The following schedule is provisional. Close to the date indicated the schedule can be trusted. I wouldn't believe anything more than a few days into the future though.
Assignments are due on Wednesdays at the beginning of class. The row that the assignment appears on is the day that it is due, (so for example assignment 1 is due on Sept 22). The assignments are available in either .ps or .pdf formats. The assignments can be downloaded from this page. The links to the assignment will appear a week before the assignment is due.
The practice problems are just that: suggested problems to practice the ideas in that day's lecture; the numbers refer to the problems in the section of the book covered that day. They won't be collected, but they are a good way to ensure that you are understanding what is going on the course. My recommendation: Do them!
The tutorials are a chance to go over some of the ideas in the class that week; there will be a small presentation about one of the topics, some practice problems, and people who can answer questions about these problems and the ideas in class. The tutorial is not meant to answer specific questions about the homework. All students are expected to attend one tutorial per week.
| Date | Topic | Book | Homework | Practice Problems | Tutorial Topic | |
|---|---|---|---|---|---|---|
| Sept. | 13 | Introduction to Course | §2.1 | 9, 12, 14, 17, 18, 22 | ||
| 15 | Graphing functions of several variables | §2.2 | 6, 10, 20, 27, 37, 39 | Graphing multivariable functions | ||
| 16 | Limits and Continuity | §2.3 | 8, 9, 15, 17, 27, 34 | |||
| 20 | Derivatives | §2.4 | 5, 13, 14, 23, 25, 26 | |||
| 22 | More derivatives | §2.4 | H1 .pdf .ps | 28, 29, 31, 39, 42, 43 | Derivatives .pdf .ps | |
| 23 | Properties of derivatives | §2.5 | A1 .pdf .ps | 2, 3, 7, 8, 9, 11 | ||
| 27 | More properties of derivatives | §2.5 | 13, 14, 15, 17, 18, 19 | |||
| 29 | Higher order partial derivatives | §2.6 | H2 .pdf .ps | 5, 10, 11, 12, 14, 22 | Derivative practice .pdf .ps | |
| 30 | Curves in the plane and in space | §3.1 | A2 .pdf .ps | 7, 10, 11, 20, 21, 31 | Answers .pdf .ps | |
| Oct. | 4 | Tangents, Velocity, and Acceleration | §3.2 | 5,7,15,23,31 | ||
| 6 | Length of a curve | §3.3 | H3 .pdf .ps | 7,10,13,27,29 | Curves in space .pdf | |
| 7 | Gradients and directional derivatives | §4.1 | A3 .pdf .ps | 7,9,11,19,21,31,35 | ||
| 11 | Thanksgiving (No class) | |||||
| 13 | Divergence and curl | §4.2 | H4 .pdf .ps | 9,11,13,21,33 | Div. and curl | |
| 14 | More about divergence and curl | §4.2 | A4 .pdf .ps | |||
| 18 | Identities of vector analysis | §4.3 | None | |||
| 20 | Paths and parameterizations | §5.1 | H5 .pdf .ps | 9,11,13,17 | Identities | |
| 21 | Path integrals of real valued functions | §5.2 | A5 .pdf .ps | 5,7,15,17,21,23,25 | ||
| 25 | Path integrals of vector valued functions | §5.3 | ||||
| 27 | Review for Midterm | H6 .pdf .ps | Practice problems | |||
| 28 | Integrals independent of path | §5.4 | A6 .pdf .ps | |||
| Nov. | 1 | Double integrals | §6.1 | |||
| 3 | More general regions of integration | §6.2 | H7 .pdf .ps | Integration practice | ||
| 4 | Examples and techniques of evaluation | §6.3 | A7 .pdf .ps | |||
| 8 | Change of Variables | §6.4 | ||||
| 10 | Triple integrals | §6.5 | H8 .pdf .ps | Change of variables .pdf .ps | ||
| 11 | Parameterized surfaces | §7.1 | A8 .pdf .ps | |||
| 15 | Surface integrals of real valued functions | §7.2 | ||||
| 17 | Surface integrals of vector fields | §7.3 | H9 .pdf .ps | Surface integrals | ||
| 18 | Multivariable theorems of calculus | §7.3 | A9 .pdf .ps | |||
| 22 | Green's theorem | §8.1 | ||||
| 24 | Divergence (Gauss') theorem | §8.2 | H10 .pdf .ps | The three theorems: .pdf | ||
| 25 | Stokes' theorem | §8.3 | A10 .pdf .ps | |||
| 29 | Integration Tricks | |||||
| Dec. | 1 | Applications to electromagnetism | §8.4 | H11 .pdf .ps | Stokes and electromagnetism | |
| 2 | Review for December exam. | A11 .pdf .ps | ||||
| 7 | H12 .pdf .ps | |||||
| A12 .pdf .ps | ||||||