Homework Assignments 153B Fall 2007

Revised 12/08/07 at 8:45 PM

MTH 153B--Homework Assignments

Note: problems in brackets [ ] are to be done, but not handed in

Final Exam

When: Tuesday, Dec 11 at 3:30-6:30
Where: Capen 10
Covers: 1.1 - 2.4, 3.1 - 4.4, 4.6, 4.7, 5.2, 5.4, 6.3
Format: 3 statements/definitions; 9 problems/proofs
Seating will be assigned
No alphanumeric/programmable/graphing calculators allowed
Review Session: Sunday night, December 9, 7:30 PM in NSC 220

Coming Attractions:

p. 98: 1

General rules for homework:

Use 8.5" by 11" paper (not torn from spiral binders) and staple sheets together.
Print your name legibly last name first in the upper right-hand corner of the page.
Label each homework problem clearly.
Write clearly and legibly.
Problems in brackets are for you to do, but not turn in
Problems involving calculators may be done using Maple/Mathematica/Matlab instead

Assignment 0--Due Friday, August 31:

Read Chapter 1, Sections 1-3 of Honors Calculus
Recitation will meet on Wednesday, August 29
Quiz: No quiz this week

Assignment 1--Due Friday, September 7:

Quiz: Wednesday, Sept 5 on 1.1
Note: quiz is preparation for homework. Two questions; one a definition or statement of result, one a proof or problem
p. 5: 1-4, [5], 6 (in 6, "facts mentioned above" includes (1)-(3) bottom of page 2)
Note for #1: you may use the fact that if 3 divides p^2 then 3 divides p even if you can't prove it
p. 9: [1], 2, 3
(problems listed above are to be turned in, unless they are in brackets)

Assignment 2--Due Monday, September 17:

Quiz: Wednesday, Sept 12 on 1.2, 1.3, beginning of 1.4 (top of page 17)
p. 9: 5-8 [Note: imaginary means the real part is zero]
p. 15: 1-3, [4], 7-9
p. 22: 5, 7
No lecture on Friday, Sept 14

Assignment 3--Due Friday, September 21:

Quiz: Wednesday, Sept 19 on 1.4
p. 22: 1-3, [6], [8], 9 (If P_2(x) = 0 for all real x, what does that tell you about P_2(z) ?)
p. 25-26 "Problems for Chapter 1": 1, 2, 4, 5
Note: for 5, you may use Maple or Mathematica or whatever, if you wish; include a printout.

Assignment 4--Due Friday, September 28:

Quiz: Wednesday, Sept 26 on 1.5
p. 25 "Problems": 1, [2], 3, 4
p. 28: 1, 2, [3], 4, 5
Come prepared to discuss the problems on Wednesday morning in recitation

Assignment 5--Due Friday, October 12:

Quiz: Wednesday, October 10 on 2.2-2.4 (through the statement of the limit theorems and the proof for the sum)
p. 33: 1, 2, 3, 5, 6
p. 35: 1-3
p. 38: 1-3, [4], 5
Come prepared to discuss the problems on Wednesday morning in recitation

Exam I

When: Wednesday, October 3 at 8:00-9:50 AM
Where: Math 250
Covers: Through 2.1
Format: 2 statements/definitions; 6 problems/proofs
Seating will be assigned
No alphanumeric/programmable/graphing calculators allowed
Review Session: Tuesday, Oct 2 at 8 PM in NSC 201

Assignment 6--Due Friday, October 19:

Quiz: Wednesday, October 17 on 2.4 (proof of limit theorems)
Note: We are skipping 2.5 for lack of time
p. 38: 6
Read 3.1
p. 49: 1, 2, 4, 5; look at 6
Come prepared to discuss the problems on Wednesday morning in recitation

Assignment 7--Due Friday, October 26:

Quiz: Wednesday, October 24 on 3.1-3.3
p. 53 : 1a, [1b], 3, 4, [5], 6, 7
p. 58 : 1, 3
p. 60 "Problems": 1, 3

Assignment 8--Due Friday, November 2:

Quiz: Wednesday, October 31 on 3.4-4.2 (until the middle of page 69, so (2.2) not included)
p. 60 "Problems for Chapter 3": 2, 5, [7], 8
p. 66: 1, 2, 4, 5
p. 70: 1, 2

Assignment 9--Due Friday, November 9:

Quiz: Wednesday, November 7 on 4.4
p. 76: 1, 2
Do, but do not turn in: [Schaum's outline: p 95: 42, 58a; p 164: 25b,c; p 240 8b,c]
Supplemental problem (hand in): Find the derivative of ln (tan sqrt(x))
p. 80: 1, 2

Exam II

When: Wednesday, Nov 14 at 8:00-9:50 AM
Where: Math 250
Covers: 2.2-2.4, 3.1-4.3
Format: 2 statements/definitions; 6 problems/proofs
Seating will be assigned
No alphanumeric/programmable/graphing calculators allowed
Review Session: Monday, Nov 12 at 7:30 PM in NSC 220

Assignment 10--Due Friday, November 16:

p. 80: 3, 4, [5], 6, 7

p. 90 "Problems": 1 (change "at origin" to "at x = 0"; change "2nd derivative test" to "y' number line")

Assignment 11--Due Monday, November 26:

Turn in: Schaum's outline: p 127: 29, 41

p. 86: 1-3, 5, 6

Note: "look for" means try y = a_0 + a_1 x + ... + a_n x^n

See if you can figure out what n is

Figure out the coefficients a_0, ..., a_n

Assignment 12--Due Friday, November 30:

Quiz: Wednesday, November 28 on 4.4, 4.6, 4.7

p. 86: 4

p. 90 "Problems for Chapter 4": 2-6

do, but do not turn in: Schaum's outline: p 202: 22, 26; p 240: 9b, d

Assignment 13--Due Friday, December 7:

Quiz: Wednesday, December 5 on 6.3

p. 139: 1-3, [4], 5

p. 106: 1, [3], 4-6

p. 116: 1, 5 (We will cover this material in class on Wednesday)