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Topics Involve Linear & Nonlinear, Homogeneous & Nonhomogeneous Differential Equations
Introduction to Differential Equations
First Order Linear Differential Equations, Integrating Factor
Existence and Uniqueness of Solutions / Exact
Differential Eqs
Phase Diagrams for Autonomous Differential Equations
Slope Fields, Solution Curves, and Semi-stable Equilibrium Solutions
Separable Differential Equations/ Growth and Decay Applications
Approximate Methods for First Order Differential Equations
First Order Nonlinear Differential Equations
Related Rate Applications
Existence and Uniqueness of Solutions of Linear Second Order Differential Equations
Basics of 2nd Order, Ordinary Differential Equations/
Method of Reduction
Particular Solutions of Non-homogeneous Differential Equations
Mechanical Vibrations
Method of Variation of Parameters
Initial Value, Boundary Value, and Eigenvalue Problems
Fourier Series
Heat Conduction in a Thin Rod
1-D Wave Equation/String Vibrations
Dirichlet Applications - Heat Conduction in a Plate
Overview of
Boundary Value
Applications
Steady Periodic Vibrations
Sturm-Liouville Applications
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