Math 172 - Calculus II
Fall 2015 | Rogawski - 2nd edition
Below is a list of suggested exercises from the 2nd edition of Rogawski.
Many of them are identical to those of the third edition:
Section | Suggested Textbook Homework | Extra | Media | Topic |
---|---|---|---|---|
5.6 | 1,3,4,5,7,11,13,15,17,27,33,39,41,49,54,55, 65,69, 71,74,79,83,87,89 |
1 2 | Substitution | |
5.7 | 7,9,11,12,14,15,20,25,35,39,40,46,47,49,53,59,68 | 12 | Inverse Trig. Integrals | |
6.1 | 1,3,6,7,9,14,17,27,31,39,43,50 | 12 | Area between curves | |
6.2 | 1b,3,5,6,11,13,23,25,27,29,33,45,49 | 12 | Volumes, Averages (no flow rates) |
|
6.3 | 1,3,6,7,9,11,15,17,19,27,30,33,35,36,37,39,45,46,51 | 123 | Volumes of Revolution | |
6.4 | 1,3,5,7,9,21,23,33,35,37,39,42,45,46 | 12 | Volumes via Shells | |
6.5 | 11,13,15,17,19,20,21 | 12 | Work and Tanks | |
7.1 | 1,2,5,6,9,11,13,19,23,25,28,37,39,41,43, 45,47,51,53,72 |
1234 | Integration by Parts | |
Midterm 1 | ||||
7.2 | 1,2,3,5,9,15,17,23,24,29,33,35,41,42,43,44,45, 47,51,53,57,59 |
1234 Supplemental Notes HW7.2_Solns |
Trigonometric Integrals | |
7.3 | 1,3,6,7,11,12,15,17,19,23,25,29, 37,39,43,44,45,46,53,55 |
1234 | Trigonometric substitutions | |
7.4 | not covered | none | Inverse Hyperbolic Fns. | |
7.5 | 1,2,5,7,11,13,17,22,29,32,33,34*,35, 45, 46 (u=x+2),47 (u=e^x),53,54,55,57,60 |
1234 | Partial Fractions | |
Strategies of Integration (7.6) of 3rd edition is not in the 2nd edition. You may want to use Review 1 as a substitute. |
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7.6 | 1,2,5,11,13,17,20,21,25,27,31,33,37,41,43,55 61,63,67,69 |
123 | Improper Integrals | |
7.7 | 1,2,3,5,11,13 | none | Probability | |
7.8 | not covered | Numerical Integration | ||
8.1 | 1,3,5,7,10,15 (implicit diff to get y'),19,21,33, 34,35,39 (perfect square under radical) | 123 | Arclength, Surface area | |
8.2 | 1d,2a,2d,3,4a,4c,5,10 (is 441,000N),12,15 | 1 | Fluid Pressure | |
8.3 | not covered | Center of Mass | ||
Midterm 2 | ||||
10.1 | 15,16,17,21,23,25,35,39,40 (take logs),43,45 51,55, 57,61,63,65 |
12 | Sequences | |
10.2 | 1,3,5,11,12,13,17,18,21,23,25,27,29,31,37 | 123 | Summing Series | |
10.3 | 1,3,9,10,11,15,16,24,25,31,39,41,43,45 47 (L'Hopital),49,51,55,59,63 (1/(n*ln(n)),69,75,77 |
123 | Series Convergence | |
10.4 | 3,5,6,7,9 (n>(ln(n))^2),12,13,19,22,23,24,27,30 | 123 | Abs. & Cond. Convergence | |
10.5 | 1,3,5,6,9,13,17,19,27,29,31,36,37,39,41,43-48,51,52,55 | 12 | Ratio/Root tests | |
10.6 | 1,3,5,7,9,12,15,19,21,23,27,29,33,35,41 | 12 | Power series | |
10.7 | 1,3-15(odd),19,21,27,29,31,32,33,35,41,63,65,67,81,83 | 123 | Taylor series | |
Midterm 3 | ||||
11.1 | 7,9,11,13,19,23,25,26,27,31,35,43,49,51,53,55,57,61 | 12 | Parametric Equations | |
11.2 | 1,3,4,7,9(hard),12,15,17,19 | 1 |
Arclength, speed | |
11.3 | 3,5,11,13,15,17-21,24,27,29,37 | 123 | Polar Coordinates | |
11.4 | 1,3,5,7,9,11,13,19,25,27,30 (Hard: u=sin(theta)) | 123 | Area/Arclength in Polar | |
11.5 | none | Conic sections | ||
Review | 1) Integration worksheet (simple/medium) 2) Chapter 11 "review" is the homework |
Review_3 | ||
TECBL - Technology Enhanced Criteria Based Learning: Updated on: 09/2016.