Math 101, Winter 2008
ANNOUNCEMENTS
Please note the final will be held in PAVILION,
ROWS 19 (seats 34 -- 50) and 21.
Course outline
Tentative Syllabus
Homework Assignments:
-
Assignment 1,
due January 18, 2008, by 5:00 p.m.
Solution.
-
Assignment 2,
due January 25, 2008, by 5:00 p.m.
Solutions.
-
Assignment 3,
due February 1, 2008, by 5:00 p.m.
Solutions.
-
Assignment 4,
due February 8, 2008, by 6:00 p.m.
Solutions.
-
Assignment 5,
due February 15, 2008, by 6:00 p.m.
Solutions.
-
Assignment 6,
due February 29, 2008, by 6:00 p.m.
Solutions.
-
Assignment 7,
due March 14, 2008, by 6:00 p.m.
Solutions.
-
Assignment 8,
due March 28, 2008, by 6:00 p.m.
Solutions.
-
Assignment 9,
due April 4, 2008, by 6:00 p.m.
Solutions.
-
Assignment 10,
due Wednesday, April 9, 2008, by 6:00 p.m.
Solutions.
Drill Problems (if you do not have time to do all the drill problems do at least problems
listed in the parentheses). Please note also that the numeration is according to a different
edition of the Stewart book.
-
Section 5.5, No. 1 -- 32, 38 -- 42, 47 -- 50, 29 -- 32
(7, 10, 11, 14, 17, 19, 20, 21, 25, 26, 32, 38, 40, 58)
 
 
 
 
 
 
Sketches of solutions.
-
Section 6.1, No. 1 -- 30 (2, 3, 6, 11, 12, 14, 16, 18, 22, 24, 28, 30)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 6.2, No. 1 -- 36 (2, 5 -- 8. 11, 12, 16, 17, 22, 25, 43, 44, 50)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 6.3, No. 3 -- 26, 37 -- 42 (5, 6, 8, 9, 13, 16, 18, 20, 23, 25, 37, 39, 40, 42)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.1, No. 3 -- 32, 51, 52, 55 -- 58 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.2, No. 1 -- 18, 20 -- 31, 35 -- 38, 41 -- 43 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.3, No. 4 -- 8, 10 -- 18, 20, 23, 26 -- 29 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.4, No. 1 -- 48, 56 -- 59 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.5, No. 1 -- 80 (every 4-th problem)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 7.8, No. 1, 2, 5 -- 42, 49 -- 54, 57 -- 59 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 9.1, No. 1 -- 5
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 9.3, No. 1 -- 20, 27 -- 30 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 9.6, No. 1 -- 20, 24 -- 30 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.1, No. 9 -- 40, 51 -- 60 (every 4-th problem)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.2, No. 9 -- 45, 49, 50, 57, 58, 60 -- 63 (9 -- 12, 15, 17, 22, 23, 24,
27, 30, 32, 38, 42, 45, 49, 50, 57, 61, 63)
Sketches of solutions.
-
Section 11.3, No. 1 -- 28 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.4, No. 2 -- 42, 44 -- 46 (6, 8, 9, 20, 25, 26, 28 -- 31, 34, 38, 40, 41, 44 -- 46)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.5, No. 2 -- 20, 24, 32 -- 35 (7, 10, 12, 14 -- 19, 24, 31, 33, 35)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.6, No. 1 -- 33, 37 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.7, No. 1 -- 37 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.8, No. 4 -- 31, 36 -- 40 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.9, No. 1 -- 18, 23 -- 28, 34 -- 38 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 11.10, No. 1 -- 32, 39 -- 49, 53 -- 60 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.1, No. 1 -- 22, 28 (4, 8, 10, 12, 16, 28)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.2, No. 1 -- 8, 11 -- 20, 29 -- 33 (5, 7, 14, 16, 18, 20, 30, 32, 33)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.3, No. 1 -- 46 (2, 4, 6, 14, 18, 20, 24, 26, 28, 30, 34, 38, 42, 46)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.4, No. 1 -- 14, 17 -- 42 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 12.1, No. 1 -- 38 (every 4-th problem)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 12.6, No. 1 -- 36, 41 -- 44 (every 4-th problem)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 13.1, No. 1 -- 26, 39, 40 (every 4-th problem, and 39, 40)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 13.2, No. 3 -- 26, 33 -- 39 (all even-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 8.1, No. 1, 2, 5 -- 20, 29 -- 31 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 8.2, No. 1 -- 16, 25 -- 27, 29 (all odd-numbered problems)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.2 (arc length and surface area), No. 37 -- 44, 57 -- 61, 65, 66
(all even-numbered problems)
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 10.4 (arc length), No. 45 -- 48
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
-
Section 13.3, No. 1 -- 6, 11, 13 -- 31, 43 -- 45 (all even-numbered problems and 43, 45)
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Sketches of solutions.
Here is
why we ask for rigorous proofs in analysis and
why we do not accept graphical solutions.