Math 20a: Calculus of several variables

Spring 2005


Instructor: Prof. Daniel Ruberman
E-mail: ruberman@brandeis.edu
Office: Goldsmith 310
Phone: 736-3074
My Homepage and Spring Schedule
Class schedule: Tuesday, Friday 12-1:30, Goldsmith 100.
Office hours: Monday 11-12, Wednesday 11-12, Thursday 10-11, and by appointment.
Textbook: Multivariable calculus (5th edition) by Stewart.

Syllabus

Exams, homework and grading

Web links

Exam schedule and solution sheets

Event Date Review
sheet
Review
solutions
Text sections
  Quiz 1
   February 11
In class
N/A
   11.1 - 13.6
  Quiz 2
March 22
In class
  Chapter 14, 15
(through 15.5)
Quiz 3
April 19 Through Chapter 16
  Exam 1
February 17
7-8:30pm
Room 317 Goldsmith
   
Exam 2
March 31
7-8:30pm
Room 317 Goldsmith
Through 15.7
Final Review
Monday, May 2
1-2:30 pm
Goldsmith 317
  Final   Tuesday May 3 
 1:30 pm - 4:30 pm
Room 121 Gerstenzang
Through 17.2

Homework assignments and solutions

In addition to the even-numbered homework, which are to be handed in for grading, I have suggested (in parenthese) some odd-numbered problems for you to do for practice. The solutions to these are in the back of the book, so they won't be graded; you can write the solutions on the same paper as the even ones if you find that to be convenient. Problems given by letters A, B, C, etc. are to be accessed by clicking. Solutions will be posted after the problems are turned in, and are accessed by clicking the orange buttons.

No. Date due Sections to read Problems Solutions
1
Jan. 21 11.1-11.3; 13.1 11.1: # 2, 6, 10.
11.2: # (1), 2, 6.
11.3: # 4, 8, 14, 18, (23), 26.
13.1: # (3), 4, (13), 14, 16, (33).
  2 Jan. 28 13.2, 13.3, 13.4 (start) 13.2: # 4, (5), 6, (15), 16, 18, 26, (27).
  13.3: # 6, (7), (11), 12, (21), 22, 24, 36, 44, (45), 50.
13.4: 6, (7), (15), 16, (21),22.
  3 Feb. 4 13.4 (end), 13.5, 13.6  13.4: (29), 30, 41.
13.5: 4, 10, (23), 24, (41), 42.
 13.6: 2, (9), 10, (13), 14, (17), 20, (21-27 odd), 22, 24, 26, 28, (41), 42.
  4 Feb. 11  13.7, 14.1   13.7 10, (11), (21), 22, (31, 33, 35), 32, 34, 36, 38, 44, 52, (53).
14.1: (5,13), 14, 16, (19, 21, 23), 20, 22, 24.
  5 Tuesday
Feb. 15
 14.2, 14.3 (through example 2, p. 900)  14.2: (5), 6, 12, (15), 16, 18, 22, 24, (31), 32, 34, (41) 44.
14.3: (3), 4, 6.
  6 March 4
15.1, 15.2, 15.3 (beginning)
15.1: 6, (17), 26, (27), (28), (30), 34, (43), 44, (53-58), 60.
  15.2: (1), 6, (7), 10, 18, (27), 28, 32, (33).
15.3: (5,6), 8, (15), 16, 24, (29), 32.
  7 March 11   15.3 (end), 15.4, 15.5 (beginning)   15.3: (41), 42, (53), 56, (67), 68, (69, 71).
  15.4: 4, 12, (13), (19), (23), 24, 30.
15.5: (3), 4, 6, 8, 12.
  8 March 18  15.5 (end), 15.6 15.5: (21), 22, 24, (27), (31), 34, 38,(39), 40, (45), 46, (47)
15.6: (7), 8, 16, 22, (23), (27), 28, 32, (37), 38, 42, (55), (61)
9
Tuesday
Mar. 22
15.7 (through p. 994) 15.7: (1), 2, 4, (7), 8, 12, 18, 38, (43), 44.
10
April 1
16.1, 16.2
16.1: (11), 12, (13), 14.
16.2: 2, (11), 12, 16, 18, 24, (25), 28.
In #18, you may recall that the integral of ln(z) dz is best done by parts (set u=ln(z), dv=dz).
11 April 8 16.3, 16.4, 16.5 (first section only, to p. 1046). 16.3: (1), 2, 4, 6, (11), 14, 20, (25), 28, (43), 44.
16.4: (7), 8, 10, (15), 22, 26, 28.
16.5: (1), 2.
12
April 15 16.7, 16.8 16.7: 4, (7), 8, 10, (19), 20, (31), 32 (Just do two of the other 5: dxdydz and dzdydx).
16.8: 2, (3), (5), 6, (9), 10, (17), 18, 30.
13
April 22***
See note below.
17.1, 17.2 17.1: (3), 6, 8, (11), 12, (13), 14, (15), 16, (17), 18, (21), 24, (29), 30. (These are easy, so don't worry about the large number of problems.)
17.2: 2, (3), 4, 8, 10, 14, (17), 18, (19), 20.

*** Note about final homework: The official due date for these problems is the last class, on Friday April 22. However, recognizing that some people are leaving early, I will accept this assignment at the review session to be held on Monday May 2. There will be no further extensions for this assignment!

Academic Honesty

You are expected to be honest in all of your academic work. The University policy on academic honesty is distributed annually as a section of the Rights and Responsibilities handbook. Instances of alleged dishonesty will be forwarded to the Office of Campus Life for possible referral to the Student Judicial System. Potential sanctions include failure in the course and suspension from the University. If you have any questions about my expectations, please ask me.