Wednesday, August 13 |
Some Preliminaries |
Monday, August 18 |
The Axiom of Completeness |
Wednesday, August 20 |
Consequences of Completeness |
Monday, August 25 |
Cantor's Theorem |
Wednesday, August 27 |
The Limit of a Sequence |
Monday, September 1 |
Labor Day Holiday |
Wednesday, September 3 |
The Algebraic and Order Limit Theorems |
Monday, September 8 |
The Monotone Convergence Theorem and a First Look at Infinite Series |
Wednesday, September 10 |
Subsequences and the Bolzano-Weierstrass Theorem |
Monday, September 15 |
The Cauchy Criterion |
Wednesday, September 17 |
Properties of Infinite Series |
Monday, September 22 |
Open and Closed Sets |
Wednesday, September 24 |
Test #1 |
Monday, September 29 |
Compact Sets |
Wednesday, October 1 |
Functional Limits |
Monday, October 6 |
Continuous Functions |
Wednesday, October 8 |
Continuous Functions on Compact Sets |
Monday, October 13 |
The Intermediate Value Theorem |
Wednesday, October 15 |
Derivatives and the Intermediate Value Property |
Monday, October 20 |
The Mean Value Theorem |
Wednesday, October 22 |
A Continuous Nowhere-Differentiable Function |
Monday, October 27 |
Uniform Convergence of a Sequence of Functions |
Wednesday, October 29 |
Test #2 |
Monday, November 3 |
Uniform Convergence and Differentiation |
Wednesday, November 5 |
Series of Functions |
Monday, November 10 |
Power Series |
Wednesday, November 12 |
Taylor Series |
Monday, November 17 |
The Definition of the Riemann Integral |
Wednesday, November 19 |
Integrating Functions with Discontinuities |
Monday, November 24 |
Thanksgiving Recess |
Wednesday, November 26 |
Thanksgiving Recess |
Monday, December 1 |
Properties of the Integral |
Wednesday, December 3 |
The Fundamental Theorem of Calculus |