Matlab Programming for Numerical Computation 

Lecture 1-1 Basics of MATLAB programming

Lecture 1-2 Array operations in MATLAB

Lecture 1-3 Loops and execution control

Lecture 1-4 Working with files: Scripts and Functions

Lecture 1-5 Plotting and program output

Lecture 2-1 Defining errors and precision in numerical methods

Lecture 2-2 Truncation and round-off errors

Lecture 2-3 Error propagation, Global and local truncation errors

Lecture 3-1 Numerical Differentiation in single variable

Lecture 3-2 Numerical differentiation: Higher derivatives

Lecture 3-3 Differentiation in multiple variables

Lecture 3-4 Newton-Cotes integration formulae

Lecture 3-5 Multi-step application of Trapezoidal rule

Lecture 4-1 Linear algebra in MATLAB

Lecture 4-2 Gauss Elimination

Lecture 4-3 LU decomposition and partial pivoting

Lecture 4-4 Iterative methods: Gauss Siedel

Lecture 4-5 Special Matrices: Tri-diagonal matrix algorithm

Lecture 5-1 Nonlinear equations in single variable

Lecture 5-2 MATLAB function fzero in single variable

Lecture 5-3 Fixed-point iteration in single variable

Lecture 5-4 Newton-Raphson in single variable

Lecture 5-5 MATLAB function fsolve in single and multiple variables

Lecture 5-6 Newton-Raphson in multiple variables