| lecture | topic | lecture notes | practice problems (book) | homework | comments |
| jan 14 | welcome | § 1.3: 1-5, 7, 9, 11, 14, 15, 21-23 | hw1 | ||
| jan 16 | separable eqns | § 2.2: 1, 2, 8, 10, 12, 16, 18, 19, 23, 25 |
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| jan 17 | linear eqns | § 2.1: 1, 3, 4c, 7c, 8c, 12c, 13, 16, 19, 28, 29 | |||
| jan 18 | modeling | § 2.3: 2, 3, 5, 6, 8, 10, 13, 14 | |||
| jan 23 | more models | § 2.3: 15, 21-24, 29 | hw2 | hw1 sols | |
| jan 24 | autonomous eqns | § 2.5: 1, 3, 4, 9, 10, 12, 22 | |||
| jan 25 | intervals of validity | § 2.4: 1, 3, 5, 7, 10 | |||
| jan 28 | exact eqns | § 2.6: 1, 3, 9, 11, 15 | |||
| jan 30 | second order eqns | hw3 | hw2 sols | ||
| jan 31 | distinct roots | § 3.1: 1, 3, 5, 8, 10, 12, 15, 16, 20, 23, 24 | |||
| feb 1 | complex, repeatedroots | § 3.4: 7, 13, 17, 18, 20, 22 | |||
| feb 4 | reduction of order | § 3.5: 1, 2, 4, 9, 11, 14, 18, 23, 25, 28 | |||
| feb 6 | fundamental solutions | § 3.2: 1, 4, 7, 11, 18, 23, 25 | hw4 | hw3 sols | |
| feb 7 | more wronskian | § 3.3: 1, 4, 15, 18 | |||
| feb 8 | undetermined coefficients | § 3.6: 1, 2, 13 | |||
| feb 11 | undetermined coeffs 2 | § 3.6: 3, 16 | |||
| feb 13 | undetermined coeffs 3 | § 3.6: 4, 5, 7, 8, 11, 13-18 | |||
| feb 14 | undetermined coeffs 4 | hw5 | hw4 sols | ||
| feb 15 | mechanical vibrations | § 3.8: 6, 14 | |||
| feb 18 | more vibrations | § 3.8: 11, 13, 15, 26, 31 | |||
| feb 20 | even more vibrations | § 3.9: 5, 6, 10, 12, 15 | |||
| feb 21 | higher order eqns | § 4.1: 2, 3, 5, 8, 9, 13, 15 § 4.2: 11, 12, 13, 15, 20 |
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| feb 22 | higher order eqns 2 | hw5 sols | |||
| feb 25 | review | exam 1 info | |||
| feb 27 | review | ||||
| feb 28 | review | exam tonight! | |||
| feb 29 | laplace transforms | § 6.1: 8, 10, 11, 15 | |||
| mar 3 | inverse transforms | § 6.2: 1,3,5,7,8,9,12,16,22 | |||
| mar 5 | step functions | § 6.3: 1, 2, 3, 4, 5, 7, 8, 9 | hw6 | ||
| mar 6 | inverse step transforms | § 6.3: 13, 15, 16 | |||
| mar 7 | laplace IVPs | § 6.2: 1,3,5,7,8,9,12,16,22 § 6.4: 1,2,5,9,11 |
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| mar 17 | more laplace ivps | ||||
| mar 19 | dirac delta | § 6.5: 1,2,4,11 | |||
| mar 20 | systems of des | hw6 sols | |||
| mar 21 | eigenvalues/vectors | § 7.2: 2ac,3ac,4,8,10,13,18,22,25 § 7.3: 1,3,5,6,8,10,12,15,16,22,24 |
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| mar 24 | systems w/real eigenvalues | § 7.5: 1,3,5,11,14,15,17 | hw7 | ||
| mar 26 | systems w/complex eigenvalues | § 7.6:1,3,4,5,7,10,28 | |||
| mar 27 | systems w/repeated eigenvalues | § 7.8: 1,3,5,9 | |||
| mar 28 | nonlinear systems | § 9.2: 5a-14a | |||
| mar 31 | linearization | § 9,3: 1-16 | |||
| apr 2 | nonlinear system models | § 9.4: 1,3,5,8 | exam 2 info | ||
| apr 3 | review | hw7 sols | |||
| apr 4 | review | ||||
| apr 7 | review | ||||
| apr 9 | boundary values | § 10.1: 1,4,8,11,12,13 | hw8 | ||
| apr 10 | eigenfunctions; heat equation | ||||
| apr 11 | heat eqn ivps | § 10.5: 2,3,7,8 § 10.6: 12,13 |
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| apr 14 | fourier series coeffs | § 10.2: 13,14,18 | |||
| apr 16 | fourier series 2 | ||||
| apr 17 | fourier series convergence | hw9 | |||
| apr 18 | more fourier convergence | ||||
| apr 21 | heat ivps | ||||
| apr 23 | other bdry problems | ||||
| apr 24 | wave equation | ||||
| apr 25 | wave equation examples | ||||
| apr 28 | laplace equation | final info | |||
| apr 30 | review | ||||
| may 1 | review | ||||
| may 2 | review |