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  1. Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

  2. Let's find the general solution!

  3. Let's use some initial conditions to solve for the particular solution.

  4. Another example with initial conditions!

  5. This lecture is all about motion of projectiles (if air drag can be ignored). The objects experience a constant vertical acceleration due to the acceleration of gravity (see also Lecture 12). Professor Lewin reviews the equations for projectile motion, showing that the trajectory is a parabola. He continues with a demonstration that shows how to measure the initial speed of a projectile and how to reach maximum horizontal distance shooting...more

  6. U02_L2_T2_we1 Absolute Value Equations.

  7. U02_L2_T2_we1 : Absolute Value Equations 1.

  8. U02_L2_T2_we2 : Example of solving an absolute value equation.

  9. Advice for Applying Machine Learning, Debugging Reinforcement Learning (RL) Algorithm, Linear Quadratic Regularization (LQR), Differential Dynamic Programming (DDP), Kalman Filter & Linear Quadratic Gaussian (LQG), Predict/update Steps of Kalman Filter, Linear Quadratic Gaussian (LQG)

  10. An Application of Supervised Learning - Autonomous Deriving, ALVINN, Linear Regression, Gradient Descent, Batch Gradient Descent, Stochastic Gradient Descent (Incremental Descent), Matrix Derivative Notation for Deriving Normal Equations, Derivation of Normal Equations

  11. U07_L3_T3_we1 Applying Radical Equations 1.

  12. U07_L3_T3_we2 Applying Radical Equations 2.