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Number Theory
by Kiryl Tsishchanka

SYLLABUS
GRADE CALCULATOR
WolframAlpha
Tests

Weeks
Dates
Sections
Handouts
Homework
Due Dates

Mandatory Recommended


1


July 10
Section 1.1
Numbers and Sequences
4, 8
1-17, 21, 22
Fri, July 14
July 11 Section 1.2 Sums and Products
4, 22
1-4, 21-24
Fri, July 14
July 12 Section 1.3 Mathematical Induction
8, 10, 22
1-12, 17-22
Fri, July 14
July 13 Section 1.4 The Fibonacci Numbers
2, 4, 12
1-17
Tue, July 18
July 14 Section 1.5 Divisibility
14, 16, 18, 20, 38
1-22, 28-35, 36-43
Tue, July 18


2


July 17 Section 2.1 Representations of Integers
4, 6, 10
1-11
Tue, July 18
July 18 Section 3.1 Prime Numbers
6, 8, 12, 14
1-16, 26
Fri, July 21
July 19 Section 3.3 Greatest Common Divisors
2, 6, 10, 26, 30
1-32
Fri, July 21
July 20 Section 3.4 The Euclidean Algorithm
4
1-8
Fri, July 21
July 21 Section 3.5 The Fundamental Theorem of Arithmetic (part 1)
4, 6, 30, 34, 40,
42, 44, 46, 56
1-16, 21, 27-31, 34-36,
40-48, 50, 56, 58
Tue, July 25

3

July 24
Section 3.5 The Fundamental Theorem of Arithmetic (part 2)
July 25 Sections 1.1-1.5, 2.1, 3.1, 3.3-3.5
MIDTERM



July 26 Section 4.1 Introduction to Congruences
2, 4, 12, 28, 30
1-5, 12-15, 20-22, 25-35
Fri, July 28
July 27 Section 4.2 Linear Congruences
2, 8, 12
1-12, 15
Fri, July 28
July 28 Section 4.3 The Chinese Remainder Theorem




4

July 31, Aug 1
Section 6.1 Wilson's Theorem and Fermat's Little Theorem



Aug 2
Section 6.3 Euler's Theorem



Aug 3
Section 8.1 Character Ciphers



Aug 4
Section 8.4 Public Key Cryptography



5
Aug 7, 8
Section 11.1 Quadratic Residues and Nonresidues



Aug 9, 10, 11
Section 11.2 The Law of Quadratic Reciprocity



Aug 12 (Sat), 9:00am-12:00pm
in RLM 7.104
Cumulative
FINAL EXAM