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Lectures and Examples Introduction to Numerical Analysis:
Lecture 1
Lecture 2

Root-Finding: (outline)
Lecture 3    bisection example
Lecture 4    Newton example
Lecture 5    1/A example
Lecture 6    Aitken example Muller example
Lecture 7    Wilkinson example
Lecture 8    contour plot example    Newton 2D example   1/A in 2D example

Optimisation:
Lectures 9 and 10  Golden section search example

Interpolation   (Outline)
Lectures 11 and 12  Lagrange polynomial example  Newton polynomial example   Newton-Gregory example
Lecture 13  (Newton-Gregory interpolation)

Least Squares data fitting (Outline)
Lectures 15-16  (Least Squares)

Numerical Differentiation
Lecture 17  accuracy and errors example

Numerical Integration
Lecture 18  Integration example
Lecture 19  Romberg example

Differential Equations
Lectures 20-21 
Euler method example:   (MCD)  (matlab)  Euler.m 
Heun method example:   (MCD)  (matlab)  Heun.m 
Runge-Kutta method examples:   (MCD)  RK4.m
Lecture 22 

Fourier Transform
Lecture 23  

Weekly Exercises

Practice Questions