Date	Topic	Reading Assignment	Problems
Monday, January 17	Course Procedures Discussed Begin work on Exponents Excursion	*	**
Wednesday, January 19	Positive Integer Exponents	Excursion on Exponents pgs. 211-213 Proof of Theorem 1.4.8 in Chapter 1.	Class: 3.1.1-3.1.8.
Friday, January 21	Roots and Rational Exponents	Excursion on Exponents pgs. 213-215	Class: 3.1.10-3.1.15. Notebooks: Theorem 3.1.9
*
Monday, January 24	Rational Exponents---cont.	*	Class: 3.1.16-3.1.20 (1-3) Notebooks: Theorems 3.1.20(4-5) and 3.1.21
Wednesday, January 26	Finish Rational Exponents Extending Functions	Excursion on Exponents pgs. 216-218.	Class: 3.2.1, 3.2.2, 3.2.6, 3.2.7, 3.2.9. Notebooks: 3.2.3, 3.2.4, and 3.2.5, 3.2.10, and 3.2.11.
Friday, January 28	Irrational Exponents	*
*
Monday, January 31	Finish irrational exponents	*	*
Wed., February 2	Introduction to Differentiation (one-variable.)	Sections 9.1 and 9.2.	Class: Bernoulli's ineq. (#8, exc.2) Problem 2 in section 9.2
Friday, February 4	Introduction to Differentiation---cont.	*	Class: Problem 3 in section 9.2 Notebook problems collected (From Excursion on Exponents.)
*
Monday, February 7	Differentiability and continuity	Section 9.3.	Class: Problems 1 & 2 in section 9.3 Notebooks: Exercise 9.3.2(a,c) Differentiability only.
Wednesday, February 9	The Mean Value Theorem	Sections 9.4 and 9.5.	Class: Problems 1, 2, 3, and 5 in Section 9.5.
Friday, February 11	The Mean Value Theorem---cont.	*
*
Monday, February 14	Differentiation rules (Handout) Begin---Monotonicity section.	Section 9.6	Warm up Exercises: Problems 1ab & 4 on the Handout. Class: Problems 2 & 3 on Handout. Problem 1 in Section 9.6
Wednesday, February 16	Darboux's Theorem.	*	Class: Problems 5 and 6 in Section 9.6 Notebooks: 1-1 & Monotonicity Problem. Problems 3 and 4 in Section 9.6.
Friday, February 18	Finish Darboux's Theorem Continuity of Inverses	*	*
*
Monday, February 21	The Inverse Function Theorem. Introduction to Iteration	*	Notebooks: The Inverse Function Theorem. *
Wednesday, February 23	Iteration and Fixed Points	Section 10.1	Class: Problems 4 and 5 in Section 10.1. Notebooks: Problems 2 and 3 in Section 10.1.
Friday, February 25	The Contraction Mapping Theorem. *	Section 10.2	Class: Problems 1 and 2 in Section 10.2. Notebooks: Problems 3, 4 and 6 in Section 10.2. Notebook problems collected---on Differentiation.
*
Monday, February 28	Iteration and the Derivative. *	Section 10.3	Class: Problem 5b in Section 10.2. And problem 1 in Section 10.3.
Wednesday, March 2	Defining the Integral. *	Sections 11.1 and 11.2	Class: Problems 2, 3, 4, 5, 6, 8 in Section 11.2; assigned to pairs. Notebooks: Problems 1 and 7 in Section 11.2.
Friday, March 4	Defining the Integral---cont.*	*
Spring Break
Monday, March  21	Finish "Defining the integral."
Wednesday, March 23	Arithmetic, order, and the Integral	Section 11.3	Class: Problems 1, 5,and 6 in Section 11.3. Notebooks: Problems 2 and 4 in Section 11.3.
Friday, March 25	Finish "Arithmetic, order, and the Integral"		Notebook problems collected---on Iteration.
*
Monday, March 28	Introduction to "Families of Riemann Sums" Takehome Midterm Distributed	Section 11.4 through Lemma 11.4.7	Class: Exercise 11.4.3 and Problems 3 and 4 in Section 11.4. Notebooks: Problem 1in Section 11.4.
Wednesday, March 30	The Cauchy Criterion for Riemann Integrability.	*	*
Friday, April 1	In-Class Midterm
*
Monday, April 4	The Cauchy Criterion for Riemann Integrability.---continued	**	Takehome Midterm Due
Wednesday, April 6	Existence of the Integral	Section 11.5	Class: Problems 4 in Section 11.4. (Left from before.) Problems 6 and 7 in Section 11.5. Notebooks: Problems 1 and 4 in Section 11.5.
Friday, April 8	Existence of the Integral---cont.	*	Class:  Problems 2 and 3a in Section 11.5.
*
Monday, April 11	The Fundamental Theorem of Calculus	Section 11.6	Class:  Problems 1 and 2 in Section 11.6.
Wednesday, April 13	Sequences of Functions---Introduction	Sections 12.1 and 12.2	*
Friday, April 15	Sequences of Functions---cont.	Re-read Sections 12.1 and 12.2	Class: Problems 1, 2, 3 and 4 in Section 12.2. Notebooks: Problems 1, 5, and 6b in Section 12.2.    Notebook problems collected---on Integration.
*
Monday, April 18	Sequences of Functions---cont.	*	*
Wednesday, April 20	Series of Functions--a tiny taste Interchange of Limiting operations	Sections 12.3 & 12.4 through corollary 12.4.3.	Class: Problem 1 in Section 12.3 and Problems 2, and 3 in Section 12.4
Friday, April 22	Interchange of Limiting operations---term by term differentiation.	Section 12.4	Notebooks: Problems 4 and 5 in Section
*
Monday, April 25	Everywhere Continuous Nowhere differentiable---cont.	Excursion 10	Start presenting problems in the excursion.
Wednesday, April 27	Everywhere Continuous Nowhere differentiable---cont.	Excursion 10	Presenting problems in the excursion.
Friday, April 29	Limsup and Liminf Geometric series, the comparison test, and the ratio test---discussion.	Excursion 7	Class: Problems 4 and 6 in Excursion 7. Notebooks: Problem 5 in Excursion 7.
*
Monday, May 2	Power series---definitions and convergence	Excursion 8.1	Class: Problems 1, 3, and 4 Section I.8.1.
Wednesday, May 4	Power series---finish convergence. Start Differentiation and integration.	Excursion 8.2	Class: Problems 1, 2, and 4 Section I.8.2.
Friday, May 6	Finish Power Series Takehome Final Distributed	*	Notebook problems collected---on sequences of functions and on limsup.
Final Examination Tuesday, May 10 from 6:30-9:30 Takehome Final Due at the beginning of the exam.