Video displays for MA 345 -  2022

Lesson 1 - Separation of Variables

Lesson 2 - Applications of Separation of Variables

Lesson 3, 4 - Exact Differentials, Integrating Factors

Lesson 5 - Special Substitutions

Lesson 6 - First Order Linear Intro

Lesson 7 - The Skydiver Problem

Lesson 8 - Additional Problems - cooling and circuit

Lesson 9 - Tank

Lesson 10 - Matrix Algebra

Lesson 11 - Matrix Reduction

Lesson 12 - Matrix Reduction Examples

Lesson 13 - Matrix Multiplication and Definition of Inverse

Lesson 14 - Calculation of Matrix Inverses

Lesson 15 - Linear Dependence and Invertibility

Lesson 16 - Determinants

Lesson 17 - Projection and Reflection.  Introduction to Eigenvectors

Lesson 18 - Calculation of Eigenvalues and Eigenvectors

Lesson 19 - Diagonal Matrices

Lesson 20 - Matrix Differential Equations

Lesson 21 - Higher Order Homogeneous Differential Equations

Lesson 22 - The Distinct Root Case

Lesson 23 - The Exponential Shift Theorem

Lesson 24 - The Repeated Root Case

Lesson 25 - Imaginary Numbers

Lesson 26 - The Imaginary Root Case

Lesson 27 - The Complex Root Case

Lesson 28 - Spring - General

Lesson 29 - Complex Multiplications

Lesson 30 - Nonhomogeneous

Lesson 31 - Method of Undetermined Coefficients

Lesson 32 - Annihilators

Lesson 33 - Forced Vibrations

Lesson 34 - Resonance

Lesson 35 - The Variation of Parameters Formula

Lesson 36 - Variation of Parameters Examples

Lesson 37 - Computation of Laplace Transforms - 1st Lesson

Lesson 38 - Computation of Laplace Transforms - 2nd Lesson

Lesson 39 - Inverse Laplace Transforms

Lesson 40 - Laplace Transform Solution of Homogeneous Equations

Lesson 41 - Laplace Transform Solutions of Nonhomogeneous Equations

Lesson 42 - Introduction to the Unit Step Function

Lesson 43 - Unit Step Function Examples

Lesson 44 - Unit Impulse

Lesson 45 - Dirac-Delta Function

Lesson 46 - The Convolution Theorem

Lesson 47 - Series Solutions

Lesson 48 - The Variable Coefficient Problem