Videos for Elementary Differential Equations with Linear Algebra

     UNDER CONSTRUCTION
     Videos 13 and x > 22 do not exist yet.

Technical difficulties... A few file-name problems have been fixed. || Currently crashing Safari 3.1.2 / QT 7.5 in OSX 10.4 (Tiger). However Firefox plays the videos fine. Weird. || Update: Okay, this seems to be specific to the computer. Still strange...

    Introduction

  1. Introductory Terminology and Concepts

    First-order DEs

  2. Linear First-order Equations
  3. Applications Involving Linear First-order Equations
  4. Separable Equations and Applications
  5. Direction Fields and Numerical Approximation
  6. Existence and Uniqueness

    Linear Second- and Higher-order DEs

  7. Linear Second-order Equations 1 - Fundamentals
  8. Linear Second-order Equations 2 - Homogeneous Equations with Constant Coefficients
  9. Linear Second-order Equations 3 - Nonhomogeneous Equations
  10. Linear Second-order Equations 4 - Nonhomogeneous Equations with Constant Coefficients
  11. Mechanical Vibrations 1 - Unforced Motion
  12. Mechanical Vibrations 2 - Forced Vibrations and Frequency Response
  13. Linear nth-order Equations

    Laplace Transforms

  14. The Laplace Transform 1
  15. The Laplace Transform 2
  16. The Laplace Transform 3 - Piecewise-defined Functions

    Linear Algebra

  17. Linear Algebraic Equations I
  18. Linear Algebraic Equations II
  19. Vectors and Matrices
  20. Matrix Algebra
  21. Determinants
  22. Matrix Eigenvalue Problems

    Linear Differential Systems

  23. Homogeneous Systems
  24. Homogeneous Systems with Constant Coefficients
  25. The Matrix Exponential
  26. Nonhomogeneous Systems
  27. Nonautonomous Systems