SAN JOSE STATE UNIVERSITY Fall 2020 MATH 32 – Section 03 (Code 49112) Calculus III – ONLINE 1:30 – 2:45 p.m. Instructor: Office: e-mail Address: Dr. S. Obaid 412 MacQuarrie Hall samih.obaid@sjsu.edu Office Hours: Monday Friday 2:00 – 4:00 p.m. 11:00 – 1:00 p.m. Catalog Description: Functions of more than one variable, partial derivatives, multiple integrals and vector calculus. Graphical, algebraic and numerical methods of solving problems. 3 units. Prerequisite : Math 31 (with a grade of C- or better). Textbook: Calculus: Early Transcendentals, by James Stewart, (CENGAGE) 8th. Ed. It has an E-book version Course Objectives: To learn 2- and 3- dimensional vector algebra and analytic geometry. To understand and apply the basic ideas of multivariable calculus: functions, limits, continuity, differentiation, and integration. To master the concepts and techniques of multivariable calculus and to use these methods in solving applied problems. Homework: I will send you the list of homework for all the semester for the 8th edition. If you want to use the 7th or 6th editions, you will find the lists on my old web page: www.math.sjsu.edu/~sobaid/ Grading Policy: Quizzes 13% of your grade (The first two quizzes will be 10 points each and the second two quizzes will be 20 points each) Exam I 29% of your grade - Thursday 10/01 GRADESCOPE (plan) Exam II 29% of your grade - TUESDAY 11/10 GRADESCOPE (plan) Final Exam: 29% of your grade - Saturday 12/12 Between 2:00 – 4:15 p.m. GRADESCOPE The final exam is comprehensive. Computer Requirements: You need to have a microphone and a camera on your computer. Minimally you need to know how to use ZOOM and GRADESCOPE. You also need to be able to scan and save your quizzes and exams in one pdf file. All exams will be proctored on ZOOM. There will be more information about exams later. Late Adding It is your responsibility to find all the information you missed. Integrity Policy: It is a requirement to read the integrity policy. http://www.sjsu.edu/senate/docs/F15-7.pdf Basic topics (required to be covered) and suggested schedule We will begin with Chapter 12 Chapter 10 Chapter 12 Sec. Sec. 1-6 1 Curves defined by parametric equations. 3 Polar coordinates. (1 week) Three-dimensional coordinate systems. Vectors. The dot product. The cross product. Equations of lines and planes. Cylinders and quadric surfaces. (3 weeks). Chapter 13 Chapter 14 Sec. 1-2 Vector functions and space curves. Derivatives and integrals of vector functions. 3 Arc length and curvature. 4 Motion in space: velocity and acceleration. (Tangential and normal components of acceleration, Kepler’s laws of planetary motion are optional.) (1.5 weeks) Sec. 1- 8 Functions of several variables. Limits and continuity. Partial derivatives. Tangent planes and linear approximations. The chain rule. Directional derivatives and the gradient vector. Maximum and minimum values, Lagrange Multipliers. (Either section 7 or section 8 is required.) (4 weeks) Chapter 15 Sec. 1-9 Double integrals over rectangles. Iterated integrals. Double integrals over general regions. Double integrals in polar coordinates. Applications of double integrals. Triple integrals. Triple integrals in cylindrical coordinates. Triple integrals in spherical coordinates. ( Surface area is optional.) (4 weeks) Optional Reading: Sec. 10.2, 10.4, 10.5, 14.8, 15.6, 15.9 There may be small changes in the syllabus. Remark: No make-up exams or quizzes will be given. In the case of exams reasons to exceptions must be convincing to me, officially documented, and presented to me before the missed exam. Remark. NO CONTACTS OF ANY KIND ARE ALLOWED DURING THE EXAMS AND THE QUIZZES. DO NOT USE THE WEB PAGES OR INFORMATION FROM ANYONE TO ANSWER ANY QUESTION. DO NOT USE YOUR Phone. Last day to drop without documentation: Monday, August 31, 2020. After 8/31/2020 a student may withdraw from class only for serious and compelling reasons. These emergencies must be acceptable to the University Drop Office. Anticipation of failing the class or lack of attendance are normally not accepted reasons for dropping a class. Remark. You need to work very hard to succeed in this course. Look for the university guidelines on how many hours you need to study for the course week. This course is packed with material and you need to do all the required homework without delay. You need to spend about 8 hours a week studying and solving homework. Do your homework WITHOUT DELAY. If you are a student with a disability, you need to CONTACT ME BY E-MAIL as soon as possible to discuss your needs. Log on gradescope.com and if it does not say you are listed in the class write to me. Quizzes will come later. If you do not see that your name on Gradescope, let me know. There will be no recording of my lectures. I hope to be able to send you the saved white board. ZOOM Lecture ID 932 0410 2616 ZOOM – Office- Hours Monday ID 979-4017-5776 ZOOM – Office Hours Friday OPTIONAL WebAssign: Class Code : ID 914-6328-4074 Passcode: 701131 Passcode: 713809 Passcode: 620094 sjsu 2089 3926 ( say you are in math 32 section 03) GRADING SCALE: (Tentative) 92 or higher 71-75 50-51 A C+ D- 88 – 91 65-70 1 – 49 AC F 84-87 B+ 60-64 C- 80-83 55-59 B D+ 76-79 B52-54 D