Final friday december 13 2013 1130 am 230 pm open book

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Unformatted text preview: : Friday, December 13, 2013, 11:30 AM - 2:30 PM. Open book and notes. MAE 182A: Mathematics of Engineering Fall 2013 Ordinary Differential Equations Course Outline 1. Introduction to Differential Equations Basics of differential equations Solution of some differential equations Classifications of differential equations 2. First Order Differential Equations Linear equations (method of integrating factors & variation of parameters) Nonlinear equations 3. Second Order Linear Differential Equations Homogeneous equations with constant coefficients Characteristic equation No homogeneous equations, method of undetermined coefficients Variation of Parameters Series solutions 4. Systems of First Order Linear Equations Review of matrices, eigenvalues, eigenfunctions Homogeneous and no homogeneous linear systems with constant coefficients 5. Higher Order Linear Differential Equations Homogeneous equations with constants coefficients The methods of undetermined coefficients and variation of parameters MAE 182A: Mathematics of Engineering Ordinary Differential Equations 6. Nonlinear Differential equations Concepts of stability Steady state solutions Introduction to bifurcation theory 7. Other Topics Laplace transform and initial value problem Introduction to boundary value problem Introduction to Numerical Methods Fall 2013...
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This note was uploaded on 02/18/2014 for the course MECH&AE 182A taught by Professor Chatterjee during the Fall '10 term at UCLA.

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