Josh Laison
Math 251: Foundations of Advanced Mathematics


                               back row: Michael, Wes, Eric, Heidi, Candace, Miranda, Kenny, Alexis, Marla, Paul, Richard, Justin
                               front row: Travis, Megan, Hayley
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

Course calendar:
Monday Wednesday Friday
Week 1 Jan 18: First day of class. Jan 20: Reading: Sections 1.1, 1.2
Section 1.2 Exercises 4(4), 4(5), 5(4), 5(5), 11(2)
Oral: Mathematical statements handout
Jan 22: No class, MLK day.
Week 2 Jan 25: LaTeX day Jan 27: Reading: Section 1.3, Exercises 5(1), 5(3), 5(4), 8(5), 11(2), 11(4) Jan 29: Reading: Sections 1.4 and 1.5,
Section 1.5 exercises 2(1), 5(3), 5(4), 6(2), 6(4)
Week 3 Feb 1: No assignments. Feb 3: Reading: Sections 2.1 and 2.2. Feb 5: Reading: Section 2.3,
Section 2.2 exercises 1(2), 1(3),
Section 2.3 exercises 1(2), 1(3).
Week 4 Feb 8: Reading: Sections 2.4 and 2.5.
Section 2.4 ex. 1(2), 1(3), Section 2.5 ex. 3(2), 3(3), Written Problems #1 due.
Feb 10: No assignments. Feb 12: No assignments.
Week 5 Feb 15: Individual Problems #1 due
Oral Problems: Proof techniques handout.
Feb 17: Reading: Section 2.6, exercises 1(4), 1(6), 1(7).
Oral Problems: Proof techniques handout.
Feb 19: No assignments.
Week 6 Feb 22: Reading: Section 3.2 exercises 2, 3(1), 3(2). Feb 24: Reading: Section 3.3 exercise 1, Written problems #2 due Feb 26:
Week 7 Mar 1: Oral problems: Set identities handout. Mar 3: Reading: Section 3.4.
Section 3.4 exercises 1(1), 1(2), 2(1).
Oral problems: Set identities handout.
Mar 5: No assignments.
Week 8 Mar 8: Reading: Section 6.3.
No reading problems.
Mar 10: Individual problems #2 due. Mar 12: Oral problems: Induction handout.
Week 9 Mar 15: Oral problems: Induction handout. Mar 17: Reading: Sections 4.1 and 4.2.
Section 4.1 exercises 1, 3,
Section 4.2 exercises 1(1), 2(5).
Mar 19: No assignments.
Week 10 Mar 29: No assignments. Mar 31: Reading: page 152.
Section 4.3 exercise 3.
Written problems #3 due.
Apr 2: Reading: Section 4.4. exercise 2.
Week 11 Apr 5: Oral problems: Theorem 4.2.3. Apr 7: No assignments. Apr 9: Oral problems: Functions handout.
Week 12 Apr 12: Reading: Section 5.1
Section 5.1 exercises 3(1), 3(2), 3(3), 4(1), 4(5).
Individual problems #3 due.
Apr 14: Reading: Section 5.2 exercise 1. Apr 16: No assignments.
Week 12 Apr 19: Reading: Section 5.3
exercises 1(1), 1(4), 1(6), 10(1), 10(2), 10(3).
Apr 21: SSRD, no class! Apr 23: Written problems #4 due.
Week 13 April 26: Reading: Class handout exercise 5.5.14. April 28: Reading: Class handout exercise 8.5.4. April 30: Reading: Section 7.1
exercises 2(1), 2(3), 2(5), 3(1), 3(2).