Pipe - Freshman