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September 23, 2023

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Description

Res. 18-009 - Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (Fall 2015, MIT OCW).

Instructors: Prof. Gilbert Strang and Dr. Cleve Moler. This is an in-depth series of videos about differential equations and the MATLAB ODE suite. These videos are suitable for students and life-long learners to enjoy. (from ocw.mit.edu)

Course Curriculum

    • Lecture 01 – Overview of Differential Equations Unlimited
    • Lecture 02 – The Calculus You Need Unlimited
    • Lecture 03 – Response to Exponential Input Unlimited
    • Lecture 04 – Response to Oscillating Input Unlimited
    • Lecture 05 – Solution for Any Input Unlimited
    • Lecture 06 – Step Function and Delta Function Unlimited
    • Lecture 07 – Response to Complex Exponential Unlimited
    • Lecture 08 – Integrating Factor for Constant Rate Unlimited
    • Lecture 09 – Integrating Factor for a Varying Rate Unlimited
    • Lecture 10 – The Logistic Equation Unlimited
    • Lecture 11 – The Stability and Instability of Steady States Unlimited
    • Lecture 12 – Separable Equations Unlimited
    • Lecture 13 – Second Order Equations Unlimited
    • Lecture 14 – Forced Harmonic Motion Unlimited
    • Lecture 15 – Unforced Damped Motion Unlimited
    • Lecture 16 – Impulse Response and Step Response Unlimited
    • Lecture 17 – Exponential Response – Possible Resonance Unlimited
    • Lecture 18 – Second Order Equations with Damping Unlimited
    • Lecture 19 – Electrical Networks: Voltages and Currents Unlimited
    • Lecture 20 – Method of Undetermined Coefficients Unlimited
    • Lecture 21 – An Example of Undetermined Coefficients Unlimited
    • Lecture 22 – Variation of Parameters Unlimited
    • Lecture 23 – Laplace Transform: First Order Equation Unlimited
    • Lecture 24 – Laplace Transform: Second Order Equation Unlimited
    • Lecture 25 – Laplace Transforms and Convolution Unlimited
    • Lecture 26 – Pictures of Solutions Unlimited
    • Lecture 27 – Phase Plane Pictures: Source, Sink, Saddle Unlimited
    • Lecture 28 – Phase Plane Pictures: Spirals and Centers Unlimited
    • Lecture 29 – Two First Order Equations: Stability Unlimited
    • Lecture 30 – Linearization at Critical Points Unlimited
    • Lecture 31 – Linearization of Two Nonlinear Equations Unlimited
    • Lecture 32 – Eigenvalues and Stability: 2 by 2 Matrix, A Unlimited
    • Lecture 33 – The Tumbling Box in 3-D Unlimited
    • Lecture 34 – The Column Space of a Matrix Unlimited
    • Lecture 35 – Independence, Basis, and Dimension Unlimited
    • Lecture 36 – The Big Picture of Linear Algebra Unlimited
    • Lecture 37 – Graphs Unlimited
    • Lecture 38 – Incidence Matrices of Graphs Unlimited
    • Lecture 39 – Eigenvalues and Eigenvectors Unlimited
    • Lecture 40 – Diagonalizing a Matrix Unlimited
    • Lecture 41 – Powers of Matrices and Markov Matrices Unlimited
    • Lecture 42 – Solving Linear Systems Unlimited
    • Lecture 43 – The Matrix Exponential Unlimited
    • Lecture 44 – Similar Matrices Unlimited
    • Lecture 45 – Symmetric Matrices, Real Eigenvalues, Orthogonal Eigenvectors Unlimited
    • Lecture 46 – Second Order Systems Unlimited
    • Lecture 47 – Positive Definite Matrices Unlimited
    • Lecture 48 – Singular Value Decomposition (the SVD) Unlimited
    • Lecture 49 – Boundary Conditions Replace Initial Conditions Unlimited
    • Lecture 50 – Laplace Equation Unlimited
    • Lecture 51 – Fourier Series Unlimited
    • Lecture 52 – Examples of Fourier Series Unlimited
    • Lecture 53 – Fourier Series Solution of Laplace’s Equation Unlimited
    • Lecture 54 – Heat Equation Unlimited
    • Lecture 55 – Wave Equation Unlimited

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