Math 30750, Spring '17

Schedule

Check this page often for updates. In particular, you'll find new homework assignments and solutions to past assignments here, and can see a very brief summary of what's going on in class.

Dates	Topics	Reading	Homework	Miscellaneous
1/18-1/25	What is Real Analysis? What did Fourier do, or where do some of the questions real analysis addresses come from? Review preliminaries, convergence of sequences on your own	Chapter 1, preliminaries, Sections 2.1-2.2, convergence & limit thms for sequences	Assignment 0, due January 25 Assignment 1 , due January 27 Solutions	No class Monday, January 23 (Martin Luther King Jr. Day luncheon) Comments on reading the book and on Assignment 1 Turn in Assignment 0 and Assignment 1 separately.
1/27-2/3	Limits, Cauchy sequences, sup and inf	Section 2.2 (again), 2.4-2.6	Assignment 2 Solutions	"Math for Everyone" lecture Extra credit for attending and writing a paragraph about something interesting you learned
2/6-2/10	Sup and inf, Bolzano-Weierstrass, continuity	Sections 2.4-5 (again), 2.6, 3.1-2	Assignment 3 Solutions
2/13-2/17	continuous functions on closed, bounded intervals, Riemann integral	Sections 3.1-2(again), 3.2-3	Assignment 4 Solutions
2/20-2/24	Riemann integral, cont'd	Section 3.3, Notes on the Riemann integral	Assignment 5 Solutions	Exam 1 Friday, February 24 review information
2/27-3/3	Discontinuities, immproper integrals, differentiable functions	Sections 3.5-6, 4.1-2	Assignment 6 Solutions	Redo Exam 1 - due Monday, March 6 Heads up: sign up by March 9 for group (3 or 4 students) for project (you'll be sent a link to shared google doc)
3/6-3/10	Fundamental Theorem of Calculus, Taylor's Theorem	Sections 3.5, 4.1, 4.2 (again), Section 4.3	Assignment 7 Solutions	Sign up by March 9 for group (3 or 4 students) for project
3/20-3/24	Taylor's Theorem, inverse functions, uniform convergence	Sections 4.3 (again), 4.5, 5.1-2	Assignment 8 Solutions	Enjoy spring break!
3/27/-3/31	Limit theorems, sup norm, lim sup and lim inf	Sections 5.1-2 (again), 5.3, 6.1-2	Assignment 9 Solutions
3/31-4/7	lim inf, lim sup, series of constant	Sections 6.1-6.2	Assignment 10 Solutions	Exam 2 Friday, April 7 review information Project, part 1, due Wednesday, April 12
4/10-4/21	Series, metric spaces	Sections 6.2-6.4, 5.6	Assignment 11 Solutions	"Hidden Figures" April 8,9 Project, part 1, due Wednesday, April 12 Exam 2 corrections due Wednesday, April 19
4/24-4/28	Metric spaces Contraction Mapping Principle, Existence and Uniqueness Theorem, normed linear spaces	Sections 5.6-5.8	Assignment 12 Solutions	Project, part 2, due Wednesday, April 26 Math for Everyone talk Thursday, April 27, at 5 p.m.
5/1-5/9	Normed linear spaces Sets of measure zero, or, what might you mean by the "length" of the Cantor set? Review	Section 5.8, notes on sets of measure zero	Assignment 13 Solutions	Final Tuesday, May 9, at 4:15 p.m. in 229 Hayes-Healy Information about final, review outline