MT202
Multivariable Calculus, Fall 2013

MWF1 Campion 200

Prof. Dan Chambers
365 Carney Hall
617-552-3769
chambers@bc.edu (best method)

Office Hours: M9-10, W2-3, F12-1 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, 2nd edition, by Brian Blank and Steven Krantz; Wiley ISBN: 978-0-470-45359-9. We'll cover most of the first five chapters. 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 Sep. 2-6 9.1 vectors in R^2 9.1 ct'd   HW#1 9.2 vectors in R^3 Sep. 9-13 9.3 dot product HW#2 9.3 + questions 9.3 projections 9.4 cross product  HW#1 solns 9.4 more cross product  HW#3 Sep. 16-20 9.5 planes and lines chapter 9 questions 9.5 ct'd HW#2 solns 10.1 vector-valued functions Sep. 23-27 10.2 velocity and acceleration  HW#3 solns review/questions Midterm 1 solutions HW#4 class canceled Sep. 30-Oct. 4 10.3 parameterization chapter 10 questions 10.3 arc length 11.1 functions of several variables 11.1 ct'd 11.2 cylinders/quadric surfaces HW#4 solns  HW#5 Oct. 7-11 11.2 ct'd 11.3 limits and continuity HW#6 chapter 11 questions 11.4 partial derivatives 11.4 ct'd 11.5 chain rule HW#5 solns Oct. 14-18 Columbus Day chapter 11 questions 11.5 ct'd 11.6 gradients and directional derivatives HW#6 solns HW#7 11.6 ct'd Oct. 21-25 11.7 tangent planes HW#7 solns review/questions Midterm 2 solution 11.7 ct'd 11.8 max/min problems HW#8 Oct. 28-Nov. 1 11.8 ct'd chapter 11 questions HW#8 solns 11.9 Lagrange multipliers HW#9 11.9 ct'd 12.1 double integrals over rectangles Nov. 4-8 12.1 ct'd 12.2 double integrals, general regions chapter 11/12 questions HW9 solns 12.2 ct'd HW#10 12.3 volumes Nov. 11-15 12.3 ct'd 12.4 polar coordinates chapter 12 questions 12.4 ct'd 12.5 integration in polar coordinates HW#10 solns HW#11 12.5 ct'd Nov. 18-22 12.6 triple integrals HW#11 solns review Midterm 3 solution 13.1 Nov. 25-29 13.1/13.2 line integrals HW#12 canceled Thanksgiving break Thanksgiving break Dec. 2-6 13.2 line integrals chapter 13 questions 13.2 ct'd HW#12 solns 13.3 conservative vector fields Dec. 9-13 13.5 Green's Theorem HW#13 (not collected) chapter 13 questions last class day HW#13 solns  semester topics December 20 Final Exam 9:00 am