- 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

- 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)

- 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.

- 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