Calculus III, Fall 2012

MWF 10:30 - 11:20, R 12:30 - 1:20, Bagby 217

Office Hours: MWF 2:30 - 4:00, TR 3:30 - 5:00

Link To WebAssign

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Course Description

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.

Required WebAssign

I will be using WebAssign for almost all the homework assignments for the class. As the name implies, WebAssign is an web-based tool for creating and evaluating course content.  WebAssign has both an Online Homework System and an Electronic Text. WebAssign's Online Homework System is required for this course. As for the text, you may use either the Electronic Text or a traditional hardcopy text for the course -- the decision is yours. (The textbook is Stuart's "Calculus: Concepts and Contexts", 4th edition.) Because the Electronic Text contains all the material in the hardcopy text plus more (video tutorials, etc.), I recommend using the Electronic Text.

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Course Grade

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

In-Class Tests

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

• October 4
• November 8

Homework/Quizzes

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 Cultural Points

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.

All reports must be word-processed.  Handwritten reports are not acceptable.  The number of cults awarded for a specific activity depends on the quality of the write-up.  In grading the cults, you will not receive the full cults score if you do not use proper spelling and grammar in your write-up.  If anything is misspelled or if there is at least one instance of improper grammar, you will not receive the full cults score.  If another one of your professors is awarding cults, a student may use the same activity to earn cults in more than one class.  However, the number of cults a particular assignment will earn is completely up to the professor who receives it.  In other words, the same assignment may earn a different number of cults, depending on the professor who grades it.

Comprehensive Final Exam

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

Attendance and Excused Absences

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.

Make-Up Policy

• 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 .

iPads, Cell Phones, Texting, etc.

• 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.

Course Topics

• 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