Video Lectures (2020-1 Fall Semester)

  1. Video 1 Introduction, Direction Fields
  2. Video 2 Separable and Homogeneous Equations
  3. Video 3 First order Linear Equations
  4. Video 4 Modeling with First Order Equations
  5. Video 5 Differences Between Linear and Nonlinear Equations
  6. Video 6 Exact Equations and Integrating Factors
  7. Video 7 Systems of First Order ODE’s
  8. Video 8 System of Linear Algebraic Equations (part 1)
  9. Video 9 System of Linear Algebraic Equations (part 2)
  10. Video 10 Eigenvalues and eigenvectors, Linear independence
  11. Video 11 Basis theory of systems of first order linear ODEs
  12. Video 12 Complex Eigenvalue
  13. Video Lecture 13: Repeated Eigenvalues and Fundamental Matrices (Part 1)
  14. Video Lecture 14: Repeated Eigenvalues and Fundamental Matrices (Part 2)
  15. Video Lecture 15: Repeated Eigenvalues, Jordan Form
  16. Video Lecture 16: Repeated Eigenvalues, Solution
  17. Video Lecture 17: Nonhomogeneous Systems
  18. Video Lecture 18: Higher Order Linear Equations (Part 1)
  19. Video Lecture 19: Higher Order Linear Equations (Part 2)
  20. Video Lecture 20: Higher Order Linear Equations (Part 3)
  21. Video Lecture 21: Higher Order Linear Equations (Part 4)
  22. Video Lecture 22: Higher Order Linear Equations (Part 5)
  23. Video Lecture 23: Higher Order Linear Equations (Part 6)
  24. Video Lecture 24: Method of Undetermined Coefficients (Part 1)
  25. Video Lecture 25: Method of Undetermined Coefficients (Part 2)
  26. Video Lecture 26: Variation of Parameters
  27. Video Lecture 27: Mechanical Vibrations
  28. Video Lecture 28: Forced Vibrations
  29. Video Lecture 29: Review of Power Series
  30. Video Lecture 30: Series Solutions Near an Ordinary Point, I
  31. Video Lecture 31: Series Solutions Near an Ordinary Point, II
  32. Video Lecture 32: Regular Singular Points and Euler Equation
  33. Video Lecture 33: Series Solutions Near a Regular Singular Point
  34. Video Lecture 34: Laplace Transform
  35. Video Lecture 35: Solving Initial Value Problems Using Laplace Transform
  36. Video Lecture 36: Step Functions
  37. Video Lecture 37: Differential Equations with Discontinuous Forcing Functions
  38. Video Lecture 38: Impulse Function and Convolution
  39. Video Lecture 39: Convolution
  40. Video Lecture 40: Heat Equation and Separation of Variables
  41. Video Lecture 41: Fourier Series
  42. Video Lecture 42: Fourier Convergence Theorem
  43. Video Lecture 43: Even and Odd Extensions