Links are to Wikipedia pages, which are for the most part (not necessarily always) very useful additional reading. Section numbers refer to K. Ross: Elementary Analysis, The Theory of Calculus. The syllabus is tentative, it allows for us to fall by two days which then can be made up during the leeway days near the end.

Lecture	Topics
Fr. Sep 25	Mathematical Induction (1)
Mon, Sep 28	Rational numbers (2)
Wed, Sep 30	Real numbers (3)
Fri, Oct 02	Least upper bound axiom(4), Infinity (5)
Mon, Oct 05	Sequences, Limits of sequences(7)
Wed, Oct 07	A discussion about proofs (8)
Fri, Oct 9	Limit Theorems for sequences (9)
Mon, Oct 12	Monotone and Cauchy Sequences (10)
Wed, Oct 14	More Cauchy sequences
Fri, Oct 16	Review for midterm
Mon, Oct 19	First Midterm
Wed, Oct 21	Subsequences, Bolzano-Weierstrass (11)
Fri, Oct 23	Limsup, liminf (12)
Mon, Oct 26	Series (14)
Wed, Oct 28	Convergence tests (15)
Fri, Oct 30	Continuous functions (17)
Mon, Nov 2	Properties of continuous functions (18)
Wed, Nov 4	Uniform continuity (19)
Fri, Nov 6	Limits of functions (20)
Mon, Nov 9	Derivative (28)
Wed, Nov 11	Veterans holiday
Fri, Nov 13	Mean Value Theorem (29)
Mon, Nov 16	Second Midterm
Wed, Nov 18	Taylor's Theorem (31)
Fri, Nov 20	Riemann integral (32)
Mon, Nov 23	Properties of Riemann integral (33)
Wed, Nov 25	Fundamental_theorem_of_calculus (34)
Fri, Nov 27	Thanksgiving Holiday
Mon, Nov 30	leeway or additional topics
Wed, Dec 02	leeway or additional topics
Fri, Dec 04	Review for final exam
Wed, Dec 09	Final Exam (3-6 pm),