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gibson:teaching:spring-2014:math527:syllabus [2014/01/16 13:06] gibson created |
gibson:teaching:spring-2014:math527:syllabus [2014/04/14 12:57] (current) gibson |
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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. | 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. | 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. | + | Lectures without a specified topic are buffers for the inevitable lag. |
+ | Homeworks are due in recitation on most Thursdays. | ||
- | Please refer to policies for specifics on handing in homeworks, exam procedures, etc. | + | Please refer to [[gibson:teaching:spring-2014:math527:policies]] for specifics on handing in homeworks, exam procedures, etc. |
<code> | <code> | ||
- | date lecture reading homework | + | date lecture reading homework |
FIRST-ORDER DIFFERENTIAL EQUATIONS | FIRST-ORDER DIFFERENTIAL EQUATIONS | ||
- | W 01/22 intro, definitions 1 | + | W 01/22 intro, definitions 1 |
- | F 01/24 separable eqns 2.2 | + | F 01/24 separable eqns 2.2 |
- | M 01/27 1st order linear 2.3 | + | M 01/27 1st order linear 2.3 |
- | W 01/29 exact equations 2.4 HW1 | + | W 01/29 HW1 due Thurs 01/30 |
- | F 01/31 | + | F 01/31 exact equations 2.4 |
- | M 02/03 substitutions 2.5 | + | M 02/03 2.5 |
- | W 02/05 examples HW2 | + | W 02/05 substitutions HW2 due Thurs 02/06 |
- | F 02/07 review | + | F 02/07 review |
M 02/10 EXAM #1 | M 02/10 EXAM #1 | ||
HIGHER-ORDER DIFFERENTIAL EQUATIONS (linear, and mostly 2nd order) | HIGHER-ORDER DIFFERENTIAL EQUATIONS (linear, and mostly 2nd order) | ||
- | W 02/12 motivation, terminology | + | W 02/12 y=exp(lambda t) 4.3 |
- | F 02/14 y=exp(lambda t), Euler's formula 4.3 | + | F 02/14 Euler formula |
- | M 02/17 | + | M 02/17 |
- | W 02/19 judicious guessing (undet. coeff) 4.4 | + | W 02/19 judicious guessing (undet. coeff) 4.4 HW3 due Thurs 02/19 |
- | F 02/21 | + | F 02/21 |
- | M 02/24 4.6 HW3 | + | M 02/24 |
- | W 02/26 variation of parameters | + | W 02/26 variation of parameters 4.6 HW4 due Thurs 02/27 |
F 02/28 | F 02/28 | ||
- | M 03/03 HW4 | + | M 03/03 |
- | W 03/05 EXAM #2 | + | W 03/05 EXAM #2 |
- | F 03/07 boundary value problems | + | F 03/07 boundary value problems 4.1.1 |
- | M 03/10 spring break | + | (spring break) |
- | W 03/12 spring break | + | |
- | F 03/14 spring break | + | |
LAPLACE TRANSFORMS | LAPLACE TRANSFORMS | ||
- | M 03/24 definition, inverse transforms 7.1-2 | + | M 03/17 definition, inverse transforms 7.1-2 |
- | W 03/26 derivatives, solving ODEs | + | W 03/19 derivatives, solving ODEs |
- | F 03/28 s-translation 7.3.1 | + | F 03/21 s-translation 7.3.1 |
- | + | M 03/24 | |
- | M 03/31 t-translation (Heaviside func) 7.3.2 HW5 | + | W 03/26 t-translation (Heaviside func) 7.3.2 HW5 due Thurs 03/27 |
- | W 04/02 | + | F 03/28 |
- | F 04/04 Dirac delta function 7.5 | + | M 03/31 Dirac delta function 7.5 |
- | + | W 04/02 HW6 due Thurs 04/03 | |
- | M 04/07 periodic funcs 7.4.3 HW6 | + | F 04/04 convolution 7.4 |
- | W 04/09 convolution | + | M 04/07 EXAM #3 |
- | F 04/11 | + | |
- | M 04/14 EXAM #3 | + | |
- | + | ||
- | SERIES SOLUTIONS | + | |
- | W 04/16 power series review 6.1.1 | + | |
- | F 04/18 solutions about ordinary points 6.1.2 | + | |
- | M 04/21 regions of convergence | + | |
- | W 04/23 matrices and vectors AppII.1 HW7 | + | POWER SERIES SOLUTIONS |
- | F 04/25 Ax=b, determinants | + | W 04/09 power series review 6.1.1 |
- | M 04/28 ODEs in matrix form, eigenvalues 8.1 | + | F 04/11 power series solutions |
+ | M 04/14 | ||
+ | W 04/16 regions of convergence | ||
+ | F 04/18 | ||
- | W 04/30 real eigenvalues, distinct 8.2.1 HW8 | + | SYSTEMS OF DIFFERENTIAL EQUATIONS |
- | F 05/02 real eigenvalues, repeated 8.2.2 | + | M 04/21 matrices and vectors ApII.1 HW7 due Tues 04/22 |
- | M 05/05 complex eigenvalues 8.2.3 | + | W 04/23 Ax=b, determinants |
+ | F 04/25 ODEs in matrix form, eigenvalues 8.1 | ||
+ | M 04/28 real eigenvalues, distinct 8.2.1 | ||
+ | W 04/30 real eigenvalues, repeated 8.2.2 HW8 due Thurs 04/31 | ||
+ | F 05/02 complex eigenvalues 8.2.3 | ||
+ | M 05/05 | ||
</code> | </code> |