MATH 232, Fall 2011, COURSE INFORMATION TEXT: Calculus, Northern Illinois University Edition, Volume 3 (6th edition) by James Stewart. 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 7 (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 14. 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 2011, TENTATIVE SCHEDULE OF LECTURES WEEK DAY SECTION TOPIC 1 Aug. 22-26 11.1 Curves defined by parametric equations 11.2 calculus with parametric curves 11.3 polar coordinates 11.4 areas and lengths in polar coordinates ________________________________________________________________________ 2 Aug.29-Sept.2 11.5 conic sections 13.1 three-dimensional coordinate systems 13.2 vectors 13.3 the dot product ________________________________________________________________________ 3 Sept. 6-9 13.4 the cross product 13.5 equations of lines and planes in space ________________________________________________________________________ 4 Sept. 12-16 13.6 cylinders and quadric surfaces Review Exam 1 ________________________________________________________________________ 5 Sept. 19-23 14.1 vector functions and space curves 14.2 derivatives and integrals of vector functions 14.3 arc length ( exclude curvature ) 14.4 motion in space 15.1 functions of several variables ________________________________________________________________________ 6 Sept.26-30 15.2 limits and continuity in higher dimensions 15.3 partial derivatives 15.4 tangent planes and linear approximations ________________________________________________________________________ 7 Oct. 3-7 15.5 the chain rule 15.6 directional derivatives and gradients 15.7 extreme values and saddle points ________________________________________________________________________ 8 Oct. 10-14 15.8 Lagrange multipliers Review Exam 2 ________________________________________________________________________ 9 Oct. 17-21 16.1 double integrals over rectangles 16.2 iterated integrals 16.3 double integrals over general regions ________________________________________________________________________ 10 Oct. 24-28 16.4 double integrals in polar form 16.5 applications of double integrals _________________________________________________________________________ 11 Oct.31-Nov.4 16.6 triple integrals 16.7 triple integrals in cylindrical coordinates ________________________________________________________________________ 12 Nov. 7-11 16.8 triple integrals in spherical coordinates 16.9 change of variables in multiple integrals ________________________________________________________________________ 13 Nov. 14-18 Review Exam 3 17.1 vector fields 17.2 line integrals ________________________________________________________________________ 14 Nov. 21-22 17.3 the fundamental theorem for line integrals ________________________________________________________________________ 15 Nov.28-Dec.2 17.4 Green's theorem in the plane Review