**This is an old revision of the document!** ----
This syllabus is subject to change. We will make every effort to keep to it, but snow days and other disruptions might require changes. **Do not make travel plans that would require you to miss class, particularly classes near exam dates.** Readings are sections in Zill First Course in Differential Equations with Modeling Applications, 10th edition. If you use another text, look up the lecture topic in the table of contents or index. Lectures without a specified topic are buffers for the inevitable lag. Homeworks are listed on their due dates. Please refer to [[gibson:teaching:spring-2014:math527:policies]] for specifics on handing in homeworks, exam procedures, etc. <code> date lecture reading homework FIRST-ORDER DIFFERENTIAL EQUATIONS W 01/22 intro, definitions 1 F 01/24 separable eqns 2.2 M 01/27 1st order linear 2.3 W 01/29 exact equations 2.4 F 01/31 HW1 M 02/03 substitutions 2.5 W 02/05 examples F 02/07 review HW2 M 02/10 EXAM #1 HIGHER-ORDER DIFFERENTIAL EQUATIONS (linear, and mostly 2nd order) W 02/12 y=exp(lambda t) 4.3 F 02/14 Euler formula M 02/17 W 02/19 judicious guessing (undet. coeff) 4.4 F 02/21 HW3 M 02/24 W 02/26 variation of parameters 4.6 F 02/28 HW4 M 03/03 W 03/05 EXAM #2 F 03/07 boundary value problems 4.1.1 (spring break) LAPLACE TRANSFORMS M 03/17 definition, inverse transforms 7.1-2 W 03/19 derivatives, solving ODEs F 03/21 s-translation 7.3.1 M 03/24 W 03/26 t-translation (Heaviside func) 7.3.2 F 03/28 HW5 M 03/31 Dirac delta function 7.5 W 04/02 F 04/04 convolution 7.4 HW6 M 04/07 EXAM #3 POWER SERIES SOLUTIONS W 04/09 power series review 6.1.1 F 04/11 power series solutions M 04/14 W 04/16 regions of convergence F 04/18 HW7 SYSTEMS OF DIFFERENTIAL EQUATIONS M 04/21 matrices and vectors ApII.1 W 04/23 Ax=b, determinants F 04/25 ODEs in matrix form, eigenvalues 8.1 HW8 M 04/28 real eigenvalues, distinct 8.2.1 W 04/30 real eigenvalues, repeated 8.2.2 F 05/02 complex eigenvalues 8.2.3 M 05/05 HW9 </code>
