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