MATH 2202
Multivariable Calculus, Spring 2016

MWF10/MWF11 295S Stokes

Prof. Dan Chambers
543 Maloney Hal
chambers@bc.edu
www2.bc.edu/daniel-chambers

Office Hours: M 1-2, W 2-3, F 12-1 or by appointment

Multivariable calculus has a rich history, interesting mathematics, and many applications. In this class we will explore all of these. Topics include vectors and vector valued functions, functions of several variables, multiple integrals, and vector calculus.

The text we'll use is Multivariable Calculus, 4th edition, Cengage; ISBN: 9780495780564, by James Stewart. We'll cover most of chapters 9-12 and half of chapter 13. Here is the syllabus.

Note the exam dates below are tentative, subject to perturbation. This is a work in progress; check back later.

 week Monday Tuesday Wednesday Friday Jan. 18-22 9.1 R^3, points, distances 9.2 vectors in R^2, R^3 Jan. 25-29 9.2/9.3 more vectors, dot product 9.3/9.4 dot product, cross product HW 1 due; solns 9.4/9.5 cross product, planes Feb. 1-5 9.5 planes 9.5 lines  HW 2 due; solns 9.6 functions and surfaces Feb. 8-12 9.7 cylindrical coordinates 9.7 spherical coordinates, 10.1 begun HW3 due; solns midterm 1 solns A  solns B Feb. 15-19 10.1/10.2 space curves, vector functions, calculus with them 10.2 ct'd 10.3 arc length Feb. 22-26 10.4 velocity, acceleration HW4 due; solns 11.1 functions of several variables 11.2 limits and continuity Feb. 29-Mar. 4 11.3 partial derivatives 11.3/11.4 partial derivatives, tangent planes HW5 due; solns 11.4/11.5 linearization, chain rule Mar. 7-11 spring break spring break spring break Mar. 14-18 11.5 chain rule 11.6 gradient, HW6 due; solns midterm 2; solns Mar. 21-25 11.6/11.7 gradient concluded, max/min begun 11.7 max/min concluded Easter break Mar. 28-Apr. 1 Easter break 11.8 Lagrange multipliers 12.1/12.2 double integrals over rectangles HW7 due; solns Apr. 4-8 12.2/12.3 double integrals over general regions 12.3/12.4 double integrals in polar coordinates 12.4 polar continued,  HW8 due; solns Apr. 11-15 12.5 applications of double integrals to probability 12.7 triple integrals HW9 due; solns midterm 3; solns Apr. 18-22 Patriots Day 12.9 change of variables 13.1 vector fields Apr. 25-29 13.2 line integrals 13.2 13.3 fundamental theorem HW10 due; solns May 2-6 no class 13.3 13.4 HW11 solns