CalculusBC: Tentative Schedule Spring 2006


CalculusBC Syllabus - Spring 2006 

 
Topic 1: Polar Coordinates 

Topic 2: Infinite Series

  • Infinite Series (Salas & Hille Sections 13.1-13.2)
  • SHW 12: Exercises 1-18, 27-36, 43, 44, 46, pp. 655-656.
  • SHW 13: Exercises 1-29 (odd), pp. 663-664.
  • Quiz 2 is Wednesday, January 25, 2006.
  • SHW 14: Exercises 1-33 (odd), pp. 668-669.
  • Quiz 3 is Wednesday, February 8, 2006.
  • p-series Paper Due: Tuesday, February 21, 2006.
  • SHW 15: Exercises 1-23 (odd), pp. 674.
  • SHW 16: Exercises 1-20 (all), pp. 685-686.
  • SHW 17: Exercises 1-27 (odd), pp. 690-691.
  • Calculus Exploration 14 (mws file) Taylor Polynomials - The Movie


Weeks of April 3 & 10, 2006

  • Challenge Problem. (Bonus)
    Consider SHW6B Answers (this is from the other calc class). 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.
  • SHW 18: Slope Field Exercises (pdf file) - Nancy Stephenson
  • SHW 19: Calculus Exploration 15A (mws file) Visualizing Slope Fields
  • SHW 20: Calculus Exploration 15B (mws file) Visualizing Euler's Method
  • SHW 21: More DE Exercises