Overview
- Class: Monday through Friday, 9:15am, in TSC 215.
- Instructor: Shishir Agrawal (I also go by Sunny).
- Office: Tutt Science 234.
- Course syllabus.
- Course materials: Off on a Tangent
- I’ll keep the PDF linked above quasi-stable (no numbering will change in sections where I’ve assigned reading assignments below). You might refresh frequently to make sure you’re looking at the most recent stable version.
- If you want, you can look at the unstable version here. The exposition should be better, but the numbering won’t agree with the stable version (or with the reading assignments below).
- See here for a longer list of potentially useful resources.
- See here for brief remark if you’re going to graduate school.
- Reading assignment submission form (link disabled).
- Self reflection form (link disabled).
Calendar
Day | Topic | Reading assignment | In class problems |
---|---|---|---|
Week 1 | |||
Mon | Introduction | None | None |
Office hours (1–2pm). | |||
Tue | Single variable: Definitions | Read: 1.1 (and 0.1) Do: 3, 4, 16 | Link |
Office hours (1–2pm). | |||
Wed | Single variable: Computations |
Read: 1.2 Do: 1, 4, 6, 16 |
Link |
Office hours (1–2pm). | |||
Thu | Single variable: Differentiable functions |
Read: 1.3 Do: 6, 11, 13, 20 |
Link |
Office hours (1–2pm). Writing assignment due (11:59pm). Prompt. |
|||
Fri | Single variable: \(C^k\) hierarchy |
Read: 1.4 Do: 2, 7, 11, 27 |
Link |
Quiz 1 (in class). Covers through 1.3. Fearless Friday (2:30pm in TSC 229). Self reflection form for week 1 due (Sunday 11:59pm). |
|||
Week 2 | |||
Mon | Single variable: Review | None | Link |
Chapter 1 proof portfolio peer review (in
class). Quiz 1 revisions (1–2pm). |
|||
Tue | Multivariable: Definitions |
Read: 2.1–2 Do: 5, 6, 9 |
Link |
Office hours (1–2pm). | |||
Wed | Multivariable: Computations |
Read: 2.3 Do: 2, 10, 24, 28, 39 |
Link |
Chapter 1 proof portfolio due
(9:15am). Office hours (2–3pm). |
|||
Thu | Review |
Reread: 2.1–3 Do: (2.3) 5, 12, 30, 41 |
Link |
Quiz 1 exceptional make-up due
(9:15am). Office hours (1–2pm). |
|||
Fri | Multivariable: Differentiable functions |
Read: 2.4 Do: 14 |
Link |
Quiz 2 (in class). Covers through 2.3. Student summer research poster session (2:30–4pm in TSC 2nd floor atrium). Project proposals due (Sunday 11:59pm). Self reflection form for week 2 due (Sunday 11:59pm). |
|||
Week 3 | |||
Mon | Multivariable: \(C^k\) hierarchy |
Read: 2.5 Do: 18, 23, 25, 34, 37 |
Link |
Quiz 2 revisions (1–2pm). | |||
Tue | Multivariable: Review |
Reread: Chapter 2 Do: (2.2) 7 (2.3) 45 (2.4) 8, 11, 18 (2.5) 41, 42 |
Link |
Chapter 2 proof portfolio peer review (in
class). Office hours (1:30–2:30pm). |
|||
Wed | Manifolds: Definitions |
Read: 3.1–2.A Do: (3.1) 3, 6 (3.2) 4 |
Link |
Chapter 2 proof portfolio due
(9:15am). Office hours (1–2pm). |
|||
Thu | Manifolds: Examples |
Read: 3.2.B–E Do: 12–16 |
None |
Quiz 3 (in class). Covers through 2.5. | |||
Fri | Review |
Reread: 3.1–2 Do: 22, 30 |
Link |
Chapter 3 proof portfolio peer review (in
class). Fearless Friday (noon in TSC 122). Quiz 3 revisions (2–3pm). Project draft due (11:59pm). Self reflection form for week 3 due (Sunday 11:59pm). |
|||
Week 4 | |||
Mon | Review | Link | |
Chapter 3 proof portfolio due (in
class). Office hours (1–3pm). |
|||
Tue | Final exam (in class). Covers through 3.2. | ||
Wed | Project presentations. |