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Res. 18-009 - Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler (Fall 2015, MIT OCW).
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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 Currilcum
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- Lecture 01 – Overview of Differential Equations Unlimited
- Lecture 02 – The Calculus You Need Unlimited
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- 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 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 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
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