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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 will be given below. In addition,
quizzes (and solutions) will be posted in the table below after they
have been given in recitation sections.
Problems listed in
the first table will be 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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January 14
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- Read the first day of class
handout, available here.
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January 22
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- Testing and evaluating functions
- Finding the domain of a function
- Finding formulas for functions
- Solving equations using functions
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January 29
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- Determining when limits exist or do not exist (graphs)
- Determining when limits exist or do not exist (formulas and tables of values)
- Approximating limits using a calculator
- Calculating limits using algebra
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- Pages 33-35: 3, 5, 7, 11, 13, 15
- Pages 43-45: 1, 3, 7, 11, 15, 17, 25
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February 5
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- Calculating limits as x approaches infinity
- Evaluating infinite limits
- Finding formulas for derivatives using a difference quotient and limits
- Finding formulas for tangent lines
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- Pages 66-69: 9, 13, 15, 19, 21, 31
- Pages 43-45: 7, 11, 13, 19, 23, 25
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February 17 and February 19
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- Finding formulas for derivatives
- Implicit differentiation
- The derivative of f(x) = ex is f'(x) = ex
- The derivative of ln(x) is 1/x
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- Pages 111-112: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
- Pages 119-120: 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37
- Pages 125-127: 3, 5, 7, 9, 11, 13
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February 26
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- Finding derivatives using implicit differentiation
- Solving related rates problems
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- Pages 125-127: 3, 5, 7, 9, 11, 13, 15, 17, 19
- Pages 131-133: 9, 11, 15, 25, 33
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March 26
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- Finding derivatives of functions that include inverse trigonometric or hyperbolic functions
- Related rates
- Finding limits using L'Hopital's rule
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- Pages 180: 17, 19, 21, 23, 29, 33, 39
- Pages 193-194: 3, 7, 15, 17, 21, 23, 43, 45
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April 2
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- Setting up functions from written descriptions of situations
- Using derivatives to find critical points
- Using the first and second derivative to classify critical points as local maximums or local minimums
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- Pages 232-236: 5, 9, 19, 31, 37
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April 9
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- Finding formulas for antiderivatives
- Checking the formula for F(x) to see if it is an antiderivative for f(x)
- Approximating the area under a curve using rectangles
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- Pages 246-247: 3, 5, 7
- Pages 248-250: 51, 53
- Pages 260-261: 3, 5, 11
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April 28
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- Finding formulas for antiderivatives directly
- Finding formulas for antiderivatives using the technique of u-substitution
- Evaluating definite integrals using the technique of u-substitution
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- Pages 298-300: 3, 5, 7, 11, 15, 21, 27, 37, 41, 45, 49
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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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