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Math 2A – Multivariate Calculus – Fall 2009



Class Meetings: MTWR 8:00 - 9:10 in E.An 2
INSTRUCTOR: Geoff Hagopian, OFFICE: M12, PHONE: 776-7223.
OFFICE HOURS: MTWR: 10:30 – 11:00 & M-F: 12:20–1:00 

COURSE DESCRIPTION: This course extends the concepts of differentiation and integration introduced in the first two semesters of calculus to functions of several variables.  Topics include solid Euclidean geometry, vector algebra in 3 dimensions, line and surface integrals, multiple integration in rectangular, cylindrical and spherical coordinates, extreme values, parameterized space curves and surfaces, divergence, directional derivatives, gradients, Gauss', Green's and Stokes' theorems.

TEXTBOOK: Multivariable Calculus: Concepts and Contexts, by James Stewart.  Emphasis in this text is on understanding the concepts fundamental to calculus, as well as mastering basic, routine computations.  It is critical that you read the text, keep up with the assigned problems and prepare questions about what you're learning for participation in class. We will not be able to cover every problem type or every approach during class, but you will be responsible for everything in the assigned reading and problems from the text.

EXAMS: There will be five chapter tests (one after each chapter) and a cumulative final exam. Please understand that the point of the exams is to provide an opportunity for you to demonstrate your understanding of the concepts covered.  The in-class tests are timed: this means you need to really understand the ideas before you start the exam. If you are well prepared, you will have enough time for the exams.

HOMEWORK: You can expect to learn far more calculus at home doing the homework than in the classroom. If you complete (and understand) the homework assignment for each section, you should be well prepared for quizzes and exams. At the beginning of each class, I will answer as many questions over the previous night's homework as time allows. You are expected to have completed the assignment and to have prepared specific questions about these. To get credit for homework assignments you’ll need to use the Webassign software at

GRADE:  Your grade in this class will be a weighted average of your final exam, chapter test, homework scores.