gibson:teaching:fall-2011:math527:syllabus
====== Differences ====== This shows you the differences between two versions of the page.
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
gibson:teaching:fall-2011:math527:syllabus [2011/08/26 08:12] gibson |
gibson:teaching:fall-2011:math527:syllabus [2011/11/10 12:14] (current) gibson |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| Readings are sections in Zill //First Course in Differential Equations | Readings are sections in Zill //First Course in Differential Equations | ||
| with Modeling Applications//, 9th edition. If you use another text, | with Modeling Applications//, 9th edition. If you use another text, | ||
| - | look up the lecture topic in the table of contents or index. | + | look up the lecture topic in the table of contents or index. |
| - | Lectures without a specified topic are buffers for the inevitable lag. | + | Lectures without a specified topic are buffers for the inevitable lag. |
| + | Homeworks in parentheses will not be collected or graded; however you | ||
| + | should do them as preparation for the exams. | ||
| - | Please refer to [[gibson:teaching:fall-2011:math527:policies]] for specifics on handing in homeworks, exam procedures, etc. | + | Please refer to [[gibson:teaching:fall-2011:math527:policies]] for |
| + | specifics on handing in homeworks, exam procedures, etc. | ||
| <code> | <code> | ||
| Line 11: | Line 14: | ||
| INTRO | INTRO | ||
| - | M 8/29 intro, pep talk | + | M 8/29 classes cancelled, hurricane irene |
| - | W 8/31 calc review, ODEs to know on sight (1) | + | W 8/31 what is a differential equation? (1, skim) |
| FIRST ORDER SYSTEMS | FIRST ORDER SYSTEMS | ||
| Line 20: | Line 23: | ||
| M 9/12 substitutions 2.5 | M 9/12 substitutions 2.5 | ||
| W 9/14 examples 3.1-2 | W 9/14 examples 3.1-2 | ||
| - | F 9/16 EXAM #1 (sample problems) | + | F 9/16 EXAM #1 (HW3) |
| HIGHER-ORDER SYSTEMS | HIGHER-ORDER SYSTEMS | ||
| M 9/19 motivation, terminology 4.1 | M 9/19 motivation, terminology 4.1 | ||
| W 9/21 y=exp(lambda t), Euler's formula 4.3 | W 9/21 y=exp(lambda t), Euler's formula 4.3 | ||
| - | F 9/23 under, critical, and overdamping 5.1 HW3 due | + | F 9/23 under, critical, and overdamping 5.1 HW4 due |
| M 9/26 | M 9/26 | ||
| W 9/28 judicious guessing (undet. coeff) 4.4 | W 9/28 judicious guessing (undet. coeff) 4.4 | ||
| - | F 9/30 HW4 due | + | F 9/30 HW5 due |
| M 10/03 variation of parameters 4.6 | M 10/03 variation of parameters 4.6 | ||
| W 10/05 | W 10/05 | ||
| - | F 10/07 EXAM #2 (sample problems) | + | F 10/07 EXAM #2 (HW6) |
| LAPLACE TRANSFORMS | LAPLACE TRANSFORMS | ||
| T 10/11 definition, inverse transforms 7.1-2 | T 10/11 definition, inverse transforms 7.1-2 | ||
| W 10/12 transform of derivative, IVPs 7.2 | W 10/12 transform of derivative, IVPs 7.2 | ||
| - | F 10/14 s-translation 7.3.1 HW5 due | + | F 10/14 s-translation 7.3.1 HW7 due |
| M 10/17 t-translation (Heaviside func) 7.3.2 | M 10/17 t-translation (Heaviside func) 7.3.2 | ||
| W 10/19 transforms: deriv, convolution 7.4.1-2 | W 10/19 transforms: deriv, convolution 7.4.1-2 | ||
| - | F 10/21 transforms: periodic funcs 7.4.3 HW6 due | + | F 10/21 transforms: periodic funcs 7.4.3 HW8 due |
| M 10/24 Dirac delta function 7.5 | M 10/24 Dirac delta function 7.5 | ||
| W 10/26 | W 10/26 | ||
| - | F 10/28 EXAM #3 (sample problems) | + | F 10/28 EXAM #3 (HW9) |
| SERIES SOLUTIONS | SERIES SOLUTIONS | ||
| M 10/31 power series review 6.1.1 | M 10/31 power series review 6.1.1 | ||
| W 11/02 solutions about ordinary points 6.1.2 | W 11/02 solutions about ordinary points 6.1.2 | ||
| - | F 11/04 regions of convergence HW7 due | + | F 11/04 regions of convergence |
| M 11/07 solutions about singular points 6.2 | M 11/07 solutions about singular points 6.2 | ||
| - | W 11/09 bessel functions 6.3.1 | + | W 11/09 bessel functions 6.3.1 HW10 due (Thu 11/10 in recitation) |
| - | F 11/11 legendre polynomials 6.3.2 HW8 due | + | F 11/11 legendre polynomials 6.3.2 |
| SYSTEMS OF EQUATIONS | SYSTEMS OF EQUATIONS | ||
| M 11/14 matrices and vectors AppII.1 | M 11/14 matrices and vectors AppII.1 | ||
| W 11/16 Ax=b, determinants | W 11/16 Ax=b, determinants | ||
| - | F 11/18 ODEs in matrix form, eigenvalues 8.1 HW9 due | + | F 11/18 ODEs in matrix form, eigenvalues 8.1 HW11 due |
| M 11/21 real eigenvalues, distinct 8.2.1 | M 11/21 real eigenvalues, distinct 8.2.1 | ||
| - | W 11/23 real eigenvalues, repeated 8.2.2 HW10 due | + | W 11/23 real eigenvalues, repeated 8.2.2 HW12 due |
| (thanksgiving) | (thanksgiving) | ||
| M 11/28 complex eigenvalues 8.2.3 | M 11/28 complex eigenvalues 8.2.3 | ||
| W 11/30 | W 11/30 | ||
| - | F 12/02 EXAM #4 (sample problems) | + | F 12/02 EXAM #4 (HW13) |
| NUMERICAL METHODS | NUMERICAL METHODS | ||
| M 12/05 Euler method 9.1 | M 12/05 Euler method 9.1 | ||
| W 12/07 Runge-Kutta 9.2 | W 12/07 Runge-Kutta 9.2 | ||
| - | F 12/09 Lorenz system HW11 due | + | F 12/09 Lorenz system HW14 due |
| </code> | </code> | ||
gibson/teaching/fall-2011/math527/syllabus.1314371547.txt.gz · Last modified: 2011/08/26 08:12 by gibson
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 3.0 Unported
