Math 20630, Spring `12

Schedule

The schedule below is tentative and likely to change. I will update this page very often, and it will be your responsibility to check it frequently to see what's going on in class. In particular, you will find all new homework assignments here, and soon after you turn in an assignment, I will post solutions for you to look at.

Dates	Topics	Reading	Homework	Miscellaney
1/18-1/20	Integers: arithmetic and order	Sections 1 and 2 from my notes. Skim chapter 1 (especially 1.1, 1.4 and 1.6) from the textbook.	Homework 1
1/23-1/27	Well-ordering principle, b-ary expansions, divisibility and the Euclidean algorithm	Sections 3, 4, and 5 from my notes. Textbook sections 2.1, 2.4, 2.2	Homework 2	I put a copy of the textbook on reserve in the math library. Word is that the bookstore was out of it last week. Also note that I've chosen 4-6:30 Tuesday for office hours.
1/30-2/3	Diophantine equations, prime factorization	Textbook sections 2.3, 2.5	Homework 3	I will be away at a meeting all of this week, but Prof Mapes will lecture in my place. Please try not to look disappointed when I come back.
2/6-2/10	Sets, equivalence relations and congruence	Section 6 in my notes. Textbook sections 1.3, 3.1, 3.3	Homework 4	Math for Everyone talk, Thursday February 9 at 5:00PM in 105 Jordan Hall: Mathematics and the Sydney Opera House Alex Hahn, University of Notre Dame
2/13-2/17	More congruences	Textbook sections 3.2, 3.4-3.6 Notes section 7	Homework 5	I'll be out of town Friday 2/17, but Prof Mapes will lecture in my place.
2/20-2/2	RSA Encryption Induction and the binomial theorem	Textbook 7.3 and 7.4 Textbook 4.1 and 4.3	Homework 6	Here's a review sheet for exam 1.
2/27-3/2	Rational numbers	Textbook section 5.1 Notes, section 8		Help session takes place at 8PM (rather than 7) tonight. Same room as always. 1st midterm, Wed 2/29 Career Center is hosting a Risk Management/Actuarial Night on Feb. 29^th at 6:30pm in Flanner Hall
3/5-3/9	Rational numbers Functions	Textbook 6.1-6.5	Homework 7	Math for Everyone talk, Thursday March 8 at 5:00PM in 105 Jordan Hall: Discovering Origami Theorems Amanda Serenevy, Riverbend Community Math Center
3/19-3/23	More functions, cardinality	Text 6.6; also see my notes for a proof of the Schroeder Bernstein Theorem	Homework 8
3/26-3/30	Sequences,	Notes, sections 9,10	Homework 9
4/2-4/4	sequences,	Notes, section 11	Homework 10
4/11-4/13	and more sequences	Notes, sections 12,13		Some changes to this week's schedule: 1) The help session will take place Tuesday from 7-8 PM in 127 Hayes-Healy. 2) My office hours will be on Thursday from 4-6 PM. 3) Hwk 10 is due on Friday April 13. Here's a review sheet for exam 2.
4/16-4/20	continuity	Notes, section 14	Homework 11	2nd midterm, Wed 4/18 This week's math for everyone talk has been rescheduled for next week. The other details remain the same.
4/23-4/27	complex numbers	Text 8.1-8.7	Homework 12 (for practice only)	Math for Everyone talk, Thursday April 26 at 5:00PM in 127 Hayes-Healy: An invitation to Analytic Combinatorics Mark Ward, Purdue University
4/30-5/2	complex numbers	Notes , section 15 for fundamental theorem of algebra.		Final exam from 4:15-6:15 PM on Wed 5/9 in Hayes-Healy 229 (our usual classroom). Here is a review sheet.