MA 221 SYLLABUS for 10S

  Topics  Week   Related Sections 
Solutions of DEs, IVP's, Separable Equations  1 1.1, 1.2, 2.2 
Linear and Exact Equations 2 2.3, 2.4, 2.6 (Bernoulli Equation) 
Differential Operators, Properties of Solutions  Constant Coefficient DEs     3 4.1, 6.1, 4.2
Constant Coefficient DEs (continued) 4 4.2, 4.3 
Undetermined Coefficients  5 4.4, 4.5 
Variation of Parameters, Cauchy-Euler Equation 6 4.6, 8.5
Laplace Transforms
7
7.2, 7.3
Solving second order D.E.'s with Laplace Transforms
8
7.4, 7.5
Review of infinite series, Taylor series, Taylor series method  9 8.2 
Series solution near an ordinary point, Eigenvalues and Eigenfunctions 
10
 8.3, 11.2
Orthogonal expansions, Fourier cosine and sine series  11 10.3 , 10.4 
 Separation of variables 12 10.2
Wave and Heat Equations  13 10.6, 10.5 
Review 14  

Text: Fundamentals of Differential Equations and Boundary Value Problems, Fifth Edition by R. Kent Nagle,  Edward B. Saff, and Arthur David Snider. The book is published by Addison Wesley. ISBN: 13: 978-0-321-61321-9   ISBN: 10: 0-321-61321-X.

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