University of Memphis

University of Memphis
Dept Math Sciences
MATH 1920 - Calc II
Spring 2025
Dwiggins

To help prepare for quizzes and tests,
use the following practice exercises
taken from the end of the textbook sections.
Check your answers against the posted solutions,
and during the next class we can go over whichever
problems you had trouble with.

Extra Credit Homework Assignment # 3 (Due Wednesday, April 30)
Do the following review exercises from the end of the chapter:
Chapter Ten = # 12, # 18, # 24, # 28, # 38
Chapter Eleven = # 12, # 18, # 22, # 30, # 34, # 56
Note: these are the problem exercises, not the ones
from the "Concept Check" or the "True-False Quiz".

Test # 4, scheduled for Tuesday, April 22,
will cover Chapter 10 and the last part of Chapter 11.
Practice exercises are listed below, along with a few
more exercises from Chapter 10.

Section 10.2, # 35, # 37 (Parametric Area)
Section 10.2, # 47, # 49 (Parametric Arclength)
Section 10.4, # 49, # 51, # 53 (Arclength in Polar Coordinates)
Section 10.4, # 69, # 71 odd (Polar Tangent Lines)

Section 11.8, # 3-19 odd (Convergence for Power Series)
Section 11.9, # 3-13 odd, # 27, # 29, # 31 (Power Series Functions)
Section 11.10, # 19-27 odd (Taylor Series)
Section 11.10, # 55-63 odd (Using Series to Approximate Integrals)
Section 11.11, # 13-17 odd (More Approximation Techniques)

Section 10.1, # 1-17 odd (Parametric Curves)
Section 10.2, # 3-13 odd, # 25, # 31, # 39, # 61 (Parametric Calculus)
Section 10.3, # 1-19 odd (Polar Coordinates)
Section 10.4, # 5-19 odd (Polar Calculus)
Section 10.6, # 9-19 odd (Polar Conics)

Section 8.1, # 9-17 odd, # 21, # 41 (Arclength)
Section 8.2, # 7-15 odd (Surface Area)
Section 8.3, # 21-29 odd, # 41, # 45, # 47 (Moments and Centroids)

Extra Credit Homework Assignment # 2 (Due Friday, April 4)
Do the following review exercises from the end of the chapter:
Chapter Seven = # 2, # 4, # 6, # 8, # 20, # 22, # 52, # 54
Chapter Eight = # 4, # 6, # 7, # 16
Note: these are the problem exercises, not the ones
from the "Concept Check" or the "True-False Quiz".

Section 11.4, # 1-19 odd (Series Comparison Tests)
Section 11.5, # 1-15 odd, # 23-29 odd (Alternating Series)
Section 11.6, # 3-15 odd, # 25-35 odd (Ratio and Root Tests)
Section 11.7, # 1-15 odd (Putting it all together)

Section 7.1, # 1-21 odd, # 43, # 53, # 57, # 61 (Integration By Parts)
Section 7.2, # 1-29 odd, # 61, # 69 (Trigonometric Integrals)
Section 7.3, # 1-21 odd, # 37 (Trig Substitutions)
Section 7.4, # 7-27 odd, # 39, # 41, # 39, # 61, # 65 (Partial Fractions)
Partial Fractions Homework (Solutions)

Extra Credit Homework Assignment # 1 (Due Friday, February 21)
Do the following review exercises from the end of the chapter:
Chapter Six = # 4, # 8, # 10, # 18, # 30, # 34
Chapter Eleven = # 2, # 4, # 6, # 8, # 16, # 36
Note: these are the problem exercises, not the ones
from the "Concept Check" or the "True-False Quiz".

Section 6.1 (Area Between Curves): # 1, # 3, # 5, # 11-27 odd, # 39, # 41
Section 6.2 (Volumes of Revolution): # 1, # 3, # 11, # 15, # 17, # 19
Section 6.3 (Washers versus Shells): # 3-13 odd (Do each problem two ways,
first using Shells and then using Discs or Washers.)
Section 6.4, # 7, # 9, # 11 (Work as an Integral)
Section 6.5, # 1-15 odd (Average Value)

Section 11.1 (Numerical Sequences): # 3-19 odd, # 29-43 odd, # 65, # 67
Section 11.2 (Infinite Series): # 15, # 17, # 25, # 33-39 odd
Section 11.3 (Integral Test): # 3-17 odd
Section 11.3 (Integral Remainder Theorem): # 39, # 41

Section 7.8 (Improper Integrals): # 1, # 5-15 odd

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