Math 131: Calculus II

Offered:     Fall 2004
Instructor:  Kevin J. Mitchell
Office: Lansing 305 
Phone:  (315)781-3619
Fax:    (315)781-3860
E-mail: mitchell@hws.edu

Office Hrs:  M & W & F 1:30 to 3:00, Tues 9:30 to 11:00. 
             Often available at other times by appointment.

Class:       Section 131-02: M-W-F 8:00 to 8:55 in Napier 101
             Lab: Thurssday 11:55 to 1:20 in Gulick 206A
             Final Exam: December 15, 2005 at 1:30 PM
Text:        Calculus of a Single Variable (Early Transcendental Functions): Third Edition 
             by Larson, Hostetler, & Edwards
             
Math Interns: Lansing 3rd Floor
              Sunday 6:30-10:00
              Monday through Thursday 3:30-5:00 (4:30 on Tuesday), and 7:00-10:00
              Friday  3:30-5:00

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Course Materials and Links

Answers to Hand-In Problems are posted by my office door (once the assignment has been collected).

Assignments, Labs, and Answers require Adobe Acrobat Reader (see #2) which comes with most web browsers.

• Course Syllabus
• Download Adobe Acrobat Reader (tm)
• Assignment for Day 1.
• Assignment for Day 2.
• Lab 1 with Answers.
• Assignment for Day 3 with Quiz Answers.
• Assignment for Day 4.
• xFunctions Applet for Riemann Sums. The applet should work in any of the labs on campus. It will work on your personal machines only if you have JAVA installed.
• Assignment for Day 5.
• Lab 2 and Answers.
• Assignment for Day 6.
• Assignment for Day 7.
• Assignment for Day 8
• Lab 3 with Answers and Bonus Tracks.
• Assignment for Day 9.
• Assignment for Day 10.
• PracTest 1 with Answers.
• Assignment for Day 11.
• Lab 4 and Practest 1.ii.
• Test 1: Day 12.
• Assignment for Day 13.
• Assignment for Day 14.
• Lab 5 with Answers and Quiz (but no Quiz Answers).
• Assignment for Day 15.
• Assignment for Day 16 with correction and Extra Credit.
• Assignment for Day 17.
• Lab 6 with Answers.
• Assignment for Day 18.
• Assignment Day 19.
• Lab 7 and Answers.
• Bonus: Copy this file to your M-drive on the colleges' network. Then click on the file to start the program. If that does not work, try opening it from within Maple application which you should be able to find on the colleges' network. You can use it to check all your homework answers. Maple Worksheet. Note: PC Users should right-click on the link; Mac Users should alt-click on the link.
• Assignment for Day 20.
• Assignment for Day 21.
• Assignment for Day 22.
• Lab 8.
• Assignment for Day 23.
• NOT Test 2: Practest 2 with Answers. Note: Watch for typos! Please let me know if you find any.
• Test 2: Day 24.
• Assignment for Day 25 and Maple Instructions.
• Lab 9. Maple Lab 9. Note: PC Users should right-click on the link; Mac Users should alt-click on the link.
• Assignment for Day 26.
• Assignment for Day 27.
• Assignment for Day 28.
• Lab 10.
• Assignment for Day 29.
• Triangle Substitution Handout.
• Assignment for Day 30.
• Quiz Day 31.
• Assignment for Day 31.
• Lab 11.
• Lab 11 Answers, Part 1.
• Lab 11 Answers, Part 2.
• Assignment for Day 32.
• Assignment for Day 33.
• Assignment for Day 34: Practest 3 with answers.
• Lab 12.
• Test 3 Answers: Day 36.
• Assignment for Day 36 (Really 37).
• Assignment for Day 38.
• Lab 13 with Answers.
• Assignment for Day 39.
• Assignment for Day 40.
• Assignment for Day 41.
• Lab 14 and Final Review.
• Answers for Lab 14 and Final Review. There may be corrections or additions later. Check back.
• Extra Credit Assignment for Day 42.

Outline of Weekly Readings

This assumes a fairly rapid pace through the listed materials. We may need to adjust this schedule based on our actual work in class.

• August 30-September 3: Introduction, Antiderivatives, Summation Notation, the Area Problem. 4.1, 4.2.
  
• September 6-10: Riemann Sums, The Definite Integral, and The Fundamental Theorem of Calculus. Chapter 4.3-4.4.
  
• September 13-17: Integrals using Substitution, Log Functions. If time permits: Numerical Integration. Chapter 4.5 and 4.7 (4.6).
  
• September 20-22: Inverse Trig Functions (Triangle Substitution). Chapter 4.8, Handout.
  
• Friday, September 24: First Hour Test.
  
• September 27-October 1: Differential Equations: Growth and Decay, Separation of Variables. Chapter 5.1-5.2.
• October 4-8: First Order Linear Differential Equations. Applications: Area Between Curves. Chapter 5.3, 6.1.
  
• October 13-15: Applications: Volumes. Chapter 6.2-6.3.
  
• October 18-22: Applications: Volume, Work. Chapter 6.3, 6.5.
  
• Monday, October 25: Second Hour Test.
  
• October 27-29: Application: Arc Length, Integration Techniques: Parts. Chapter 6.4, 7.2 (Review 7.1).
  
• November 1-5: Integration Techniques: Parts, Trig Integrals. Chapter 7.2-7.3.
  
• November 8-12: Integration Techniques: Trig Substitution, Partial Fractions. Chapter 7.4-7.5.
  
• November 15-19: Using Integral Tables. L'Hopital's Rule. Improper Integrals. Chapter 7.6-7.7
  
• Monday, November 22: Third Hour Test.
  
• November 29-December 3: Sequences, Series. Chapter 8.1, 8.2
  
• December 6-10: Tests for Convergence: Integral Test, Comparison Test. Chapter 8.3-8.4
  
• Final Exam December 15 at 1:30 PM.

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