The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Date | Sections in Text | Description | Homework | Practice Problems |
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(M) Sep 12 | 1.1, 1.2 |
What are differential equations? DirectionFields.nb |
Part A: §1.1: #7, 9, 12, 23 §1.2: #1, 5, 12 Hint: do (b) first |
§1.1: #1, 2, 26 §1.2: #1(a), 2(a) |
(W) Sep 14 | 1.3, 2.1 |
Classification and linear first-order ODEs DirectionFields2.nb |
§1.3: #3, 5, 11 Part B: §2.1: #16, 19 |
§2.1: #1, 9, 12 |
(Th) Sep 15 x-hour |
Computing session Mathematica, Maple, Matlab |
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(F) Sep 16 | 2.2, 2.4 |
Separable equations and existence-uniqueness theorems DirectionFields3.nb |
§2.2: #6, 7, 22 §2.4: #4, 23 |
§2.2: #9, 11 §2.4: #5, 11 |
(M) Sep 19 | 2.3 |
Modeling with differential equations MixingPlot.nb, WorksheetSlopeFields.nb |
Part A: §2.3: #2, 8, 13 |
§2.3: Solve the IVPs in Examples 2 and 3 §2.3: #9, 10 |
(W) Sep 21 | 2.5 | Autonomous equations and population dynamics | Part B: §2.5: #7, 17, 24 |
§2.5: #9, 23 Review multivariable chain rule |
(Th) Sep 22 x-hour |
2-by-2 matrix review Worksheet |
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(F) Sep 23 | 2.6 |
Exact equations LastExamplePlot.nb HW 1 due 3:30pm |
Part A: §2.6: #16, 27, 28 |
§2.6: #23, 26, 30 |
(M) Sep 26 | 3.1, 3.2 | Second order constant coefficient with distinct real roots; the Wronskian | Part A: §3.1: #12, 14, 22, 26 §3.2: #9, 10, 28, 38, 39 |
§3.1: #2, 4 §3.2: #2, 4, 14 |
(W) Sep 28 | 3.3 |
Complex conjugate roots SolutionPlots.nb |
Part B: §3.3: #15, 19, 26 |
§3.2: #25 §3.3: #8, 27 |
(Th) Sep 29 x-hour |
Exam 1 review Review packet, Solutions |
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(F) Sep 30 | 3.4 |
Repeated roots and reduction of order HW 2 due 3:30pm |
§3.4: #12, 15, 30 | §3.4: #2, 16, 24 |
(M) Oct 3 | 3.5 | Method of undetermined coefficients |
Part A: §3.5: #2, 4, 17, 37 |
§3.5: #5, 19 |
(Tu) Oct 4 | Exam 1: 4 - 6 pm Kemeny 008 |
Review packet Solutions |
Past exams | |
(W) Oct 5 | 3.6 | Variation of parameters | §3.6: #8, 10 Part B: §3.6: #28, 32 |
§3.6: #9, 13 |
(F) Oct 7 | 3.7, 3.8 | Modeling of vibrations Demos: 1, 2, 3, 4 ForcedVibrationsPlot.nb HW 3 due 3:30pm |
§3.7: #14, 28 §3.8: #6, 8 |
§3.7: #19 §3.8: #17 |
(M) Oct 10 | 7.2 | Review of matrices, part 1 |
Part A: §7.2: #9, 13, 18, 21, 25 |
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(W) Oct 12 | 4.1, 4.2 | Order n homogeneous linear equations with constant coefficients |
§4.1: #9, 10, 16 Part B: §4.2: #13, 22, 37 |
§4.1: #7, 8, 19(c) §4.2: #14, 17 |
(F) Oct 14 | 4.3, 4.4 |
Undetermined coefficients and variation of parameters for order n equations HW 4 due 3:30pm |
§4.3: #12, 15 §4.4: #3, 10 |
§4.3: #2, 4 §4.4: #2 |
(M) Oct 17 | 7.1, 7.3 |
Review of matrices, part 2. Systems of ODEs. Demo |
Part A: §7.1: #5, 7, 23 §7.3: #20, 23, 33 |
§7.1: #10, 14 §7.3: #17, 18 |
(W) Oct 19 | 7.4 | Existence and uniqueness of solutions of systems of ODEs | §7.4: #2, 6, 7 | Make a list of topics to review for the exam |
(Th) Oct 20 x-hour |
Exam 2 review Review packet, Solutions |
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(F) Oct 21 | 7.5 |
Constant coefficients systems with distinct real eigenvalues Example2Plots.nb, Example3Plots.nb, EigenManipulate.nb HW 5 due 3:30pm |
Part B: §7.5: #2, 4, 8, 18, 28, 29 |
§7.5: #3, 12 |
(M) Oct 24 | 7.6 |
Constant coefficient systems with complex conjugate eigenvalues ComplexEigenPlot.nb |
Part A: §7.6: #3, 8, 13, 19, 28 |
§7.6: #2, 6 |
(Tu) Oct 25 | Exam 2: 4:30 - 6:30 pm, Kemeny 008 |
Review packet Solutions |
Past exams | |
(W) Oct 26 | 7.8 | Repeated eigenvalues | §7.8: #2, 4, 16 | §7.8: #1, 18 |
(Th) Oct 27 x-hour |
5.1, 5.2 | Power series review and solution near an ordinary point |
Part B: §5.1: #6, 8, 11, 16, 24 §5.2: #1, 7, 11, 17, 25 |
§5.2: #10, 12, 20 |
(F) Oct 28 |
No class: Homecoming HW 6 due 3:30pm |
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(M) Oct 31 | 5.3, 5.4 |
Convergence of power series solutions; the Euler equation TaylorConvergencePlots.nb |
Part A: §5.3: #5, 8, 12, 14 Part B: §5.4: #1, 5, 14 |
§5.3: #17 §5.4: #3, 8 |
(W) Nov 2 | 10.1 | Boundary value problems; eigenfunctions |
Part A: §10.1: #1, 3, 4, 11, 12, 14, 20 |
§10.1: #5, 8 |
(Th) Oct 27 x-hour |
Computing session xhour2.nb |
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(F) Nov 4 | 10.2 |
Fourier series HW 7 due 3:30pm |
Part B: §10.2: #13, 16, 18, 21, 22 |
§10.2: #14, 15 |
(M) Nov 7 | 10.3, 10.4 |
Fourier convergence theorem; even and odd functions FourierPlots.nb |
Part A: §10.3: #8, 10 §10.4: #21, 24a,b (not part c) |
§10.3: #11 §10.4: #17 |
(W) Nov 9 | 10.5 |
The heat equation HeatEqnPlot.nb |
Part B: §10.5: #1, 5 |
§10.5: #7, 10 |
(F) Nov 11 | 10.6 |
Other heat conduction problems NonHomogHeatPlot.nb HW 8 due 3:30pm |
§10.6: #3, 8, 12a,b,d | §10.6: #11 |
(M) Nov 14 |
Review Review problems |
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(Tu) Nov 15 |
Last day of classes HW 9 due 3:30pm |
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(F) Nov 18 | Final Exam: 11:30 am, Kemeny 008 | Review problems | Past exams |