Math 322 - Applied Differential Equations II

Units: Background Material Concepts and techniques from differential equations, calculus and linear algebra that we'll use. Course Preview Solving second order, linear, constant coefficient, homogeneous equations using the Laplace transform, power series, and systems of equations. Power Series Solutions Solving ODEs at at ordinary points and regular singular points using power series and the method of Frobenius. Solving ODEs with the Laplace Transform Solving ODEs using the Laplace transform. Piecewise defined forcing functions, the unit impulse and convolution. Systems of Linear ODEs Solving systems of first order, linear, constant coefficient ODEs and IVPs. Reducing higher order equations to first order systems.

Additional Resources: Syllabus Formula Sheet Schedule This gives suggested or required activities for each class meeting. Here are some videos over some of the material for Exam 3. Drumheads and Bessel Functions This gives some links to sites with information about vibrating strings, vibrating drumheads and Bessel functions. Online Computational tools Phase Plane Plotter Wolfram Laplace transform calculator Wolfram inverse Laplace transform calculator Wolfram 2 by 2 eigenvalue/eigenvector calculator Wolfram 3 by 3 eigenvalue/eigenvector calculator Eigenvalue/Eigenvector Calculator Math 321 Review Overview An Initial Exploration Homogeneous Equations with Constant Coefficients Particular Solutions, Part One Initial Value Problems Particular Solutions, Part Two

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