Videos for Elementary Differential Equations with Linear Algebra

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. Linear Differential Systems
24. Homogeneous Systems and the Fundamental Matrix
25. Complex and Deficient Eigenvalues
26. Nonhomogeneous Systems