**Quick facts:**

- My office hours are MonWedThu 11:00-11:30am and 2:30-3:00pm in 854 Evans.
- Quizzes will be TueFri in class.
- Homeworks assigned MonTue are due Thu, and homeworks assigned WedThuFri are due Mon, and must be submitted at the beginning of lecture in the format described in the Introduction and Policies, which you are required to read.
- Due to having fewer interruptions, Wednesday lectures will generally cover more material.
- Midterm 1 is Tuesday Jul 14, midterm 2 is Tuesday Jul 28, the final is Friday Aug 14, and all exams will be in our classroom during class.

**Conceptual notes:**

**Reading:**

- [1p] [!!] How to lose marks on math exams: a guide to getting less than you deserve!
- [5p] [!!] Implicit vs. parametric equations: understanding and recognizing the difference between using equations implicitly and parametrically.
- [8p] [!!] Directional and partial derivatives. Notes from Lecture 9. I sensed that people aren't as comfortable with this material as I hoped, so I wrote out some expanded notes that I believe will help. Please read these! (The notes are in two parts, 5 and 3 pages, respectively.)
- [5p] [!!] Notes on extrema from Lecture 13: a guide to reading Stewart 14.7.
- [6p] [!!] Understanding lagrange multipliers. Notes from Lecture 14: a slightly shorter explanation than the text, but without examples. Please read the examples in the text!
- [4p] [$$] Using lagrange multipliers. Practical advice for solving Lagrange multiplier problems in Math 53, and answers to common questions.
- [9p] [!!] Change of Variables. Notes from Lecture 21.
- [4p] [!!] Points, Vectors, Covectors, and Scalars. Notes from Lecture 24 (first quarter): explains the meaning of "dx", "dy", and "dz" on their own.
- [5p] [!!] Scalar and (Co)Vector Fields. Notes from Lecture 24 (second quarter).
- [2p] [$$] Concept index for 16.1-4. Hopefully a useful guide for homework and practice.
- [2p] [??] Why is scurl circulation per area?
- [2p] [??] Why is circulation additive?
- [2p] [??] How does "nabla" notation work? Explains the ∇× and ∇⋅ notations for curl and div, and the "curl-Jacobian" trick.
- [6p] [!!] Parametric Surfaces and Tangent Planes.
- [3p] [!!] Surface Integrals of Scalar Fields.
- [2p] [!!] Flux in R^3.
- [2p] [!!] Oriented Surfaces in R^3.
- [2p] [!!] Flux Integrals in R^3.
- [3p] [??] How do scurl/curl approximate circutation?
- [2p] [$$] Concept index for 16.5-9.
- [2p] [$$] Summary of Integral Theorems.
- [1p] [#] Grad/curl/div integral practice problems.
- [1p] [#] F03 Hutchings final answers.
- [1p] [#] F03 Evans final answers.

**Things you have to read (really, you have to):**

Introduction and policies. (until classes begin, subject to minor changes)
**Schedule of topics, reading, homework, and exams.** (updated online regularly!)
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