## Schedule

The schedule below is a record of what we have actually done as well as an approximate projection of what we will do. Readings, homework assignments, and worksheets will be posted as they are assigned. Most homework problems will come from The Book of Proof (freely available online; click on the title for a link). Homework sets are due by 4:00 PM on the date indicated. Portfolio entries should be printed and brought to class on the due date? A revised copy is due by 4:00 PM on the following day.

- Week 1
- 9/1: discuss the syllabus and the proof portfolio (and maybe some questions or psuedaria).
- 9/3: 1.1-5.

- Week 2
- 9/6: Labor Day; no class.
- 9/8: 1.5-7. Homework due today:
- 1.1: 3, 4, 11, 13, 17, 25, 29, 30, 43, 44;
- 1.2: 1 (make use of ellipses), 4, 9, 11, 15;
- 1.3: 4, 5, 9, 10 (use ellipses), 13, 14;
- 1.4: 4, 5, 6, 8, 13.

- 9/10: 1.8,10 and 2.1. First LaTeX assignment (pre-portfolio entry) due today.

- Week 3
- 9/13: 2.2-6 and a worksheet.
- 9/15: 2.7-9. Homework due today:
- 1.5: 1, 4;
- 1.6: 1;
- 1.7: 5, 6, 11, 12;
- 1.8: 3, 5, 6, 8, 9;
- 2.1: 4, 8;
- 2.2: 7, 8;
- 2.3: 1, 2, 3;
- 2.6: 1, 2, 4, 9, 12.

- 9/17: 2.9-12. Portfolio expository entry 1 due today. Slides (.tex).

- Week 4
- Week 5
- 9/27: Review/more proofs (old exam 1).
- 9/29: Math in LaTeX and more intro to chapter 5.
**At home exam on chapters 1, 2, and 4.** - 10/1: Chapter 5 and a worksheet (.tex).

- Week 6
- 10/4: Chapters 5 and 6. Portfolio expository entry 2 due today.
- 10/6: Chapters 5 and 6.
- 10/8: Chapter 6. and a worksheet (.tex). Homework due today:
- 5: 1, 4, 5, 6, 11, 12, 15, 18
- 6: 5, 6

- Week 7
- 10/11: Chapter 6 and 7.
- 10/13: Chapter 7. Portfolio proof A (.tex)
**due today.** - 10/15: Portfolio proof review (link to the old rubric). Homework due today:
- Chapter 5: 28
- Chapter 6: 8, 11, 15, 16
- Chapter 7: 5, 7, 8, 10, 12, 17, 18

- Week 8
- Week 9
- 10/25: Founders' Day; no class.
- 10/27: More perfect numbers (tex), continue the worksheet from last class. Portfolio proof B (.tex)
**due by 11:59 PM today**. - 10/29: Portfolio review. Wrap up perfect numbers. Homework due today:
- Ch. 8: 13, 14, 26, 27
- Ch. 9: 1, 4, 7, 8, 9, 15, 28, 30

- Week 10
- 11/1: Chapter 10. Read the introduction to chapter 10 before class.
**Revisions of portfolio proof B due today**. - 11/3: Chapter 10 continued. Portfolio proof C (.tex)
**due today**. - 11/5: Portfolio review and a worksheet. Homework due today:
- Ch. 9: 16, 23, 34
- Ch. 10: 1, 2, 5, 8, 13, 14

- 11/1: Chapter 10. Read the introduction to chapter 10 before class.
- Week 11
- 11/8: Continue chapter 10.
- 11/10: Review for the
**take-home exam on chapters 5-10**(proofs of all kinds).- Class is optional: use the time in whatever way is most helpful.
- An excerpt from another book.
- An old exam on chapters 6-9.

- 11/12: More chapter 10 (strong induction). Portfolio proof D (.tex)
**due by 11:59 PM today**.

- Week 12
- 11/15: Portfolio review. Read 10.2 Proof by Strong Induction and 10.3 Proof by Smallest Counterexample.
- 11/17: Chapter 11. Start a worksheet (also in .tex).
- 11/19: Chapter 11. Portfolio proof E (.tex)
**due by 11:59 PM today**. Homework due today:- Ch. 10: 19, 20, 27, 30
- Ch. 11 sec. 1: 1, 2, 5, 6, 9, 12, 13, 15

- Week 13
- 11/22: Finish chapter 11 and introduce functions (chapter 12).
**Portfolio D revision due today**.

- 11/22: Finish chapter 11 and introduce functions (chapter 12).
- Week 14
- 11/29: Portfolio review. A worksheet.
- 12/1: Chapter 12 and 14.
- 12/3: Chapter 12 and 14. Homework due today:
- 11.2: 2, 6, 12, 13, 17
- 11.3: 7, 8, 11
- 11.5: 2, 3
- 12.1: 5, 7, 8, 9, 10
- 12.2: 1, 6, 7, 8, 9

- Week 15
- 12/6: Chapter 12 and 14.
- 12/8: A worksheet. Portfolio proof F (.tex) due today.
- 12/10: Portfolio review. Portfolio expository entry 3 due today. Suggested problems (will not be graded):
- 11.4: 3, 5
- 12.2: 11, 13
- 12.3: 1, 3
- 12.4: 1, 3, 5, 7, 9
- 12.5: 1, 3, 7

- Final exam week
- A review guide.
- You are allowed one side of one 8.5" by 11" sheet of notes.
**Tuesday 1-3: Final exam for the 10:00 section**in Paccar 101.**Wednesday 8-10: Final exam for the 9:00 section**in Hughes 201.- Office hours:
- Monday 3-4
- Tuesday 10:30-12:00
- Wednesday
~~10:30-11:30~~1-2 - Thursday 11-12
- Or by appointment.

- Final exam schedule.
- 12/13 Final Portfolio (portfolio-template.tex and pdf) due by 4:00 PM.

### Links and class resources

- The Book of Proof
- Syllabus
- Proof portfolio
- Math 301 Fall 2018
- Math 301 Spring 2015
- Math 301 Fall 2014
- WolframAlpha
- Geogebra
- Desmos
- Overleaf
- LaTeX Base
- Video on the Banach Tarski Paradox

### Office hours (in person by default, virtual by request)

- Monday 11-12
- Tuesday 9-10 in the Math Learning Center and 12:40-1:40
- Wednesday 11-12
~~Friday 11-12~~- Or by appointment

Logan Axon

Department of Mathematics

MSC 2615

Gonzaga University

Spokane, WA 99258

Office: Herak 307A

Phone: 509.313.3897

Email: axon@gonzaga.edu

Last updated 1/11/2021