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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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- Finding parametric equations for curves in the xy-plane
- Graphing curves defined by parametric equations (formulas or graphs)
- Finding derivatives and tangent lines to points on parametric curves
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- Pages 486-488: 3, 9, 19, 21, 27(a)
- Pages 494-495: 3, 5, 9, 13, 15, 41
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January 29
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- Drawing regions and curves in the xy-plane defined by polar equations
- Converting polar equations to Cartesian equations (and vice versa)
- Finding equations of tangent lines to curves defined by polar equations
- Finding areas defined by polar equations
- Calculating arc lengths of polar curves
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- Pages 502-504: 7, 9, 11, 13, 15, 17, 19, 23, 27, 33, 47, 51
- Pages 508-509: 3, 5, 7, 9, 11, 15, 21, 29, 33
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February 5
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- Conic sections in Cartesian and polar coordinates
- Lines, planes and spheres in 3D
- Representing and combining vectors
- Lengths of vectors
- Applications of vectors to physics
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- Page 514: 9, 11, 13
- Pages 521-522: 5, 11, 13, 19, 21, 25, 29, 31
- Pages 529-530: 3, 11, 15, 17, 21, 25
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February 19
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- Cross product of vectors
- Equations of lines in 3D
- Equations of planes in 3D
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- Pages 543-545: 9, 11, 13, 23, 25, 29, 31
- Pages 551-553: 3, 5, 7, 11, 13, 21, 23, 25, 27
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February 26
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- Identifying and sketching planes in 3D
- Identifying and sketching cylinders in 3D
- Identifying and sketching quadric surfaces in 3D
- Showing that limits do not exist in 2D
- Showing that limits do exist in 2D
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- Page 558: 3, 5, 7, 11*, 13*, 15*, 21, 25, 27
- Page 608: 5, 7, 9, 11
*Don't worry about traces in these problems.
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March 26
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- Solving constrained optimization problems using Lagrange Multipliers
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- Page 658-659: 1, 3, 5, 9, 15, 21, 39
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April 2
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- Evaluating double integrals defined on rectangles and general regions
- Setting up double integrals on rectangles and general regions
- Using double integrals to calculate volumes of 3D shapes
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- Pages 672-674: 11, 13, 15, 17, 21, 23, 27, 31
- Pages 680-682: 1, 5, 7, 11, 13, 17, 19, 37, 39
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April 9
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- Evaluating double integrals defined on general regions
- Setting up double integrals on rectangles and general regions
- Using double integrals to calculate volumes of 3D shapes
- Setting up triple integrals to calculate volumes of 3D shapes
- Evaluating triple integrals defined on general regions
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- Pages 680-681: 23, 25
- Pages 686-687: 13, 17, 19
- Pages 700-702: 3, 5, 13, 15, 17
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April 28
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- Drawing two-dimensional vector fields
- Matching formulas for vector fields with pictures of the vector fields
- Calculating line integrals of functions directly
- Calculating line integrals of vector fields directly
- Calculating line integrals using Green's Theorem
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- Pages 731-732: 3, 11-14, 21, 23
- Pages 740-742: 1, 3, 5, 7, 17, 19, 21
- Pages 756-757: 1, 3, 9, 11
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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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