Lab Assignments for Calculus II (Math 142), Spring 2011

Lab
Description
Assignment
Related Textbook Sections
Maplets for Calculus
A Maple Lab for Calculus II
New User's Tour
Complete New User's Tour
Review the Calculus I Maple labs
   
B Review of Calculus I Stewart text:
Problem 44 on page 181
Problem 14 on page 267
Problem 40 on page 410
   
C Integration Methods I: by Substitution and by Parts Stewart text:
Problems 44 & 66 on page 407
Problems 28 & 36 on page 458
Stewart: Sections 5.5 and 7.1
CalcLabs: Sections 6.3 and 6.4
Integration by Substitution
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Integration by Parts
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D Integration Methods II: Partial Fractions & Trigonometric Substitutions
Stewart text:
Problem 34 on page 482
Problem 67 on page 483
CalcLabs with Maple:
Problem 15 on page 108
Stewart: Sections 7.3 and 7.4
CalcLabs: Section 6.5
Partial Fractions: General Decomposition
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Partial Fractions: Evaluating the Integral
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Trig Substitution
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E Improper Integrals Review Labs A-E. Stewart: Section 7.8  
F   Hour Quiz 1
(completed in lab)
   
G Applications of Integration I: Areas Between Curves Stewart text:
Problems 23, 36, 38 on page 420
Stewart: Section 6.1
CalcLabs: Section 7.1
Area of a Region by Slicing
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H Applications of Integration II: Volume By Definite Integral Stewart text:
Problem 37 on page 431
Problem 33 on page 437
Stewart: Sections 6.2 and 6.3
CalcLabs: Section 7.2
Volumes of Revolution
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Volumes by Slicing
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I Applications of Integration III: Area of a Surface of Revolution Project: The Skimpy Donut
(Project Report Guidelines)
Stewart: Section 8.2  
J Sequences and Series Stewart text:
Problems 24, 50, 70 on pages 685-686
Stewart: Sections 11.1 and 11.2
CalcLabs: Sections 9.1 and 9.2
SequenceDrill
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K Series: Convergence Tests Review Labs G-K for Hour Quiz 2. Sewart: Sections 11.3 to 11.7
CalcLabs: Section 9.3
SeriesConvergenceTestDrill
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L   Hour Quiz 2
(completed in lab)
   
M Power Series and Taylor/Maclaurin Series   Sewart: Sections 11.8 to 11.10
CalcLabs: Section 9.5
 
N Complete the Maple Lab Survey and Technology Survey on Blackboard.      


Notes:

  • Each Hour Quiz will be distributed at the beginning of the lab period and collected at the end of the lab period.  You can use the textbook, your notes, the computer, Maple, or any other inanimate source to answer the questions. The questions will be related to the concepts and techniques addressed in previous labs.
  • Projects are longer collections of related questions that can be answered with the skills and knowledge learned in the labs and lectures for this course. A project report will be due at the beginning of the next lab period.
  • The maplets are most easily run with the Maplet Viewer (available only for Windows). On other platforms, save the file, load the file into a Maple session (just as you would any other Maple worksheet), and execute the entire worksheet. This will start the maplet.
  • Portable Document Format (PDF) files are viewable with Adobe Reader Download Adobe Reader .

  • If you have any questions, please send e-mail to sanders@math.sc.edu