Assignments

Week 15

Optional:

  • Read Sections 8.1 through 8.3.
    Problems # 1, 2, 4, 5 p. 202; # 1 p. 207; # 3, 5, 10 p. 208; # 2 p. 211; # 3 p. 212.
  • Read Section 9.1 and review all of the convergence tests for series. Read Section 9.5.
    Problems # 1 p. 239; # 2, 3, 8 p. 240; # 2, 3, 4, 7 p. 262; # 12, 14 p. 263.

For the quiz: Problems # 5, 6 p. 244; # 3, 4, 5, 6, 7 p. 249; # 1, 2, 3, 4, 5 p. 254; # 8 p. 249.

Quiz on Wednesday, December 10

Week 14

Problems # 1, 2, 4 p. 164; # 5, 6 p. 165; # 1, 2 p. 172; # 4, 5, 7, 10, 11 p. 173.

Quiz on Wednesday, December 3

Week 13

Problems # 1, 2, 3, 6, 7 p. 149; # 10, 12, 13 p. 150; # 2, 3, 6 p. 155; # 1, 2, 3 p. 159; # 5, 6, 9 p. 160.

Quiz on Wednesday, November 26

Week 12

Read Chapter 5.
Problems # 1, 2, 4, 5 p. 141; # 7 p. 142.

Quiz on Wednesday, November 19

Week 11

Read Sections 4.4 and 4.5.
# 1, 4, 5, 7* p. 108; # 9, 11, 12*, 14, 15 p. 109; # 19, 20*, 21*, 22, 23* p. 110.
Starred problems are optional.

Quiz on Wednesday, November 12

Test on Friday, November 14

Week 10

Problems # 8 p. 85 (use the sequential defition of limits); # 9, 10 p. 86; # 2, 3, 4, 6, 8 p. 94; # 12, 14, 15, 16, 18 p. 95; # 1, 2 p. 100; # 4, 5, 7*, 9* p. 101.
Starred problems are optional.

Quiz on Wednesday, November 5

Please fill out the D2L questionnaire (under quizzes, called "Calculus I contents"), by Wednesday, November 5


Week 9

Problems # 1, 2, 3, 4 p. 65; # 7, 8 p. 66; # 1, 2, 3, 5 p. 80; # 10, 11, 12, 13, 14, 15 p. 81.
Using the epsilon-delta definition of limits: # 1, 2, 3, 4 p. 85.

Quiz on Wednesday, October 29


Week 8

  • Problems to be solved using the epsilon-delta definition of continuity: # 1, 2, 3, 4 p. 73; # 6 p. 74.
  • Other problems: # 10 p. 74; # 6 p. 57; # 11 p. 58; # 2, 3, 4, 6, 7, 8, 10, 11 p. 69; # 1, 3, 4 p. 61; # 6, 7 p. 62. Unless othewise specified in the wording of each of these problems, you may use the definition of continuity of your choice to solve them.

Quiz on Wednesday, October 22


Week 7

Problems # 1, 2 p. 46; # 3, 4, 6, 7, 8, 10 p. 47; # 1, 2, 3, 5, 7 p. 57; # 8, 9, 10, 12 p. 58. Note: All of the problems on pages 57-58 have to be solved using the epsilon-delta definition of continuity.
Also using the epsilon-delta definition of continuity:

  • Prove that the sum, product, and quotient (when defined) of two continuous functions defined on the same domain D are continuous.
  • Prove that if p and q are polynomials, then p/q is continuous wherever it is defined.

Quiz on Wednesday, October 15


Week 6

Problems # 1, 3, 4, 5 p. 37; # 1, 2, 3, 4, 8, 9 p. 42; # 10, 11 p. 43.

Quiz on Wednesday, October 8


Week 5

Problems # 1 p. 32; # 6, 7, 9, 10 p. 33; # 11, 13, 15, 17 p. 34; # 18 p. 35.

Quiz on Wednesday, October 1
Test on Friday, October 3


Week 4

Problems # 3, 4, 5, 6, 7 p. 19; # 11, 12, 13, 14, 15, 17 p. 20; # 19, 21, 22 p. 21.
Also, prove the "difference of powers formula" (p. 18) by induction.

Quiz on Wednesday, September 24


Week 3

Problems # 1, 3, 4, 5, 6, 7 p. 16.

Quiz on Wednesday, September 17


Week 2

Problems # 1, 2 p. 10; # 6, 7, 8, 10, 13, 14, 15 p. 11; # 19, 20 p. 12.

Quiz on Wednesday, September 10


Week 1

Read the preliminaries (pages 1-4) and Appendix A (pages 559-564). Make sure you understand (and therefore know how to do) all of the proofs.

Quiz on Wednesday, September 3