Josh Laison
Math 251: Foundations of Advanced Mathematics


                               (back row: Nathan, Reese, Josh, Sam, Max, Carson, Joseph, George, Tyler, Blake, Samuel)
                               (front row: Colin, Beka, Megan, Stephan, Derek, Hongyuan)

Course Procedures

LaTex Resources:
To install LaTeX on Windows, first download MikTex (the "small MikTex installer" should be fine), and then download WinEdt.
Or if you want a free version try one of these or MonkeyTex or TexLive .
For Macintosh, use MacTex or TexShop.
A sample LaTex document written by me. This should have examples of most things that you'd like to know how to do.
The Not-So-Short Introduction to LaTeX
A List of LaTex resources
A List of Tex resources

Search for symbols in LaTex
Browse a whole lot of symbols in LaTex (Warning, large PDF file)

Links:
Hilbert's Problems
The Clay Millennium Problems
The Erdös Number Project
Course calendar:
Monday Wednesday Friday
Week 1 Aug 28: First day of class. Aug 30: Reading: Sections 1.1, 1.2
Section 1.2 Exercises 4(4), 4(5), 5(4), 5(5), 11(2)
Presentations: Mathematical statements handout
Week 2 Sep 2: Labor day, no class. Sep 4: Reading: Section 1.3
Section 1.3 Exercises 5(1), 5(3), 5(4), 8(5), 11(2), 11(4)
Sep 6: No assignments.
Week 3 Sep 9: Reading: Sections 1.4, 1.5
Section 1.5 Exercises 2(1), 5(3), 5(4), 6(2), 6(4)
Sep 11: No assignments. Sep 13: Reading: Sections 2.1, 2.2, 2.3
Section 2.2 exercises 1(2), 1(3), Section 2.3 exercises 1(2), 1(3).
Week 4 Sep 16: Homework #1 due today.
Reading: Sections 2.4, 2.5
Section 2.4 Exercise 1(3), Section 2.5 Exercises 1(2), 1(3)
Sep 18: Quiz #1 today.
No reading assignments.
Sep 20: No assignments.
Week 5 Sep 23: No reading assignments.
Presentations: Proof techniques handout.
Sep 25: Reading: Section 2.6, exercises 1(4), 1(6), 1(7). Sep 27: Reading: Sections 3.2, 3.3
Section 3.2 Exercises 3(1), 3(2), 3(3), Section 3.3 Exercises 2(2), 2(4).
Homework #1 revisions due today.
Week 6 Sep 30: No assignments. Oct 2: Presentations: Sets handout. Oct 4: Reading: Section 3.4 Exercises 1(1), 1(2), 2(1).
Homework #2 due today.
Week 7 Oct 7: Class cancelled! Oct 9: Quiz #2 today. Oct 11: Reading: Section 6.3.
No reading problems.
Week 8 Oct 14: No assignments. Oct 16: No assignments. Oct 18: Mid-semester break today, no class!
Week 9 Oct 21: Presentations: Induction handout. Oct 23: Reading: Sections 4.1 and 4.2.
Section 4.1 exercises 1, 3, Section 4.2 exercises 1(1), 2(5).
Oct 25: Reading: The first page of Section 4.3.
Section 4.3 Exercise 3.
Week 10 Oct 28: Reading: Section 4.4.
Section 4.4 exercise 2.
Homework #2 revisions due today.
Oct 30: No assignments. Nov 1: No reading assignments.
Homework #3 due today.
Week 11 Nov 4: No assignments. Nov 6: Reading: Section 5.1.
Section 5.1 exercises 3(5), 4(1), 4(3), 4(5), 4(6).
Nov 8: Quiz #3 today.
Week 12 Nov 11: No assignments. Nov 13: Reading: Section 5.2. Section 5.2 exercise 1. Nov 15: Reading: Section 5.3.
Section 5.3 exercises 1(1), 1(3), 1(6), 8(1), 8(2), 8(3).
Note: #8 is #10 in the first edition.
Week 13 Nov 18: Homework #4 due today. Nov 20: Homework #3 revisions due today. Nov 22: Section 7.1 exercises 2(1), 2(3), 2(5), 3(1), 3(2).
Week 14 Nov 25: Reading: Section 7.2. No reading problems. Nov 27: Nov 29: Thanksgiving!
Week 15 Dec 2: Reading: Section 7.8 (only in 2nd edition). No reading problems. Dec 4: Assignment #5 due today. Dec 6: Last day of class!
Week 16     Sat. Dec 14: All work due by 5:00 PM.
Last day to schedule final exams.