## 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 (including revised proofs) should be copied into your OneDrive folder by the end of the due date.

- Week 1
- 1/12: discuss the syllabus and the proof portfolio (and maybe some questions or psuedaria).
- 1/14: 1.1-5.

- Week 2
- 1/17: MLK Day; no class.
- 1/19: 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.

- 1/21: 1.8,10 and 2.1. First LaTeX assignment (pre-portfolio entry) due today.

- Week 3
- 1/24: 2.2-6. Start a worksheet (
**due Wednesday**; .tex). - 1/26: 2.7-9. Homework due
~~today~~**Friday**:- 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.

- 1/28: 2.9-12. Portfolio expository entry 1 due
~~today~~**Monday**.

- 1/24: 2.2-6. Start a worksheet (
- Week 4
- Week 5
- 2/7: Review/more proofs (old exam 1).
- 2/9:
**Exam on chapters 1, 2, and 4.** - 2/11: Chapter 5 and a worksheet (.tex).

- Week 6
- 2/14: Chapters 5 and 6. Portfolio expository entry 2 due today.
- 2/16: Chapters 5 and 6.
- 2/18: Chapter 6. and a worksheet (.tex). Homework due today:
- 5: 1, 4, 5, 6, 11, 12, 15, 18
- 6: 5, 6

- Week 7
- 2/21: Presidents' Day; no class
- 2/23: Chapter 6 and 7. Portfolio proof A (.tex)
**due today.** - 2/25: 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

- Week 8
- 2/28: Chapter 7.
- 3/2: Chapter 8.
- 3/4: Perfect numbers (and more on perfect numbers).
**Revised portfolio proof A due today**. Homework due today:- Ch. 7: 10, 12, 17, 18, 16, 25
- Ch. 8: 3, 4, 5, 7

- Spring break
- Week 9
- 3/14: Chapter 9 introduced in a worksheet.
- 3/16: Continue the worksheet from last class. Portfolio proof B (.tex)
**due today**. - 3/18: Portfolio review. Homework due today:
- Ch. 8: 13, 14, 19, 20, 26, 27
- Ch. 9: 1, 4, 7, 8, 9, 15, 28, 30

- Week 10
- 3/21: Chapter 10. Read the introduction to chapter 10 before class.
- 3/23: Chapter 10 continued. Start a worksheet (.tex).
**Revisions of portfolio proof B**and Portfolio proof C (.tex)**due today**. - 3/25: Portfolio review. Homework due today:
- Ch. 9: 16, 23, 34
- Ch. 10: 1, 2, 8, 13, 19, 20 (suggested, but optional: 5, 15)

- Week 11
- 3/28: Continue chapter 10.
- 3/30: 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.
- The exam will be open from 6:00 AM Wednesday to 6:00 PM Thursday.
- Once you start, you have 120 minutes (2 hours) to complete the exam.
- Plan to work from notes and other materials (reference to definitions is essential for proofs); organize ahead of time.

- 4/1: More chapter 10 (strong induction). Portfolio proof D (.tex)
**due by 11:59 PM today**.

- Week 12
- 4/4: Portfolio review. Read 10.2 Proof by Strong Induction and 10.3 Proof by Smallest Counterexample.
- 4/6: Chapter 11. Start a worksheet (also in .tex).
- 4/8: Chapter 11.
**Homework due today:**- Ch. 10: 21, 25, 26, 30
- Ch. 11.1: 1, 2, 5, 6, 9, 12, 13, 15

- Week 13
- 4/11: Chapter 11. Portfolio proof E (.tex) and
**portfolio C and D revisions due today**. - 4/13: Portfolio review.
- 4/15: Good Friday; no class.

- 4/11: Chapter 11. Portfolio proof E (.tex) and
- Week 14
- 4/18: Easter Monday; no class.
- 4/20: Chapter 12. A worksheet (also in .tex). Portfolio expository entry 3 due today.
- 4/22: 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
- 4/25: Chapter 14.
- 4/27: A worksheet. Portfolio proof F (.tex) due today.
- 4/29: Portfolio review. Suggested problems (will not be collected or graded):
- 11.4: 3, 5
- 12.2: 1, 6, 7, 8, 9, 11, 13
- 12.3: 1, 3
- 12.4: 1, 3, 5, 7, 9
- 12.5: 1, 3, 7

- Final exam week
- Office hours:
- Monday 3-4
- Tuesday 11:00-12:30
- Wednesday 11:00-12:30
- Thursday 10:15-11:15
- Friday 10:00-12:00
- Or by appointment.

- Final Portfolio (portfolio-template.tex and pdf)
**due by 4:00 PM Wednesday 5/4**. **Final Exam 1-3 Thursday 5/5.**- A review guide.
- You are allowed one side of one 8.5" by 11" sheet of notes.

- Final exam schedule.

- Office hours:

### Links and class resources

- The Book of Proof
- Syllabus
- Proof portfolio
- Math 301 Fall 2021
- 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 in Herak 307A unless otherwise specified, or via Zoom by request.

- Monday 9-10 in the Math Learning Center and 2:30-3:30
- Wednesday 2:30-3:30
- Friday 9:30-10:30
- 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 4/29/2022