Homework Assignments

All graded homework assignments are posted and submitted on our WebWork page. If you are off campus, you'll need to VPN to the campus network in order to access the WebWork server. If you are on campus and having trouble accessing this page, make sure you aren't on the "eduroam" network. We will discuss username and password information on the first day of class.

Optional problems

In addition to the assigned problems, there will also be a number of optional problem sets that are posted, either on WebWork or on this site (or both). Optional problems from the text will generally be odd-numbered, so that solutions are available at the end of the book. Optional problems on WebWork will have answers available immediately upon posting.

  • Section 5.1 (Areas of functions): 2, 11, 13, 14, 15
  • Section 5.2 (Riemann sums): 5, 7, 9, 15 (use the Desmos Riemann Sum Calculator), 32, 33, 35, 37, 48, 49
  • Section 5.3 (FToCII): 1--27 (odd), 31, 46, 48
  • Section 5.5 ($u$-substitution): 1--35 (odd), 39, 43, 47, 51, 53, 55
  • Section 5.6 (Integration by parts): 3--23 (odd), 25, 29
  • Section 5.7 (Trig substitutions): 1--9 (odd), 13, 15
  • Section 5.10 (Improper integrals): 1, 2, 5--13, 17--33 (odd)
  • Section 4.5 (l'Hospital's rule): 7--13, 19, 21, 25, 27, 31
  • Section 6.1 (Area between curves): 1, 3, 5--17 (odd)
  • Section 6.2 (Volume as cross-sectional integral): 27, 31, 33, 35, 39, 41, 43
  • Section 6.2 (Washer method): 1--17 (odd), 25, 45, 47(b)
  • Section 6.3 (Shell method): 1--17 (odd), 23, 37
  • Section 6.4 (Arc length): 1--5, 9, 11
  • Section 8.1 (Sequences): 1--27 (odd), 41
  • Section 8.1 (Intro to series): 1, 7, 47
  • Section 8.2 (Divergence test; Geometric Series; Telescoping series): 1--29 (odd), 35, 49, 51, 53
  • Section 8.3 (Integral test for series): 1, 5, 6--8, 11 -- 17 (odd), 23, 31
  • Section 8.3 (Comparison tests for series): 3, 9, 19, 21, 25, 27, 29
  • Section 8.4 (Alternating series test; absolute and conditional convergence): 1--9 (odd), 13
  • Section 8.4 (Ratio test): 21--33 (odd), 37, 41, 42
  • Section 8.5 (Power series; Interval and radius of convergence): 3--27 (odd)
  • Section 8.6 (Calculus on geometric series): 1, 11, 13, 37
  • Section 8.7 (Taylor and MacLaurin series): 1, 3, 5--17 (odd), 25--31 (odd), 35, 37, 43, 51--55, 59--65
  • Section 8.8 (Taylor polynomials): 3--7 (odd; no graphing required)
  • Chapter 8 review (page 628): 31, 33, 34--36, 37, 39, 41, 45, 49