Syllabus. Textbook information.

Day	Readings	Topics	Photos	Audio	More readings	HW due	Revision due
1	1	the real line; monotone sequences	zip	mp3	zip (binomial theorem)	5	11
2	2.1-4	inequalities and estimates	zip	mp3		5	11
3	2.5-6	approximations and "for n large"	zip	mp3		7	12
4	3.1,2,5	proving limits from the definition	zip	mp3		7	12
5	3.3,4	infinite limits and an	zip	mp3		9	16
6	4	error term analysis	zip	mp3		9	16
7	5.1	limit laws	zip	mp3	zip (-∞ and ∞·∞ limits)	13	20
8	5.2-4	comparison & location theorems; subsequences	zip	mp3	jpeg (subsequence theorem)	13	20
9	6.1-3	completeness: Bolzano-Weierstrass	zip	mp3	jpeg (summary)	13	20
10	6.4	Cauchy completeness	zip	mp3		16	22
11	6.4	proving sequences Cauchy	zip	mp3	zip (strategies) xlsx (a sequence) zip (more examples)
12	7	infinite series	zip	mp3
13	7, 8	ratio, root tests; power series	zip	mp3	zip (solutions 1-4)	19	27
14		midterm exam (days 1-5)
15	9	real functions: basic properties	zip	mp3		19	27
16	6.5, 10	properties pointwise, local, and global	zip	mp3		19	27
17	11	continuity	zip	mp3		23	29
18	11; 12.1-2	continuity; IVT	zip	mp3		23	29
19	12.3-4	Inverse Function Theorem	zip	mp3
20	13.1-3	Extreme Value Theorem	zip	mp3		23	29
21	13.5	Uniform Continuity	zip	mp3		26
22	14	differentiability	zip	mp3	zip (product and inverse rules)	26
23	14,15	Mean Value Theorem	zip	mp3		26
24	17	Taylor's Theorem	zip	mp3	zip (proof of Taylor's Thm.)	29
25	18	Riemann Integrability	zip	mp3	zip (solutions 5-10) zip (integrability proofs)	29
26	18-19	Riemann integrals, part I	zip	mp3	zip (interval additon integrability)
27	19	Riemann integrals, part II	zip	mp3	zip (subinterval integrability) zip (solutions 13-16, 21-23)	29
28	20	Fundamental Theorems of Calculus	zip	mp3	zip (more integral properties)
29	22	Uniform convergence and power series	zip	mp3	zip (solutions 17-20, 24-27)
		Final Exam: Dec. 12, 3:30-6:30

Old exams:
Fall 2012: 1 2 Final
Fall 2013: 1 2 Final
Fall 2014: Final
Fall 2015: 1 2 Final