Lecture 1 - Course Introduction
Lecture 2 - Basics of Programming using MATLAB
Lecture 3 - Array Operations in MATLAB
Lecture 4 - Loops and Execution Control
Lecture 5 - Tutorial: Using Arrays
Lecture 6 - MATLAB Files -- Scripts and Functions
Lecture 7 - Plotting and Output
Lecture 8 - How to submit MATLAB Assignment
Lecture 9 - Errors in Numerical Computation
Lecture 10 - Truncation Errors and Taylors Series
Lecture 11 - Round-Off Errors; and Iterative Methods
Lecture 12 - Step-wise Methods and Error Propagation
Lecture 13 - How to get MATLAB Online access (for all enrolled students of this course)
Lecture 14 - Differentiation in Single Variable
Lecture 15 - Higher Order Differentiation Formulae
Lecture 16 - Partial Differentials (Bonus)
Lecture 17 - Numerical Integration
Lecture 18 - Multiple Applications of Integration Formulae
Lecture 19 - In-Build MATLAB Integration Functions
Lecture 20 - Basics of Linear Algebra
Lecture 21 - Gauss Elimination and Back-Substitution
Lecture 22 - LU Decomposition and Partial Pivoting
Lecture 23 - Gauss Siedel Method
Lecture 24 - (Tutorial)
Lecture 25 - Tri-Diagonal Matrix Algorithm
Lecture 26 - Nonlinear Equations in Single Variable
Lecture 27 - Using MATLAB command fzero
Lecture 28 - Fixed Point Iteration in Single Variable
Lecture 29 - Newton-Raphson (single variable)
Lecture 30 - Using MATLAB command fsolve (multi-variable)
Lecture 31 - Newton-Raphson (multi Variable)
Lecture 32 - Introduction
Lecture 33 - Linear Least Squares Regression
Lecture 34 - Nonlinear and Functional Regression
Lecture 35 - Interpolation Functions in MATLAB
Lecture 36 - Introduction and Euler\'s Method
Lecture 37 - Runge-Kutta (RK-2) method
Lecture 38 - MATLAB ode45 algorithm
Lecture 39 - Higher order Runge-Kutta Methods
Lecture 40 - Error Analysis
Lecture 41 - Multi-Variable ODE
Lecture 42 - Stiff Systems & Solution using ode15s
Lecture 43 - Method of Lines for transient PDEs
Lecture 44 - A Final Example
Lecture 45 - Tutorial: How to do linear and nonlinear regression
