| Week #1 September 22-26 |
Introduction to proofs Natural numbers (1) Rational numbers (2, 3) |
Septemer 22: classes begin |
| Week #2 September 29- October 3 |
Real numbers (3-5) Sequences and limits (7, 8) Properties of sequences (9, 10) |
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| Week #3 October 6-10 |
Limit laws (9) Diverging sequences (9, 10) Monotone sequences, lim sup/inf (12) |
October 10 (Fri, 5 p.m.) Last day to add or drop a class. |
| Week #4 October 13-17 |
Cauchy sequences (10) Subsequences (11) Infinite series (14) |
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| Week #5 October 20-24 |
Convergence tests for series (15) Alternating series (15) Continuous functions (17) |
October 23 (Thursday), 6- 7:30: Midterm exam |
| Week #6 October 27-31 |
Properties of continuous functions (18) Maximum principle (18) Intermediate value theorem (18) |
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| Week #7 November 3-7 |
Uniform continuity (19) Derivative (20,28) Differentiation rules (28) |
November 4th- no class |
| Week #8 November 10-14 |
Mean value theorem (29) Inverse function theorem (29) Darboux integral (32) |
November 14 (Fri, 5 p.m.) Course withdrawal deadline
Change of grading basis deadline. |
| Week #9 November 17-21 |
Equality of Darboux and Riemann integral(32) Properties of Riemann integral(33) Fundamental theorem of calculus (34) |
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| Thanksgiving break November 24-28 |
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| Week #10 December 1-5 |
Sequences of functions (23, 24) Weierstrass M-test and power series (25, 23) Taylor's theorem (31) |
December 5: Last day of classes. |
| December 11th |
8:30 - 11:30 am: final exam. |