MA 261: Number theory

Kate Ponto
Fall 2018

Office hours
K. Ponto M 2-3:30, W 3-4:30 POT 739
M. Howard (UA) TTh 2-3 MathSkeller


Announcements

The textbook for this course will be Number theory through inquiry by Marshall, Odell, and Starbird. Both hard cover and electronic versions available. The electronic version is available through the MAA website.

A draft copy of the Syllabus and Presentation and Portfolio Guidelines.

Class portfolio template, Overleaf's introduction to Latex, Detexify

Sometimes you might need style suggestions when trying to write up your proofs. There are many guides that might help. (I'm including several because you will probably all have different preferences!)
Elements of Style by D. C. Ernst
How to write proofs: a quick guide by Eugenia Cheng
Chapter 3 of Bridge To Higher Mathematics, by Sam Vandervelde
Guidelines for good mathematical writing by Francis Su

Homework



Date Due Weekly Assignment Expected Discussion
(and Daily Homework to turn in) 		Actual Discussion Best guess for next week
8/24 1.1-1.4, 1.6-1.71.1-1.8
8/27 1.9-1.131.9-1.13
8/29 1.14- 1.17, 1.201.14-1.17
8/31 1.20 - 1.251.20 - 1.25 1.26 - 1.37, start Induction
9/51.26-1.311.26, 1.27
9/71.28-1.341.28-1.34More induction
9/101.6, 1.11, 1.161.35 - 1.37, Induction 1-41.35 - 1.37, Induction 1-3
9/12Induction 4-9Induction 4-8
9/14Induction 8-14Induction 8-11Exam!
9/171.21, 1.22, 1.26, 1.27, 1.28, 1.33, and ...
9/21Induction 12-17Induction 12-15Finish induction, 1.38- 1.48
9/241.21, 1.26, 1.33 Induction 16 - 21Induction 16-18
9/26 Induction 19-21, 1.39 - 1.42Induction 19-21
9/28 1.39 - 1.441.39 - 1.44Finish the first chapter
10/13, 7, 8 1.46 - 1.531.46 - 1.53(ish)
10/3 1.54 - 1.58, 2.1 - 2.31.54-1.57
10/5 1.58, 2.1-2.8 1.58. 2.1-2.7 2.8-2.31
10/81.38, 16, 18 2.8 - 2.152.8-2.9
10/10 2.10-2.15, 2.19, 2.202.10-2.15
10/12 2.19 - 2.272.19-2.24Exam next week!
10/151.53, 1.57, 2.1 Induction 17, 18, 20, 1.55, 1.57, 2.1, 2.3, 2.7, 2.9 and ...
10/19 2.24-2.292.24, 2.25
10/222.7, 2.13, 2.19 2.25-2.312.26-2.28
10/24 2.29-2.332.29, 2.30
10/26 2.31-2.352.31-2.35Finish Chapter 2!
10/29 2.24, 2.26 2.37, 2.38, 2.41-2.442.37, 2.38, 2.41
10/31 2.42-2.44, 2.25, 3.1-3.52.42, 2.43
11/2 2.43, 2.44, 2.25, 3.1-3.52.43, 2.44, 2.25, 3.1-3.4
11/5 3.5, 3.14 - 3.193.5, 3.14-3.16
11/7 3.17-3.20, 3.22-3.243.17-3.19
11/9 3.20, 3.22-3.273.20, 3.22-3.23
11/122.34, 2.38, 2.43 3.24-3.293.24-3.27
11/14 3.28, 3.29, 4.1-4.43.28, 3.29, 4.1, 4.2
11/16 2.27, 2.28, 2.35, 2.38, 3.16, 3.17, 3.24, 3.27
11/263.14, 3.17, 3.24 4.3, 4.4, 4.6, 4.8, 4.94.3, 4.4, 4.6, 4.8
11/28 4.9-4.11, 4.13, 4.144.9-4.11
11/30 4.13-4.184.13-4.18
12/3 4.27, 4.31, 4.32, 4.36-4.384.27, 4.31, 4.32, 4.36-4.38
12/5 1.26, 1.27, 2.7, 2.8, 2.12, 3.14, 3.15, 3.17, 3.22, 3.25, 3.26, 3.27, 3.28, 3.29, 4.3, 4.15, 4.16, 4.32
12/7


Portfolio

Date Due Problem Student
10/15 2.8 JT
All portfolio submissions above here are due on Friday.
12/5 4.4 RH
12/5 4.10 TM
12/7 4.13 JG
12/7 4.17 JS