MATH 232, Fall 2008, COURSE INFORMATION TEXT: University Calculus (Part 2) by Hass, Weir, and Thomas. PREREQUISITE: A grade of C or better in Math 230. GRADING: Your grade will be based on a total of 600 points as follows: 3 one-hour exams 300 points Final exam 200 points Homework/quizzes 100 points FINAL EXAM: The departmental final exam is scheduled for December 10 (Wednesday), 8:00-9:50 p.m. CALCULATORS: A calculator without graphing capability, text memory, symbolic operations and communication ability will be allowed on the final exam. COURSE WITHDRAWAL: The last day for undergraduates to withdraw from a full-session course is Friday, October 17. ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly. CAAR STATEMENT: If you have specific physical, psychiatric, or learning disabilities and require accommodations, please let your instructor know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the CAAR (Center for Access Ability Resources) Office located in the Health Services Building, 4th floor. ________________________________________________________________________ MATH 232, Fall 2008, TENTATIVE SCHEDULE OF LECTURES WEEK DAY SECTION TOPIC 1 Aug. 25-29 9.1 polar coordinates 9.2 graphing in polar coordinates 9.3 areas and lengths in polar coordinates 9.4 conic sections ________________________________________________________________________ 2 Sept. 2-5 10.1 three dimensional coordinate systems 10.2 vectors 10.3 the dot product ________________________________________________________________________ 3 Sept. 8-12 10.4 the cross product 10.5 lines and planes in space 10.6 cylinders and quadric surfaces ________________________________________________________________________ 4 Sept. 15-19 11.1 vector functions and their derivatives Review Exam 1 ________________________________________________________________________ 5 Sept. 22-26 11.2 integrals of vector functions 11.3 arc length in space 12.1 functions of several variables ________________________________________________________________________ 6 Sept.29-Oct.3 12.2 limits and continuity in higher dimensions 12.3 partial derivatives 12.4 the chain rule ________________________________________________________________________ 7 Oct. 6-10 12.5 directional derivatives and gradients 12.6 tangent planes and differentials 12.7 extreme values and saddle points ________________________________________________________________________ 8 Oct. 13-17 12.8 Lagrange multipliers Review Exam 2 ________________________________________________________________________ 9 Otc. 20-24 13.1 double and iterated integrals over rectangles 13.2 double integrals over general regions ________________________________________________________________________ 10 Oct. 27-31 13.3 area by double integration 13.4 double integrals in polar form ________________________________________________________________________ 11 Nov. 3-7 13.5 triple integrals in rectangular coordinates 13.6 moments and center of mass ________________________________________________________________________ 12 Nov. 10-14 13.7 triple integrals in cylindrical and spherical coordinates 13.8 substitutions in multiple integrals ________________________________________________________________________ 13 Nov. 17-21 Review Exam 3 14.1 line integrals ________________________________________________________________________ 14 Nov.24-25 14.2 vector fields, work, circulation, and flux ________________________________________________________________________ 15 Dec. 1-5 14.3 path independence, potential functions, and conservative vector fields 14.4 Green's theorem in the plane Review