MATH 232, Spring 2015, 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 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 Thursday, May 7th, 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 6th. 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 providing an accessible educational environment in collaboration with the Disability Resource Center (DRC). Any student requiring an academic accommodation due to a disability should let his or her faculty member know as soon as possible. Students who need academic accommodations based on the impact of a disability will be encouraged to contact the DRC if they have not done so already. ____________________________________________________________ ____________ MATH 232, Spring 2015, TENTATIVE SCHEDULE OF LECTURES WEEK DAY SECTION TOPIC 1 Jan. 12-16 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. 19-23 Martin Luther King, Jr. Day no class 10.5 conic sections 12.1 three-dimensional coordinate systems 12.2 vectors ______________________________ ______________________________ ____________ 3 Jan. 26-30 12.3 the dot product 12.4 the cross product 12.5 equations of lines and planes in space ______________________________ ______________________________ ____________ 4 Feb. 2-6 12.6 cylinders and quadric surfaces Review Exam 1 ______________________________ ______________________________ ____________ 5 Feb. 9-13 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. 16-20 14.2 limits and continuity in higher dimensions 14.3 partial derivatives 14.4 tangent planes and linear approximations ______________________________ ______________________________ ____________ 7 Feb. 23-27 14.5 the chain rule 14.6 directional derivatives and gradients 14.7 maximum and minimum values ______________________________ ______________________________ ____________ 8 Mar. 2-6 14.8 Lagrange multipliers Review Exam 2 ______________________________ ______________________________ ____________ 9 Mar. 9-13 Spring Break no classes ______________________________ ______________________________ ____________ 10 Mar. 16-20 15.1 double integrals over rectangles 15.2 iterated integrals 15.3 double integrals over general regions ______________________________ ______________________________ __________ 11 Mar. 23-27 15.4 double integrals in polar coordinates 15.5 applications of double integrals ______________________________ ______________________________ ____________ 12 Mar. 30-Apr.3 15.7 triple integrals 15.8 triple integrals in cylindrical coordinates ______________________________ ______________________________ ____________ 13 Apr. 6-10 15.9 triple integrals in spherical coordinates 15.10 change of variables in multiple integrals ______________________________ ______________________________ ____________ 14 Apr. 13-17 Review Exam 3 16.1 vector fields ______________________________ ______________________________ ____________ 15 Apr. 20-24 16.2 line integrals 16.3 the fundamental theorem for line integrals ______________________________ ______________________________ ____________ 16 Apr. 27- May 1 16.4 Green's theorem in the plane Review Reading Day