Cal Poly Mathematics

Math 241-02, Calculus IV
Spring 2005

Time: MTRF 9-10
Location: Building 38, Room 219

Instructor: Dr. Ben Richert
Office: Building 25, Room 325
Office phone: (75)6-1681
Office hours: M 11-12; T 10-11; R 10-12; F 10-11; and by appointment.
Email: brichert@calpoly.edu
Anonymous Feedback Form: http://www.calpoly.edu/~brichert/teaching/241/feedback02.html

Course description: Math 141, 142, and 143 develop single variable calculus and the theory of vectors. In Math 241, we extend these ideas to functions of many variables. This allows us to find tangent planes (before we found tangent lines), find density and center of mass of surfaces with variable density (before we could only handle lamina of constant density), find surface areas (before we could only find surface areas for surfaces of revolution), find volumes of spaces enclosed by surfaces (before we could only do this if the surfaces in question were again surfaces of revolution), and so on. In the process we will develop a number of interesting tools including partial derivatives, the chain rule, Lagrange multipliers, double and triple integrals, vector fields, the gradient vector, Green's theorem, Stokes' theorem, line integrals, and surface integrals, to name a few.

Course home page: http://www.calpoly.edu/~brichert/teaching/241/241-02.html, or access via Blackboard.

Text: James Stewart, Calculus, fifth edition, Brooks/Cole Publishing, 2003.

Syllabus: We will be working through chapters 15-17 of Stewart's Calculus in this course.

Prerequisites: Math 143.

Grades: Grades will be based on homework and exams. The homework will count for 25%, each of the two midterms counts for 25%, and the final counts for 25%. In the computation of your grade, the lower of your two midterm scores will be replaced by the score you received on the final, if that will improve your standing.

Reading: Students are expected to read the section of the text to be covered on a given day before the lecture.

Homework: Homework will be due twice a week—those problems assigned Monday and Tuesday will be due on Friday, while those assigned Thursday and Friday will be due the following Tuesday. Your lowest homework score will be dropped and therefore no late homework will be accepted. Each homework assignment will be worth 10 points, determined as follows. First, a single problem will be chosen and graded on a scale of 0 to 5. The other 5 points are all or nothing. If all of the problems
assigned are completed, you will get five points. If you have not completed all of the problems you get zero.

Exams: There will be two in-class exams and one cumulative final. Exam 1 is scheduled for Friday, January 27. Exam 2 is scheduled for Tuesday, February 21. These dates are tentative. The cumulative final will be held on Tuesday, March 14, from 7-10 am.