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Calculus III covers power series representations of functions, and the basics of multi-variable calculus. Topics include infinite sequences and series, vector-valued functions, line integrals, partial derivatives, and multiple integrals.

- 50% In-Class Tests
- 15% Homework/Quiz
- 5% Mathematics Cultural Points (see below)
- 30% Final Exam

Two in-class tests will be given. Tentative dates for these are

- October 4
- November 8

Daily assignments will be posted to WebAssign after each class period. These assignments will be due at the beginning of the next class period. From time-to-time there may be offline assignments as well.

Mathematics is one of the oldest of the academic disciplines, and in addition to its intellectual content, it has a rich history and culture. Mathematics culture points ("cults") are awarded for activities which engage with that culture in a substantive, non-trivial way. You may earn cultural points in a variety of ways, such as attending and reporting on a Math/CS colloquium talk, or solving a Math/CS Problem of the Month. In order to receive the full 5% credit for cultural points, you must earn at least 10 cults. Cults are awarded for the following activities:

- Attending a Math/CS colloquium, either at Hampden-Sydney or Longwood. (+5)
- Submitting a non-trivial solution to a new Math/CS Problem of the Month, either at H-SC or Longwood. (+5)
- Submitting a non-trivial solution to a new problem in
*The American Mathematical Monthly*,*The College Math Journal*, or*Mathematics Magazine*. These journals are available in the library. (+5)

To earn cults for one of these activities, a student must submit a brief write-up (approximately one page, word processed) addressing the following topics:

- A description of the activity and a summary of what the student's participation entailed (e.g. for a colloquium talk this would include a summary of the details of the talk; for a solved problem, this would mean a complete solution to the problem).
- A description of how the specific activity deepened their understanding and appreciation of mathematics, in particular if it connected to their current course material.

A comprehensive final exam will be given on Friday, May 4, from 9:00 am until 12:00 noon.

You are expected to attend every class. See the Hampden-Sydney College Catalog for the College's policies on class attendance. You assume full responsibility for all material covered during any absence. A grade of "0" will be assigned for all work missed due to unexcused absences.

- You will have ample time to complete any online homework assignments, so I will not accept any late submissions for these.
- If you are sick on the day of a test or in-class quiz, then you must get in contact with me
**before**the test or quiz is given to arrange a make-up. - If you have a legitimate College-sponsored event in which you must participate (such as a sporting event) scheduled on the same day as a test or in-class quiz, then you must get in contact with me
**before**the test or quiz is given to arrange a make-up .

- No laptops or iPads in class, please. You will not need them during class meetings.
- All cell phones should be turned off during class, or be put in silent mode.
- No texting or other use of the internet during class please.

- Review of Infinite Series
- Power Series
- Vectors and the Geometry of Euclidean Space
- Vector-Valued Functions and Space Curves
- Functions of Several Variables
- Partial Derivatives
- Optimization and Lagrange Multipliers
- Multiple Integrals
- Vector Fields and Line Integrals
- Green's Theorem
- Other topics as time permits