INDIAN MARITIME UNIVERSITY KOLKATA CAMPUS-LIBRARY

Differential Equations and MATLAB by Gilbert Strang - Video Lectures

An Example of Method of Undetermined Coefficients

Big Picture - Derivatives

Big Picture of Calculus

Eigenvalues and Eigenvectors

Electrical Networks - Voltages and Currents

Forced Harmonic Motion

Impulse Response and Step Response

Incidence Matrices of Graphs

Integrating Factor for a Constant Rate

Integrating Factor for a Varying Rate

Laplace Transform - First Order Equation

Laplace Transform - Second Order Equation

Laplace Transforms and Convolution

Linearization at Critical Points

Linearization of y'=f(y,z) and z'=g(y,z)

Max and Min and Second Derivative

Overview of Differential Equations

Phase Plane Pictures - Spirals and Centers

Pictures of the Solutions

Response to Complex Exponential

Response to Exponential Input

Response to Oscillating Input

Second Order Equations With Damping

Second Order Equations

Separable Equations

Solution for Any Input

Step Function and Delta Function

The Big Picture of Linear Algebra

The Calculus You Need

The Column Space of a Matrix

The Exponential Function

The Logistic Equation

The Stability and Instability of Steady States

Two First Order Equations - Stability

Unforced Damped Motion

Wave Equation