Calendar of Events:

Feb 10: Euler's formula, infinite series, power and danger of mathematical infinite

Feb 12: (1.3) root 2 irrational, number systems, axiom of completeness

Feb 14: (1.3, 1.4) props of sup, NIP

Feb 17: (1.4) density of Q, root 2 exists

Feb 19: (1.4) countability

Feb 21: no class (winter carnival)

Feb 24: (2.2) Limiit of a sequence

Feb 26: (2.3) Algebraic Limit Theorem

Feb 28: (2.4) Order Limt Theorem, MCT

Mar 3: (2.4) MCT and series of positive terms (p-test)

Mar 5: (2.5) Subsequences and Bolzano-Weierstrass

Mar 7: (2.6) Cauchy Criterion and Series (historical moment on Cauchy with Kyle and Shannia)

Mar 10: (2.7) Series, rearrangements

Mar 12: (3.1, 3.2) more rearrangements, Cantor Set, intro to topology (historical moment on Cantor, with Sean and Katherine)

Mar 14: (3.3) open and closed sets

First pledged assignment covering chapters 1, 2, and 3 .

Mar 17: compact sets

Mar 19: Dirichlet function, functional limits (historical moment on Dirichlet with Sam and Junha )

Mar 21: Functional limits, epsilon-delta and sequential versions

Mar 24--28; spring break

Mar 31: Continuous functions

Apr 2 : Continuous functions on compact sets

Apr 4: Intermediate Value Theorem (historical moment on Bolzano with Norton)

Apr 7: Def of the derivative, Darboux, Cauchy's MVT proof

Apr 9: Mean Value Theorem

Apr 11: no class (student spring symposium)

Apr 14: pt-wise/uniform convergence

Apr 16: uniform convergence and continuity (historical moment on Abel with Matt and Jordan)

Apr 18: uniform convergence and differentiation

Apr 21: uniform convegence of series of functions (historical moment on Weierstrass with Kevin and Reed )

Apr 23: power series

Apr 25: no class

Apr 28: Taylor series

Apr 30: Riemann integral

Second pledged assignment covering chapters 4, 5, and 6.

May 2 : Integrating functions w/ discontinuities (historical moment. on Riemann with Jessica and Emma )

May 5 : Properties of the integral

May 7: Fundamental Theorem of Calculus

May 9: Return to Euler's formula/Assign final projects

May 12: Work on final projects

Final Exam: Group project with short oral presentation