MATH 219: Introduction to Differential Equations

Weekly outline

• 

  General

  • Announcements Forum
• 

  11 March - 17 March

  • Video 1 - Introduction, Direction Fields File
  • Video 2 - Separable and Homogeneous Equations File
  • Video 3 - First order Linear Equations File
  • Lecture 1 File
  • Lecture 2 File
• 

  18 March - 24 March

  • Video 4 - Modeling with First Order Equations File
  • Video 5 - Differences Between Linear and Nonlinear Equations File
  • Lecture 3 File
  • Lecture 4 File
• 

  25 March - 31 March

  • Video 6 - Exact Equations and Integrating Factors File
  • Video 7 - Systems of first order ODEs Intro File
  • Lecture 5 File
  • Lecture 6 File
• 

  1 April - 7 April

  • Video 8 - Systems of linear algebraic equations - I File
  • Video 9 - Systems of linear algebraic equations - II File
  • Video 10 - Eigenvalues and eigenvectors, Linear independence File
  • Lecture 7-8 File
• 

  8 April - 14 April

  • Video 11 - Basis theory of systems of first order linear ODEs File
  • Video 12 - Complex eigenvalues File
  • Lecture 9 File
  • Lecture 10 File
• 

  15 April - 21 April

  • Video 13 - Repeated eigenvalues and fundamental matrices File
  • Video 14 - Repeated eigenvalues and matrix exponentials File
  • Video 15 - Repeated eigenvalues and Jordan form File
  • Video 16 - Repeated eigenvalues, derivation of solutions File
  • Video 17 - Non Homogeneous Systems File
  • Lecture 11 File
  • Lecture 12 File
• 

  22 April - 28 April

  • Video 18 - Higher order linear ODEs, Introduction File
  • Video 19 - Higher order linear ODEs, General Theory - I File
  • Video 20 - Higher order linear ODEs, General Theory - II File
  • Video 21 - Higher order linear homogeneous constant coefficient ODEs - I File
  • Video 22 - Higher order linear homogeneous constant coefficient ODEs - II File
  • Video 23 - Higher order linear homogeneous constant coefficient ODEs - III File
  • Lecture 13 File
  • Lecture 14 File
• 

  29 April - 5 May

  • Video 24 - The method of undetermined coefficients - I File
  • Video 25 - The method of undetermined coefficients - II File
  • Video 26 - Variation of parameters File
  • Lecture 15 File
  • Lecture 16 File
• 

  6 May - 12 May

  • Video 27 - Mechanical Vibrations File
  • Video 28 - Forced Vibrations File
  • Video 29 - Review of Power Series File
  • Video 30 - Series solutions about an ordinary point - I File
  • Video 31 - Series solutions about an ordinary point - II File
  • Lecture 17 File
  • Lecture 18 File
• 

  13 May - 19 May

  • Video 32 - Regular singular points and Euler Equations File
  • Video 33 - Series solutions about a regular singular point File
  • Lecture 19 File
  • Lecture 20 File
• 

  20 May - 26 May

  • Video 34 - Laplace Transform File
  • Video 35 - Solutions of IVPs using Laplace Transform File
  • Video 36 - Step Functions File
  • Lecture 21 File
  • Lecture 22 File
• 

  27 May - 2 June

  • Video 37 - IVPs with discontinuous forcing terms. Impulse functions File
  • Video 38 - Impulse functions. Introduction to Convolution File
  • Video 39 - Convolution File
  • Lecture 23 File
  • Lecture 24 File
• 

  3 June - 9 June

  • Video 40 - Heat equation and separation of variables File
  • Video 41 - Boundary value problems - Fourier Series File
  • Video 42 - Fourier Convergence Theorem File
  • Video 43 - Even & odd extensions File
  • Lecture 25 File
  • Lecture 26 File
• 

  10 June - 16 June