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====== Syllabus, Math 527 spring 2015, UNH ======

1. This syllabus is subject to change. We will make every effort to keep to it, but snow days and other disruptions might require changes. 

2. **Exam dates are inviolable, unless the university officially closes due to snow or other emergency.** 
Do not expect that you can make up an exam if you miss it. Do not make travel plans that would cause you to miss a scheduled exam or miss class the Friday after a scheduled exam --that would be the make-up date for a canceled exam. 

3. Readings are sections in Zill First Course in Differential Equations with Modeling Applications, 10th edition. If you use another text, find the relevant reading using the table of contents or index.

4. Lectures without a specified topic are buffers for the inevitable lag. 

5. Homeworks are due in recitation on most Tuesdays, except homeworks 7, 10, and 11, which are due in recitation on Thursday.

6. Please refer to [[gibson:teaching:spring-2015:math527:policies]] for specifics on handing in homeworks, exam procedures, etc.

<code>
date      lecture                     reading  homework

FIRST-ORDER DIFFERENTIAL EQUATIONS
Wed 01/21 what's it all about 		  1
Fri 01/23 separable eqns		  2.2
Mon 01/26					 HW1 due Tue 01/27
Wed 01/28 1st order linear		  2.3	
Fri 01/30 
Mon 02/02 exact eqns			  2.4	 HW2 due Tue 02/03
Wed 02/04					
Fri 02/06 substitutions			  2.5	
Mon 02/09 					 HW3 due Tue 02/10
Wed 02/11 EXAM #1 

HIGHER-ORDER DIFFERENTIAL EQUATIONS
Fri 02/13 y=exp(lambda t) is your friend  4.3
Mon 02/16 Euler formula	       		         HW4 due Tue 02/17
Wed 02/18 reduction of order              4.2					
Fri 02/20 judicious guessing		  4.4
Mon 02/23					 HW5 due Tue 02/24
Wed 02/25 
Fri 02/27 variation of parameters	  4.6
Mon 03/02					 HW6 due Tue 03/03
Wed 03/04 power series			  6.1
Fri 03/06                                 6.2
Mon 03/09					 HW7 due Tue 03/10 	       				
Wed 03/11 EXAM #2			       
Fri 03/13 don't miss this important lecture

(spring break)

LAPLACE TRANSFORMS
Mon 03/23 definitions, examples		7.1
Wed 03/25 derivatives, solving ODEs	7.2	
Fri 03/27 s-translation			7.3.1
Mon 03/30                                        HW8 due Tue 03/31
Wed 04/01 t-translation (Heaviside)     7.3.2
Fri 04/03
Mon 04/06 Dirac delta		        7.5      HW9 due Tue 04/07
Wed 04/08					
Fri 04/10 convolution                   7.4
Mon 04/13					 HW10 due Tue 04/14
Wed 04/15 EXAM #3

SYSTEMS OF DIFFERENTIAL EQUATIONS
Fri 04/17 matrices and vectors	        AppII.1
Mon 04/20 Ax=b, determinants
Wed 04/22 ODEs in matrix form		8.1	 HW11 due Thu 04/23		
Fri 04/24 real eigenvalues, distinct	8.2.1	
Mon 04/27 real eigenvalues, repeated	8.2.2	
Wed 04/29 complex eigenvalues           8.2.3    HW12 due Thu 04/30
Fri 05/01 
Mon 05/04 
</code>
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