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Differential Equations – MATH/MTHE 225

Calendar Description: Introduction to ordinary differential equations and their applications to the natural and engineering sciences.  Specific topics include first order differential equations, linear differential equations with constant coefficients, and applications, Laplace transforms, systems of linear equations.

Week 1 – Integration, Separation of Variables

Week 2 – First Order Linear DEs, Applications

Week 3 – Second-Order Homogeneous DEs

Week 4 – Higher-Order DEs, Applications

Week 5 – Nonhomogeneous Linear DEs

Week 6 – Laplace Transforms – Introduction

Week 7 – Laplace – Step Functions, DE Solutions

Week 8 – Applications with Laplace

Week 9 – DEs with Non-Constant Coefficients, Laplace Resonance

Week 10 – Systems of DEs

Week 11 – Complex Eigenvalues, Applications of Systems

Week 12 – Interpreting System Solutions, Inducing Modes of Response