Files for Homework Assignments

• Online submission form for What are the Features of a Good Explanation?
• Prime Time System Task
• Online submission form for Prime Time System.
• Problem Set 1
• Online submission form for special problem on Problem Set 1!
• Problem Set 2
• Problem Set 3
• Online submission form for last problem in Problem Set 3.
• Problem Set 4 -- due Friday Feb 11
• Ferris Wheel and Tide Tasks
• Online submission for form Ferris Wheel and Tide Tasks
• Problem Set 5 -- due Friday, March 18
• Problem Set 6 -- due Tuesday, March 29
• Problem Set 7 -- due Friday, April 1

Assorted Class Summaries and Slides

• Class Summary: Feasting on Leftovers.
  Decimal representations of rationals must eventually terminate or repeat.
• Class Summary: Intro to Polynomials and Complex Numbers.
  Long division algorithm for polynomials, Conjugate Pair Theorem, Degree n Theorem, complex number arithmetic.
• Class Slides: Techniques for Finding Roots (Weds Feb 2, 2011)
• Class Slides:Conjugate Pair Theorem (Mon Feb 7, 2011)
• Class Slides: Finding Roots of 1 (Weds Feb 9, 2011)
• Class Slides: DeMoivre's Theorem (Mon Feb 14, 2011)
  [Week 8 featured exam review and exams. Spring Break followed.]
• Class Slides: Defining Functions, Inverses, Part I
      &  Sequences, Epsilons, and Limits (Introduction). (Mon March 7, 2011)
• Class Slides: Defining Functions, Inverses, Part II
      &  Sequences, Epsilons, and Limits (Continued). (Wed March 9, 2011)
• Class Slides: Sequences, Epsilons, and Limits (The Conclusion). (Mon Mar 14, 2011) Note: the material on Sequences, Epsilons, and Limits is taken from Kyeong Hah Roh's work on using epsilon-strips to scaffold student understanding of the epsilon-N definition of limits.
• In-class handouts for Week 10 (cTools link)
• Class Slides: Least Upper Bound Property. (Mon Mar 16, 2011)

Additional References and Readings

• The Radical Rational -- What are the Features of a Good Explanation?
• Working Characterization of a Good Explanation of Mathematical Reasoning.
  Also available in [MSWord].
• Explanation of Synthetic Division.
  (alternative explanation from the textbook, for Problem Set 4)
  Richard Rusczyk & Sandor Lehoczky. Art of Problem Solving, Vol. 2. pp. 54-59.
• Explanation of Complex Numbers.
  (alternative explanation from the textbook, for Problem Set 4)
  Richard Rusczyk & Sandor Lehoczky. Art of Problem Solving, Vol. 2. pp. 88-93.
• Definition of Sin, Cos.
  (alternative explanation from the Math486 textbook, taken from the Math105 required text, for Problem Set 5)
  Connally, Hughes-Hallett, Gleason, et al. Functions Modeling Change: A Preparation for Calculus. pp. 250-251.

Even More Readings and Links--provided for the fun of self-edification!

• Math Fun Facts (by Professor Francis Su of Harvey Mudd College)
• Proof of the Fundamental Theorem of Algebra (using winding numbers)
• Accompanying discussion sheet for reading through the proof of FT Algebra
• Connecting the many faces of e via the Fundamental Theorem of Calculus and some other tools