Math 20a, Calculus of several variables

Math 20a, Calculus of several variables Fall 2012, Brandeis University Lectures: Block E: MWTh 12:00PM - 12:50PM in Gerstenzang 122 Instructor: Sheldon Joyner Contact info: Office: Goldsmith 303, email: [email protected], tel.: 781-736-3068 Office hours: M 1:00 - 2:30 PM, F 11AM - 12:30PM or by appointment Course webpage: people.brandeis.edu/∼joyner/20a.html Text: James Stewart, Multivariable Calculus, Concepts and Contexts, Fourth edition, Brooks / Cole Course objectives: In this course we will study multivariable calculus - i.e. calculus as applied to the study of functions of more than one variable. Topics include: vectors and the geometry of space, vector functions, partial derivatives, multiple integrals, and some classical theorems - Green’s theorem, Stoke’s theorem and the divergence theorem. This material is covered in chapters 9 through 13 of the text. Prerequisites: MATH 10a and b or placement by examination. Students may take MATH 20a or 22b for credit, but not both. Evaluation: Homework and quizzes: 20 % Two midterm exams: 40 % Final exam: 40 % Important dates: Homework due: Sept 6, 13, 24; Oct 3, 10, 15, 22, 29; Nov 5, 12, 19, 26; Dec 3, 10 Quizzes: Sept 12; Oct 10, 24; Nov 28; Dec 5 Midterms: Sept 26; Nov 8 in class Homework policy: You may discuss the homework problems with other students in the class; but if you do, you should write on your homework submission the students with whom you discussed the assignment. (You do not need to mention any help you received from the TAs or instructor.) You may not copy the written work of another student or allow another student to copy your written work. Late homework will not be accepted. Disabilities: If you are a student with a documented disability on record at Brandeis University and wish to have a reasonable accommodation made for you in this class, please see the instructor immediately. Academic integrity: You are expected to be familiar with and to follow the university’s policies on academic integrity as found at http://www.brandeis.edu/studentlife/sdc/ai. These will be taken seriously in this class.

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Homework Assignment 1 due at the beginning of class on Sept 6 1. Read sections 9.1 - 9.3. 2. From 9.1: 7(a), 8, 9(b), 14, 24, 32. 3. From 9.2: 6(d), 6(f), 8, 18, 20. 4. From 9.3: 6, 8, 10. (More to follow from 9.3 in next homework!)

Homework Assignment 2 due at the beginning of class on Sept 13 1. From 9.3: 20, 22, 30, 33, 34. 2. From 9.4: 10, 12, 18, 20, 22. 3. From 9.5: 2, 4, 8, 22, 28, 38, 40.