MATH 232, Spring 2014, COURSE INFORMATION TEXT: Calculus, Northern Illinois University Edition, Volume 3 (7th edition) by James Stewart. PREREQUISITE: A grade of C or better in Math 230. COURSE OBJECTIVES: To understand and connect concepts of the calculus with real world problems and other scientific disciplines. To value mathematics and develop an ability to communicate mathematics, both in writing and orally. To develop mathematical reasoning, and an ability to solve problems. To attain computational facility in multi-variable calculus. 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 on Thursday, May 8th, 8-9:50 a.m. 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, March 7th. 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, Spring 2014, TENTATIVE SCHEDULE OF LECTURES WEEK DAY SECTION TOPIC 1 Jan. 13-17 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 Jan. 20-24 Martin Luther King, Jr. Day no class 10.5 conic sections 12.1 three-dimensional coordinate systems 12.2 vectors ________________________________________________________________________ 3 Jan. 27-31 12.3 the dot product 12.4 the cross product 12.5 equations of lines and planes in space ________________________________________________________________________ 4 Feb. 3-7 12.6 cylinders and quadric surfaces Review Exam 1 ________________________________________________________________________ 5 Feb. 10-14 13.1 vector functions and space curves 13.2 derivatives and integrals of vector functions 13.3 arc length ( exclude curvature ) 13.4 motion in space 14.1 functions of several variables ________________________________________________________________________ 6 Feb. 17-21 14.2 limits and continuity in higher dimensions 14.3 partial derivatives 14.4 tangent planes and linear approximations ________________________________________________________________________ 7 Feb. 24-28 14.5 the chain rule 14.6 directional derivatives and gradients 14.7 maximum and minimum values ________________________________________________________________________ 8 Mar. 3-7 14.8 Lagrange multipliers Review Exam 2 ________________________________________________________________________ 9 Mar. 10-14 Spring Break no classes ________________________________________________________________________ 10 Mar. 17-21 15.1 double integrals over rectangles 15.2 iterated integrals 15.3 double integrals over general regions ______________________________________________________________________ 11 Mar. 24-28 15.4 double integrals in polar coordinates 15.5 applications of double integrals ________________________________________________________________________ 12 Mar. 31-Apr.4 15.7 triple integrals 15.8 triple integrals in cylindrical coordinates ________________________________________________________________________ 13 Apr. 7-11 15.9 triple integrals in spherical coordinates 15.10 change of variables in multiple integrals ________________________________________________________________________ 14 Apr. 14-18 Review Exam 3 16.1 vector fields ________________________________________________________________________ 15 Apr. 21-25 16.2 line integrals 16.3 the fundamental theorem for line integrals ________________________________________________________________________ 16 Apr. 28- May 2 16.4 Green's theorem in the plane Review Reading Day