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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>
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