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Number Theory
by Kiryl Tsishchanka

SYLLABUS
GRADE CALCULATOR
Course Evaluations
WolframAlpha
Tests

Weeks
Dates
Sections
Handouts
Homework
Due Dates
Mandatory Recommended
1
Aug 29, 31 Section 1.1
Numbers and Sequences
4, 8
1-17, 21, 22
Sep 7
2
Sep 5, 7
Section 1.2 Sums and Products
4, 22
1-4, 21-24
Sep 14 
3
Sep 10, 12, 14 Section 1.3 Mathematical Induction
8, 10, 22
1-12, 17-22
Sep 21
4
Sep 17, 19, 21 Section 1.4 The Fibonacci Numbers
2, 4, 12
1-17
Sep 28
Section 1.5 Divisibility
14, 16, 18, 20, 38
1-22, 28-35, 36-43
5
Sep 24, 26
Section 2.1 Representations of Integers
4, 6, 10
1-11
Oct 5
Sep 28
Sections 1.1-1.5 MIDTERM 1



6
Oct 1, 3, 5
Section 3.1 Prime Numbers
6, 8, 12, 14
1-16, 26
Oct 12
Section 3.3 Greatest Common Divisors
2, 6, 10, 26, 30
1-32
7
Oct 8, 10, 12 Section 3.4 The Euclidean Algorithm
4
1-8
Oct 19
Section 3.5 The Fundamental Theorem of Arithmetic (part 1)
4, 6, 30, 34, 40,
42, 44, 46, 56
1-16, 21, 27-31, 34-48,
50, 56, 58
Oct 26
8
Oct 15, 17
Section 3.5 The Fundamental Theorem of Arithmetic (part 2)
Oct 19
Sections 2.1, 3.1-3.4 MIDTERM 2



9
Oct 22, 24, 26 Section 4.1 Introduction to Congruences
2, 4, 12, 28, 30
1-5, 12-15, 20-22, 25-35
Nov 2
10
Oct 29, 31, Nov 2 Section 4.2 Linear Congruences
2, 8, 12
1-12, 15
Nov 9
Section 4.3 The Chinese Remainder Theorem
4, 6
1-12
11
Nov 5, 7, 9 Section 6.1 Wilson's Theorem and Fermat's Little Theorem
10, 16, 20, 22, 24
1-25, 28-34, 36, 37, 50, 52
Nov 16
12
Nov 12, 14, 16
Section 6.3 Euler's Theorem
4, 6, 8, 10, 12
4-13
Nov 30
Section 8.1 Character Ciphers
2, 4, 6, 8, 12
1-14
13
Nov 19 Section 8.4 Public Key Cryptography
2, 6
1-8
14 Nov 26, 28, 30 Section 11.1 Quadratic Residues and Nonresidues
2, 4
1-5
Dec 7
15, 16
Dec 3, 5, 7, 10 Section 11.2 The Law of Quadratic Reciprocity
1
1-5
Dec 10
17
Dec 13 (Thu), 2:00-5:00pm
Cumulative
FINAL EXAM