UC Berkeley Math 104: Course schedule

Course schedule

Lecture	Date	Topic	Notes
1	Jan 19	Natural numbers, mathematical induction
2	Jan 21	Field axioms and rational numbers
3	Jan 24	The completeness axiom
4	Jan 26	Infinity
5	Jan 28	Sequences, convergence	HW 1 due
6	Jan 31	Properties of sequences
7	Feb 2	Cauchy sequences
8	Feb 4	Subsequences	HW 2 due
9	Feb 7	Bolzano–Weierstraß theorem
10	Feb 9	lim sup and lim inf
11	Feb 11	Series and convergence properties	HW 3 due
12	Feb 14	Integral tests
13	Feb 16	Metric spaces: metrics
14	Feb 18	Metric spaces: set topology	HW 4 due
	Feb 21	Presidents Day
15	Feb 23	Metric spaces: compactness
	Feb 25	Midterm 1
16	Feb 28	Continuity
17	Mar 2	Intermediate Value Theorem
18	Mar 4	Uniform continuity	HW 5 due See note 1
19	Mar 7	Limits of functions 1
20	Mar 9	Limits of functions 2
21	Mar 11	Power series 1	HW 6 due
22	Mar 14	Uniform convergence
23	Mar 16	Power series 2
24	Mar 18	Weierstraß approximation theorem	HW 7 due
	Mar 21	Spring Break
	Mar 23	Spring Break
	Mar 25	Spring Break
25	Mar 28	Differentiation
26	Mar 30	Midterm review
	Apr 1	Midterm 2
27	Apr 4	Mean Value Theorem / Rolle's theorem
28	Apr 6	Differentiation of inverses
29	Apr 8	L'Hôpital's rule	HW 8 due
30	Apr 11	Taylor's theorem	See note 2
31	Apr 13	Riemann integration
32	Apr 15	Integration properties	HW 9 due
33	Apr 18	Fundamental theorem of calculus
34	Apr 20	Fundamental theorem of calculus 2
35	Apr 22	Improper integrals	HW 10 due
36	Apr 25	Metric spaces: compactness 2	See note 3
37	Apr 27	Metric spaces: continuity
38	Apr 29	Metric spaces: continuity 2	HW 11 due