Math 345, Fall 2017
Theory of Numbers

 

Logistics

Professor: Zajj Daugherty
Office hours: Mo 12:45–1:45 or by appointment in NAC 6/301.
Class: MoWe 2:00–3:15 in NAC 4/222
Textbook: A Friendly Introduction to Number Theory (4th edition), by Joseph H. Silverman.
Grades: (Click for grading rubric and details on course expectations.)

Schedule

Week 1 Read chapters 1 and 2, and the two handouts from the "Writing guide" section below.
Monday: handout. Wednesday: slides, notes, handout.
HW0 Due Thursday 8/31: Email zdaugherty@gmail.com from your preferred email account with subject line "Math 345: Homework 0" and the information below.
HW1 Due Wednesday 9/6: Exercises 1, 2, 3, 4, and 5, concluding with "Writing exercise". (solutions, workbook)
Quiz Wednesday 9/6 in class, covering chapters 1 and 2. Solutions
Week 2 Read chapter 3. No class Monday.
Wednesday: slides, notes, handout.
HW2 Due Wednesday 9/13: Exercises 6 and 7, concluding with "Writing exercise". (solutions, workbook)
Week 3 Read chapter 5 and 6 (skip 4).
Monday: slides, notes, handout. Wednesday: slides, notes, handout, spreadsheet.
HW3 Due Monday 9/25: Exercises 8—12, concluding with "Writing exercise". (solutions, workbook)
Week 4 Read chapters 7 and 8. No class Wednesday 9/20.
Monday: slides, notes, handout.
HW4 Due Wednesday 9/27: Exercises 13—16. (solutions)
Quiz Wednesday 9/27 in class, covering chapters 5—8. Solutions
Week 5 Read chapters 8 and 9.
Monday: slides, notes, handout.
Wednesday: slides, notes, handout, spreadsheet.
HW5 Due Wednesday 10/4: Exercises 17—22. (solutions, workbook)
Week 6 Read chapters 10 and 11.
Monday: slides, notes, handout.
Wednesday: slides, notes, handout.
HW6 Due Wednesday 10/11: Exercises 23, 24, 25, 26. (solutions)
Quiz Wednesday 10/11 in class, covering chapters 8—11. Solutions
Week 7 Read chapter 12.
Wednesday: slides, notes, handout.
HW7 Due Wednesday 10/18: Exercises 27, 28.
Exam Wednesday 10/18 and Monday 10/23 in class, covering chapters 1—12.
Wednesday: computational and quick questions (solutions/grading).
Monday: proofs (solutions/grading).
Week 8 Read chapter 13. Review.
Wednesday: slides, notes. No Homework.
Week 9 Read chapter 16.
Wednesday: slides, notes, handout.
HW8 Due Wednesday 11/1: Exercises 29, 30, 31. (solutions)
Week 10 Read chapter 17, 18.
Monday: slides, notes, handout
Wednesday: slides, notes, handout.
HW9 Due Wednesday 11/8: Exercises 32, 33, 34, 35, 36. (solutions)
Quiz Wednesday 11/8 in class, covering chapters 16, & 17. Solutions
Week 11 Read chapter 20, 21, 22.
Monday: slides, notes, handout
Wednesday: slides, notes, handout
HW10 Due Wednesday 11/15: Exercises 37, 38, 39, 40, 41. (solutions)
Week 12 Read chapter 27, 28, 29.
Monday: slides, notes, handout
Wednesday: slides, notes, handout
HW11 Due Wednesday 11/22: Exercises 42-47. (solutions) (spreadsheet)
Week 13 Read chapter 35.
Monday: slides, notes, handout
Wednesday: slides, notes, handout
Quiz Wednesday 11/22 in class, covering chapters 20—22, 27—29. Solutions
HW12 Due Wednesday 11/29: Exercises 48-??.
Week 14 Read chapter 36, 37. No notes.
HW13 Due Wednesday 12/6: Book exercises Chapter 36: #2(a), 3, 4, 5(a); Chapter 37: #1(a), 2, 3, 4, 8(a)(d).

Writing guide

For the basic requirements of homework write-ups, see writing tips.
Also, see Francis Su's Guidelines for Good Mathematical Writing.

If you are interested in learning to type up your homework using LaTeX, there are lots of great resources out there. To see my code, the LaTeX files for notes and handouts can be found by replacing .pdf with .tex for most of the files above. You'll also need preamble.tex (occasionally updated). You can find another sample on my teaching page, and lots of sample code at TeXample.net. The Not So Short guide to LaTeX is linked from my resources page. You can obtain LaTeX via LaTeXproject.org.

Extra details for special homework assignments

Homework 0 info: Email zdaugherty@gmail.com from your preferred email account with subject line "Math 345: Homework 0", including the following information:
(a) What name you like to go by, and how is it pronounced.
(b) What you're majoring in, and why.
(c) What your general long-term goals are.
(d) Something that you're really good at.
(e) A photo or a description of yourself to help me learn your name faster.