Calculus: Tentative Schedule Spring 2006

Calculus Syllabus - Spring 2006 

• Required Text: Calculus Lite (Third Edition), Frank Morgan, A K Peters, Ltd., 2001.
  This text is available in the bookstore and online from amazon.com.
• Materials from Calculus Fall 2005
  
  

 
Assignment 1, Week of January 2, 2006 

• Read (Calculus Lite) Antidifferentiation, pp. 105-109.
• Reverse Derivatives Period E
• Reverse Derivatives Period F
• SHW 1: Exercises 1-25 (all), pp. 107-109 and Exercise 27, p. 122.
• Quiz 1 is Wednesday, January 11, 2006.
  

Assignment 2, Week of January 9, 2006 

• Read (Calculus Lite) Area, Riemann Integral, FTC, pp. 127-136.
• Calculus Exploration 8A (mws file) Approximate Integration & Area
• SHW 2: Exercises 1-20 (all), pp. 136-138.
• Quiz 2 is Wednesday, January 18, 2006.
  

Assignment 3, Weeks of January 16 & 23, 2006 

• Read (Calculus Lite) Properties of the Definite Integral, pp. 139-144.
• Read (Calculus Lite) Integration by Recognition Substitution, pp. 147-150.
  
• Integration by u-Substitution: Reversing Chain Rules
• Calculus Exploration 8 (mws file) Indefinite & Definite Integrals
• SHW 3: Exercises 1-26 (all), pp. 150-152.
• Quiz 3 is Wednesday, January 25, 2006.
  

Assignment 4, Weeks of January 30 & February 6, 2006 

• Read (Calculus Lite) More Integration by Substitution, pp. 153-156.
  
• SHW 4A and SHW 4B: Exercises 1-7, and 9, p. 157.
• Quiz 4 (Bonus quiz in class) is Wednesday, February 1, 2006.
• Quiz 4 Answers
• SHW 4C More u-Substitution & Trig Substitution.
• Quiz 5 is Wednesday, February 15, 2006 (see below).

Assignment 5, Weeks of February 13 & 20, 2006 

• Read (Calculus Lite) Trig Functions & Their Inverses, pp. 161-165.
• SHW 5: Exercises 1-10, 27-36, pp. 166-168.
  
• Takehome Quiz 5 --Click Here
  

Assignment 6, Week of February 27 & March 6, 2006 (We go back to a topic we skipped in Chapter 8) 

• Read (Calculus Lite) Maxima & Minima: Real World Problems, pp. 61-73.
• SHW 6: Exercises 1-15 (odd), pp. 74-76.
• Note that in SHW6B we will also compute the "Average Value" of modeling functions in SHW 6.
• SHW6B Due Thursday March 9, 2006
  

Assignment 7, Week of March 13, 2006

• Calculus Mini-Project Due Friday March 17, 2006.

Assignment 8, Week of April 2, 2006

• SHW6B Answers
  
  
• Challenge Problem. (Bonus)
  Consider the answers to SHW6B posted immediately above. In each exercise we computed the
  Average Value of the function between its two x-intercepts. Further, in each case the Average
  Value of the given function between its two x-intercepts turned out to be exactly 2/3 of the
  maximum value of the function between its two x-intercepts.
  Question 1. Is this last statement in red always true for any function ?
  Show that the answer to this question is "no" by finding a counter-example.
  Question 2. Possibly the statement in red is true for all functions that are "like" the functions
  in the answers to SHW6B ? Answer this question by proving or disproving it.
  
  
• Revise your Calculus Mini-Project according the the suggestions listed on your paper.

Final Project - Due Thursday, April 27, 2006

• Instructions and Timetable
• Final Project Chapters 3 & 4. Special Points Examples:
  Example 1 ,  Example 2 ,  Example 3
• Final Project Chapters 3 & 4. Special Points Visual Quizzes:
  Visual Quiz 1, Visual Quiz 2, Visual Quiz 3, Visual Quiz 4