/ Math 20a

Math 20a: Calculus of several variables

Fall 2003


Instructor: Prof. Daniel Ruberman
E-mail: ruberman@brandeis.edu
Office: Goldsmith 310
Phone: 736-3074
Class schedule: Mon Wed Thu 9-10, Goldsmith 317.
Office hours: Monday 10-11, Wednesday 1-2, Thursday 10-11, and by appointment.
Textbook: Multivariable calculus (5th edition) by Stewart. (This may differ from the 4th edition in some respects; in particular, the numbering of the problems may not be the same.)

Syllabus

Exams, homework and grading

Web links

Exam schedule and solution sheets

Event Date Review
sheet
Review
solutions
Text sections Solutions Mean
Grade
  Quiz 1
  Sept. 24     11.1-5, 13.1     Given in class     93%
  Quiz 2
  Oct. 9     Through 13.6     Given in class     85%
Quiz 3
Nov. 6 Through 15.4 Given in class   84%
Quiz4
Nov. 24   Through 16.2
  Exam 1  Oct. 16    Through 14.4     Handout
 83%
Exam 2 Nov. 13
Through 15.6   88%
  Final  Dec. 4, 1:30-4:30  
     

Lecture notes from November 26 class.

Homework assignments and solutions

In addition to the even-numbered homework, which are to be handed in for grading, I have suggested 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
  Sept. 11   11.1-3   11.1: # 2, 6, 10.
  11.2: # 2, 6, 16, 32, 42.
  11.3: # 4, 8, 14, 18, 26, 56, 68.
   
  2   Sept. 18   11.4, 13.1   11.4: # 2, (3), 6, (11), 12, (25), 26, (47), 48.
  13.1: # (3), 4, (13), 14, 16, (33), 42.
   
  3   Sept. 25   13.2, 13.3   13.2: # 4, (5), 6, (15), 16, 18, 26, (27), 30.
  13.3: # 6, (7), (11), 12, (21), 22, 24, 36, 44, (45), 46, 50.
   
  4   Oct. 2   13.4, 13.5,13.6   13.4: 6, (7), (15), 16, (21),22,(29), 30, (41), 42.
  13.5: 4, 10, (23), 24, (41), 42.
  13.6: 2, (9), 10, (13), 14, (17), 20, (41), 42.
   
  5   Oct. 9   14.1, 14.2   14.1: (5,13) 14, 16, (19-24).
  14.2: (5), 6, 12, (15), 16, 18, 22, 24, (31), 32, 34, (41) 44.
   
  6   Oct. 15   14.3, 14.4   14.3: (3), 4, 6.
  14.4: (5), 6, 12, (15), 16, (19), 20, 22, (23).
  7   Oct. 23   13.7, 15.1, 15.2   13.7 10, (11), (21), 22, (31-36), 38, 44, 52, (53).
  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).
  8   Oct. 30   15.3, 15.4   15.3: (5,6), 8, (15), 16, 24, (29), 32, (41), 42, (53), 56, (68,69, 71,77).
  15.4: 4, 12, (13), (19), (23), 24, 30.
9
Nov. 6
15.5
15.5: (3), 4, 6, 8, 12, (21), 22, 24, (27), (31), 34, 38,(39), 40, (45), 46, (47)
10 Nov. 12 15.6 15.6: (7), 8, 16, 22, (23), (27), 28, 32, (37), 38, 42, (55), (61)
11
Nov. 20 15.7 (through p. 994)
16.1, 16.2
15.7: (1), 2, 4, (7), 8, 12, 18
16.2: 2, (11), 12, 16, 24, (25), 28.
12
Dec. 1 16.3
16.4
16.7
16.3: (1), 2, 4, 6, (11), 14, 20, (25), 28, (43), 44.
16.4: (7), 8, 10, (15), 22, 26, 28, (36--this is a very important integral!).
16.7: 4, (7), 8, 10, (19), 20.