# 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   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.

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

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