MATH 232, Fall 2016, COURSE INFORMATION TEXT: Calculus by James Stewart (8th edition) PREREQUISITE: A grade of C or better in Math 230 GRADING: Your grade will be based on a total of 650 points as follows: 3 one-hour exams 300 points Final exam 200 points Homework/quizzes 150 points FINAL EXAM: The departmental final exam is on Tuesday, December 6th, 8-9:50 a.m. (in the morning.) The place of the final exam will be announced later. 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 14th. 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. DRC STATEMENT:Northern Illinois University is committed to providingan accessible educational environment in collaboration with theDisability Resource Center (DRC). Any student requiring an academicaccommodation due to a disability should let his or her faculty memberknow as soon as possible. Students who need academic accommodationsbased on the impact of a disability will be encouraged to contacttheDRC if they have not done so already. TheDRC is located on the 4thfloor of the Health Services Building, and can be reachedat 815-753-1303 (V) or drc@niu.edu.________________________________________________________________________ MATH 232, Fall 2016, TENTATIVE SCHEDULE OF LECTURES Your instructor will work around this schedule and add additional topics as time permits. Fundamental concepts like curvature, torsion, the {T,N,B} frame, and forces in accelerated coordinate systems may well be covered. The calculation of surface area in general and the profound theorems of Stokes and Gauss may be discussed as well, as they should be. WEEK DAY SECTION TOPIC 1 Aug. 22-26 10.1 curves defined by parametric equations 10.2 calculus with parametric curves 10.3 polar coordinates 10.4 areas and lengths in polar coordinates ________________________________________________________________________ 2 Aug. 29-Sep. 2 10.5 conic sections 12.1 three-dimensional coordinate systems 12.2 vectors 12.3 the dot product ________________________________________________________________________ 3 Sep. 5 Labor Day – no class Sep. 6-Sep. 9 12.4 the cross product 12.5 equations of lines and planes in space ________________________________________________________________________ 4 Sep. 12-16 12.6 cylinders and quadric surfaces Review Exam 1 ________________________________________________________________________ 5 Sep. 19-23 13.1 vector functions and space curves 13.2 derivatives and integrals of vector functions 13.3 arc length 13.4 motion in space 14.1 functions of several variables ________________________________________________________________________ 6 Sep. 26-Sep. 30 14.2 limits and continuity in higher dimensions 14.3 partial derivatives 14.4 tangent planes and linear approximations ________________________________________________________________________ 7 Oct. 3-7 14.5 the chain rule 14.6 directional derivatives and gradients 14.7 maximum and minimum values ________________________________________________________________________ 8 Oct. 10-14 14.8 Lagrange multipliers Review Exam 2 Oct. 14 LAST DAY TO WITHDRAW FROM THE COURSE ________________________________________________________________________ 9 Oct. 17-21 15.1 double integrals over rectangles 15.2 double integrals over general regions ________________________________________________________________________ 10 Oct. 24-28 15.3 double integrals in polar coordinates 15.4 applications of double integrals ______________________________________________________________________ 11 Oct. 31-Nov. 4 15.6 triple integrals 15.7 triple integrals in cylindrical coordinates ________________________________________________________________________ 12 Nov. 7-11 15.8 triple integrals in spherical coordinates 15.9 change of variables in multiple integrals ________________________________________________________________________ 13 Nov. 14-18 Review Exam 3 16.1 vector fields ________________________________________________________________________ 14 Nov. 21-22 16.2 line integrals Nov. 23-25 Thanksgiving Break - no classes ________________________________________________________________________ 15 Nov. 28-Dec. 2 16.3 the fundamental theorem for line integrals 16.4 Green's theorem _________________________________________________________________ Tue., Dec. 6 (8-9:50AM) FINAL EXAMINATION