Number theory:  worksheets and handouts


Here are the worksheets, listed by date and title.

Homework assignments
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13 Jan:    Division
15 Jan:    The Euclidean Algorithm
22 Jan:    The Calendar
24 Jan:    Solving Congruences
29 Jan:    Solving Congruences:  two at a time

(first test)

5 Feb:    Unique factorization, or not
10 Feb:    How many primes?
12 Feb:    Arithmetic functions
14 Feb:    Multiplicative functions
19 Feb:    More on divisors
21 Feb:    The divisor game
24 Feb:    The Mobius function
3 Mar:    Cyclic groups
7 Mar:    Pseudoprimes:  composites in disguise
12 Mar:    RSA encryption

(second test)

24 Mar:    Polynomial congruences
26 Mar:    Quadratic congruences
28 Mar:    Legendre symbols
31 Mar:    Gauss's lemma
4 Apr:    Quadratic reciprocity

(third test)

14 Apr:    Primitive roots
23 Apr:    Sums of two squares
 

Other handouts:    (see the homework page for the homework handouts)

Sample proof 1    (24 January)
Sample proof 2    (17 February)
Primality testing    (10 March)
Review for test 2    (12 March)
Test 2 solutions    (14 March)
Review for test 3    (7 April)
A little algebra    (16 April)
Quaternions    (25 April)
Minkowski's theorem and sums of four squares    (30 April)