The calendar here is tentative, and the topics discussed and specific dates are subject to change. Numbers in parentheses denote the corresponding section from Ross, Elementary Analysis, unless specified as "Lebl", in which case it is from Lebl, Basic Analysis.

Week 1:
Wed. 8/26	Sets, functions, notation (Lebl 0.3.1-3)
Fri. 8/28	Sets, functions, notation (Lebl 0.3.1-3)
Week 2:
Mon. 8/31	Field axioms, real numbers (Ross 3)
Wed. 9/2	Inf and sup, completeness axiom, infinity (4, 5)
Fri. 9/4	Sequences, limits of sequences (7, 8)
Week 3:
Mon. 9/7	No class
Wed. 9/9	Properties of limits of sequences (9)
Fri. 9/11	Infinite limits, liminf and limsup (9, 10)
Week 4:
Mon. 9/14	Cauchy sequences, cardinality of the real numbers (10, Lebl 0.3.4, 1.4)
Wed. 9/16	Subsequences and Bolzano-Weierstrass theorem (11)
Fri. 9/18	Subsequences and Bolzano-Weierstrass theorem (11)
Week 5:
Mon. 9/21	Midterm 1
Wed. 9/23	Properties of lim inf and lim sup (12)
Fri. 9/25	Series (14)
Week 6:
Mon. 9/28	Alternating series, integral tests (15)
Wed. 9/30	Absolute convergence (Lebl 2.6), Continuous functions (17)
Fri. 10/2	Continuous functions, properties of continuous functions (17, 18)
Week 7:
Mon. 10/5	Properties of continuous functions (18)
Wed. 10/7	Uniform continuity (19)
Fri. 10/9	Limits of functions (20)
Week 8:
Mon. 10/12	Differentiation (28)
Wed. 10/14	Mean value theorem (29)
Fri. 10/16	Applications of Mean Value Theorem, L'Hospital's Rule (29,30)
Week 9:
Mon. 10/19	Riemann integration (32)
Wed. 10/21	Riemann integration (32)
Fri. 10/23	Properties of the Riemann integral (33)
Week 10:
Mon. 10/26	Fundamental theorem of calculus (34)
Wed. 10/28	Power series (23)
Fri. 10/30	Midterm 2
Week 11:
Mon. 11/2	Uniform convergence (24)
Wed. 11/4	Uniformly Cauchy power series (25)
Fri. 11/6	Integration and differentiation of power series (26)
Week 12:
Mon. 11/9	Taylor's theorem (31)
Wed. 11/11	No class
Fri. 11/13	Metric spaces (Lebl 7.1)
Week 13:
Mon. 11/16	Open and closed sets (Lebl 7.2)
Wed. 11/18	Open and closed sets, connectedness (Lebl 7.2)
Fri. 11/20	Connectedness, closure, and boundary (Lebl 7.2)
Week 14:
Mon. 11/23	Sequences in metric spaces (Lebl 7.3)
Wed. 11/25	No class
Fri. 11/27	No class
Week 15:
Mon. 11/30	Cauchy sequences, completeness (Lebl 7.4)
Wed. 12/2	Compactness (Lebl 7.4)
Fri. 12/4	Continuous functions on metric spaces (Lebl 7.5)
Final Examinations:
Thurs. 12/17	Final exam 7-10pm