Educator Mathematics Differential Equations with Professor Murray

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Mathematics: Differential Equations with Professor Murray
English | flv | VP6 672x608, 320x240 | MP3 2 ch 128 kbps | 16.05 GB
eLearning


Table of Contents

I. First-Order Equations
Linear Equations 1:07:21
Separable Equations 35:11
Slope & Direction Fields 1:11:36
Applications, Modeling, & Word Problems of First-Order Equations 1:05:19
Autonomous Equations & Phase Plane Analysis 1:01:20

II. Second-Order Equations
Distinct Roots of Second Order Equations 28:44
Complex Roots of Second Order Equations 31:49
Repeated Roots & Reduction of Order 43:02
Undetermined Coefficients of Inhomogeneous Equations 50:01
Inhomogeneous Equations: Variation of Parameters 49:22

III. Series Solutions
Review of Power Series 57:38
Series Solutions Near an Ordinary Point 1:20:28
Euler Equations 24:42
Series Solutions 1:20:26

IV. Laplace Transform
Laplace Transforms 41:52
Inverse Laplace Transforms 47:05
Laplace Transform Initial Value Problems 45:15

V. Review of Linear Algebra
Review of Linear Algebra 57:30

VI. Systems of Equations
Distinct Real Eigenvalues 59:26
Complex Eigenvalues 1:03:54
Repeated Eigenvalues 45:17

VII. Inhomogeneous Systems
Undetermined Coefficients for Inhomogeneous Systems 43:37
Variation of Parameters for Inhomogeneous Systems 1:08:12

VIII. Numerical Techniques
Euler's Method 45:30
Runge-Kutta & The Improved Euler Method 41:04

IX. Partial Differential Equations
Review of Partial Derivatives 38:22
The Heat Equation 44:40
Separation of Variables 57:44
Fourier Series 1:24:33
Solution of the Heat Equation 47:41

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