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Week Section Due      Homework                                     Topic

1	4.1    5.1	1/23	(Prove the Corollary on p. 76)  p. 108 # 1, 2, 13	Limits of Functions  Definition of Derivative
2	5.2   5.3	1/30	p. 108 # 3,  4, 6,  (7), 8	Derivative Rules  Mean Value Theorem
3	5.4	2/6	Complete a template for the MVT  p. 108 # 11, 12	Taylor's Theorem
4	6.1    6.2    6.3	2/13	p. 132 # 3,5,16  If f is not left-continuous at x=1, show it is not  integrable w.r.t. the greatest integer funct. on [.5,1.5]	Definition of Riemann (-Stieltjes) Integral Properties Integrability of Continuous Functions
5	Notes	2/20	See handout,  but delete problem 1 due to misprint.  Give a counterexample to 1a for extra credit.	Integration by Parts  f dg = f g' dx  Cauchy Criterion for Integrability
6	Notes	2/27	Corrected problem 1 from last week's handout.  p. 133 #13,14,15 Template for Riemann Criterion for Integrability (except pf.)	Riemann Criterion for Integrability  Mean Value Theorem for Integrals
7	6.4    6.5	3/5	Take-Home Test	Fundamental Theorem of Calculus  Log and Exp Functions
8	7.1    7.2    7.3	3/19	p. 160 # 3, 4 or 5, 30, 35, 36	Derivative and Integral of a Limit  Differentiation and Integration of Series  Differentiation and Integration of Power Series
9	7.4    7.5    9.1	3/26	p. 212 # 1, 2, 3,  4	Trigonometric Functions as Series  Derivative of Functions Defined by Integral  Differentiation in Several Variables
10	9.2	4/2	See handout	Taylor's Theorem  in Several Variables
11	8.1    8.2	4/9	See handout	Contraction Fixed Point Theorem  Implicit Function Theorem
12	9.3   10.1	4/16	See handout	Inverse Function Theorem  Integration in Eucliean n-space
13	10.2	4/23	p. 244 #7,8,9,14	Integration on Subsets, Volume
14	10.3   10.4	4/30	Covered on Final Exam	Iterated Integrals  Change of Variable, Jacobian