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Many of the files on this site are posted in PDF format. If you
have any trouble reading them, try downloading the latest version
of the free Adobe
Acrobat Reader software.
Suggested review
problems for quizzes are given in the table below. In addition,
quizzes (and solutions) are posted in the table below after they
have been given in recitation sections.
Problems listed in
the first table are taken from the course textbook, Essential
Calculus: Early Transcendentals by James Stewart. Any review
problems not taken from the text will be posted here in PDF
format.
Quizzes are normally in recitation on Thursdays.
There will be ten quizzes over the course of the semester. The
lowest two quiz scores will be dropped at the end of the semester.
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Date
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Topics Quizzed
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Suggested Problems
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August 28
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Course policies
U-substitution
Integration by parts
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Read the first day of class
handout, available here.
Pages 299-300:11,
15, 17, 29, 37, 41, 49, 61
Pages 309-310: 3, 9, 17, 21, 41, 43
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September 4
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Pages 319-320: 3, 5, 13, 15, 19, 25, 27, 41,
45, 47, 53, 57
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September 11
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Partial fractions Completing the square Polynomial long division
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Pages 327-328: 9, 11, 15, 19, 21, 23, 35, 39
Click here for additional problems.
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September 25
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- Convergence and divergence of improper integrals
- Calculating areas between curves in the x-y plane
- Using integrals to calculate volumes (of revolution and otherwise)
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- Pages 352-354: 5, 7, 9, 15, 17, 19, 25, 41, 43
- Pages 361-362: 1, 5, 7, 27
- Pages 370-373: 1, 3, 7, 11, 13, 27, 33, 35
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October 2
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- Calculating volumes with the Method of Shells
- Calculating mass from a density function
- Finding the center of mass of an object
- Calculating hydrostatic pressure and hydrostatic force
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October 9
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- Estimating functions values using Euler's method
- Sketching graphs of functions using Slope Fields
- Solving differential equations using Separation of Variables
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October 30
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- Setting up and solving differential equations from word problems
- Solving first order differential equations using Separation of Variables
- Solving first order differential equations using Integrating Factors
- Solving second order, homogeneous differential equations with constant coeffients
- Solving second order, nonhomogeneous differential equations using the Method of Undetermined Coefficients
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November 6
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- Convergence and divergence of infinite series using partial sums
- Behavior of SN and an as N and n approach infinity
- Convergence and divergence of infinite series using convergence tests, including:
- The nth term test for divergence
- The integral test
- The ratio test
- The comparison test and p-series
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- Pages 427-429: 11, 13, 19, 21, 32 (Answer: an = (n - 2)/2n and the sum of the series is 3.)
- Pages 436-437: 7, 9, 13, 15, 17
- Pages 446-447: 21, 25, 27, 39
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November 13
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- Creation of Taylor Series by taking derivatives and using the definition of a Taylor series
- Convergence and divergence of infinite series using convergence tests, including:
- The nth term test for divergence
- The integral test
- The ratio test
- The comparison test and p-series
- The alternating series test
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- Pages 436-437: 11
- Pages 446-447: 5, 7, 19, 23
- Pages 456-458: 3, 9, 11 (Do not find radius of convergence or interval of convergence, just the Taylor series.)
- Pages 469-471: 5, 7, 9 (Note that a MacLaurin series is just a Taylor series with a = 0 and that sinh(x) = (ex - e-x)/2.)
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December 4
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- Creation of Taylor Series by taking derivatives and using the definition of a Taylor series
- Creation of Taylor Series by adapting an existing Taylor Series
- Radius of convergence
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- Pages 456-458: 15, 17
- Pages 469-471: 11, 13, 15, 17, 25, 29, 31, 33, 37 (Note that a MacLaurin series is just a Taylor series with a = 0.)
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Quizzes that have been given in recitation sections are
listed below. Click on the links in the table to download the quiz
and its solutions (both in PDF format).
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