Office hours:
Monday 8:30-9:30am
Wednesday 1-2pm
Friday 10:30-11:30am
January
| Monday | Wednesday | Friday |
|---|---|---|
15 No classes: Martin Luther King Day |
17 First day of classes |
19 Section 1 (Least element principle and Archimedean principle) |
22 Reading quiz: Section 1 Homework 1 is due in class Section 1 (Divisibility) Suggested problems: |
24 Section 1 (GCD) Quiz 2 and Solutions to Quiz 2 Suggested problems: |
26 |
January/February
| Monday | Wednesday | Friday |
|---|---|---|
29 Reading quiz: Section 1, pages 5 through 9 Homework 2 is due in class Section 1 (The Division Algorithm) Suggested problems: |
31 Section 1 (The Division and Euclidean Algorithms) Suggested problems: |
2 |
5 Reading quiz: Section 3 Homework 3 is due in class Section 1 (Theorem 4 and corollaries) Suggested problem: |
7 |
9 Section 3 (Theorem 1) Suggested problems: |
12 Reading quiz: Section 2 Homework 4 is due in class Section 2 (Definition of prime) Suggested problem: |
14 Section 2 (Definition of composite and unit, Unique factorization into primes) Quiz 9 and Solutions to Quiz 9 Suggested problems: |
16 Class canceled today |
19 No classes: President's Day |
21 Special office hours at 8:30am today No reading quiz Homework 5 is due in class Section 2 (Unique factorization into primes) Suggested problem: |
23 Section 4 (Introduction to congruences) Quiz 10 and Solutions to Quiz 10 Suggested problems: |
February/March
| Monday | Wednesday | Friday |
|---|---|---|
26 Reading quiz: Sections 4 and 5 Homework 6 is due in class Section 4 (Congruences) Suggested problems: |
28 Section 4 (Intro to the ring ZZ/mZZ) Quiz 12 and Solutions to Quiz 12 Suggested problems: |
2 Section 4 (Units, inverses, and zero divisors in ZZ/mZZ) Suggested problems: |
5 |
7 Exam 1, in class Information about Exam 1 |
9 Loose ends from Section 2 |
12 No classes: Spring break |
14 No classes: Spring break |
16 No classes: Spring break |
19 Reading quiz: Section 5 No homework Section 5 (Solving ax = b (mod m), lifting from ZZ/mZZ to ZZ/nZZ) Suggested problems: |
21 Section 5 (Solving ax = b (mod m)) Quiz 15 and Solutions to Quiz 15 Suggested problems: |
23 Section 5 (Chinese Remainder Theorem) Suggested problems: |
26 Reading quiz: Section 6 Homework 8 is due in class Section 5 (Generalizations of CRT) Suggested problems: |
28 Section 5 (Generalizations of CRT) Suggested problems: |
30 Section 6 (Fermat's Little Theorem and Wilson's Theorem) Quiz 17 and Solutions to Quiz 17 Suggested problems: |
April/May
| Monday | Wednesday | Friday |
|---|---|---|
2 Reading quiz: Section 7 Homework 9 is due in class Section 6 (Fermat's Little Theorem) Suggested problems: |
4 Section 7 (Formulae for d and sigma) Quiz 19 and Solutions to Quiz 19 Suggested problems: |
6 Special office hours from noon to 1pm Section 7 (Multiplicative functions) Suggested problems: |
9 |
11 Exam 2, in class Information about Exam 2 Exam 1 from 2017 and solutions to Exam 1 from 2017 |
13 More about multiplicative functions |
16 Reading quiz: Section 9 No homework Section 9 (Euler-phi function) Suggested problems: |
18 Section 9 (Euler's Theorem) Suggested problems: |
20 Section 10 (Order of a mod n) Quiz 21 and Solutions to Quiz 21 Suggested problems: |
23 Reading quiz: Section 11 Homework 11 is due in class Section 10 (Order of a mod n) Suggested problem: |
25 Section 10 (Primitive roots) Suggested problems: |
27 Quadratic congruences for p odd Quiz 23 and Solutions to Quiz 23 Suggested problems: |
30 No reading quiz Homework 12 is due in class Quadratic congruences for p = 2 Quiz 24 and Solutions to Quiz 24 Suggested problems: |
2 Quadratic congruences for general n Suggested problems: |
4 |
Final Exam
Thursday May 10, 10:30am - 1:15pm, Lafayette 102
Information about the Final Exam
Practice Final Exam and solutions to the Practice Final Exam
Note that there was a typo in #13: we must assume (a,p) = 1 for the problem to be correct.
Exam 2 from Spring 2016 and solution to Exam 2 from Spring 2016
Exam 2 from Spring 2017 (not #1c)) and solutions to Exam 2 from Spring 2017
Final Exam from Spring 2016 and solutions to the Final Exam from Spring 2016
Final Exam from Spring 2017 (not #3c), #10b), #12b)) and solutions to the Final Exam from Spring 2017