Overview
- Class: Monday through Friday, 9:15am, in Olin 258B.
- Instructor: Shishir Agrawal (I also go by Sunny).
- Office: Tutt Science 234.
- Course syllabus.
- Textbook: Lebl, Notes
on Diffy Qs. Version 5.5.
- See here for some notes about some of the exercises.
- See here for a comparison of our textbook with Judson’s ODEs Project.
- See here for a longer list of potentially useful resources (including many free ones).
- See here for my personal Sage ODE Cheatsheet.
- Reading assignment submission form.
- Self reflection form.
Calendar
Day | Topic | Reading assignment | Problem set |
---|---|---|---|
Week 1 | |||
Mon | Introduction | None |
(Read: 0.2–3, 1.1) 0.3.101 1.1.101–102, 105–106 |
Office hours (1–2pm). | |||
Tue | Slope fields |
Read: 1.21, 1.7 Do: 1.2.101, 104, 1.7.101 |
1.2.102–103, 105, 7–82 1.7.103, 104a In class problems |
Office hours (1–2pm). | |||
Wed | Separable equations, Linear equations |
Read: 1.3, 1.4 Do: 1.3.101, 103, 1.4.101 |
1.3.102, 104–105, 107, 12 1.4.102–105 In class problems |
Office hours (1–2pm). Writing assignment due (11:59pm). Prompt. |
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Thu | Autonomous equations3 |
Read: 1.6 Do: 1.6.1, 101 |
1.6.2, 102, 104, 6–7 In class problems |
Office hours (1–2pm). Visiting Artist Concert: Symmetry and Fractals in Music (7:30pm in Packard Performance Hall). |
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Fri | Linear algebra review | None (ie, spend some time reminding yourself some linear algebra4) |
(These should all be review) 2.1.101–102 3.2.101–104 3.3.101 3.4.1, 2, 101a, 102a, 5, 11 3.7.8 3.8.9 In class problems5 |
Quiz 1 (in class). Sections covered: 0.2–1.4, 1.6–7. Fearless Friday talk: Finding long cycles in graphs (2:30pm in TSC 229). Submit self reflection form for week 1 (due Sunday by 11:59pm). Start working on the SIR project (due third Wednesday). |
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Week 2 | |||
Mon | First order systems |
Read: 2.1, 3.1, 3.3 Do: 3.1.101, 103, 3.3.103 |
2.1.104 3.1.104–105 3.3.104 In class problems |
Quiz 1 revisions (1–2pm). | |||
Tue | Eigenvalue method: Complete real eigenvalues |
Read: 2.2 up through theorem 2.2.1(i), 3.4.2, 3.5 (cases 1 through
3) Do: 2.2.1, 7 (both ways)6, 3.4.3 |
2.2.101 (both ways), 104, 107 3.1.102 3.4.101, 103 3.5.3–4 In class problems |
Wed | Eigenvalue method: Complete complex eigenvalues |
Read: 2.2.1–2, 3.4.3, 3.5 (cases 4 through 6) Do: 2.2.103, 3.4.4, 102 |
2.2.105 3.4.104 3.5.102 In class problems |
Office hours (2–3:30pm). | |||
Thu | Eigenvalue method: Defective eigenvalues |
Read: 3.7, finish off 2.27, 2.4 Do: 3.7.102, 2.2.2, 102 (both ways), 2.4.101 |
3.5.2, 103 3.7.103–104 2.4.103, 4 In class problems |
Office hours (1–3:30pm). | |||
Fri | Eigenvalue method: Review | None8 |
3.5.1, 101 In class problems |
Quiz 2 (in class). Sections covered: 2.1–2, 3.1, 3.3–5, and 3.7 up
through 3.7.1 (ie, homogeneous first order linear systems with constant
coefficients, but don’t worry about defective eigenvalues yet). Fearless Friday talk: A proof of Stirling’s formula (noon, in TSC 122). Submit self reflection form for week 2 (due Sunday by 11:59pm). |
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Week 3 | |||
Mon | Matrix exponentials |
Read: 3.8 Do: 3.8.101 |
3.8.102, 104, 6–8 In class problems |
Quiz 2 revisions (1–2pm). | |||
Tue | Nonhomogeneous equations: Integrating factors and eigenvector decomposition |
Review: theorem 3.3.2 Read: 3.9.1 (up through the section on eigenvector decomposition) Do: 3.9.101(a, b) |
3.9.102(a, b), 103–104 In class problems |
Office hours (1–2pm). Final project proposals due (11:59pm). |
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Wed | Nonhomogeneous equations: Undetermined coefficients |
Read: 2.5.1–2, 3.9.1 (the section on undetermined coefficients),
2.6 Do: 2.5.103, 3.9.101(c), 2.6.101 |
2.5.101–102 3.9.102(c) 2.6.103 In class problems |
Office hours (1–2pm). SIR project due (11:59pm). |
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Thu | Review | None | In class problems |
Quiz 3 (in class). Sections covered: Sections covered: 2.1–2, 3.1, 3.3–5, 3.7–8 (ie, everything about homogeneous first order linear systems with constant coefficients). | |||
Fri | Final project work day9 | ||
Quiz 3 revisions (1–2pm). Fearless Friday talk: Closed chains with tetrahedral links (2:30pm in TSC 229). Final project draft due (6pm). Submit self reflection form for week 3 (due Sunday by 11:59pm). |
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Week 4 | |||
Mon | Review | None | In class problems |
Office hours (1–2pm). | |||
Tue | Final exam (in class). Sections covered: everything! | ||
Wed | Final project presentations. |