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