Home Precalculus
Calculus I, II Sequences, Series and Multivariable Calculus
Multivariable Calculus
Advanced Calculus II
Elementary Statistics
Teaching Discrete Mathematics Number Theory Differential Equations and Linear Algebra
Linear Algebra and Matrix Theory Linear Algebra
Probability
Math Online Tests

DELA Problems
DELA Tests
Calculus Problems
Calculus Tests
Precalculus Problems
Precalculus Tests
College Algebra Problems
Arithmetic Problems
MATH CONTESTS

Number Theory
Kiryl Tsishchanka

SYLLABUS
GRADE CALCULATOR
Course Evaluations
WolframAlpha
Tests
STUDY TIPS
Weeks
Dates
Sections
Lecture Notes and Videos Homework SLD
Due Dates
Mandatory Recommended
1
Jan 19, 21 Section 1.1
Numbers and Sequences V1, V2, V3 
4, 8
1-17, 21, 22
Jan 28
2
Jan 24, 26, 28
Section 1.2
Sums and Products V1, V2 
4, 22 1-4, 21-24
Feb 4
3
Jan 31, Feb 2, 4 Section 1.3
Mathematical Induction V1, V2, V3 
8, 10, 22 1-12, 17-22
Feb 11
4
Feb 7, 9, 11 Section 1.4
The Fibonacci Numbers V 
2, 4, 12 1-17
Feb 18
Section 1.5
Divisibility V 
14, 16, 18, 20, 38 1-22, 28-35, 36-43
Feb 18
5
Feb 14, 16, 18
Section 2.1
Representations of Integers V 
4, 6, 10 1-11
Mar 4
Section 3.1
Prime Numbers V 
6, 8, 12, 14 1-16, 26
Mar 4
6
Feb 21, 23
Section 3.3
Greatest Common Divisors V 
2, 6, 10, 26, 30 1-32
Mar 4
Feb 25
Sections 1.1-1.5 MIDTERM 1



7
Feb 28, Mar 2, 4 Section 3.4
The Euclidean Algorithm V1, V2 
4 1-8
Mar 11
Section 3.5
The Fundamental Theorem of Arithmetic (part 1) V 
4, 6, 30, 34, 40,
42, 44, 46, 56
1-16, 21, 27-31, 34-48,
50, 56, 58
Mar 25
8
Mar 7, 9, 11 Section 3.5
The Fundamental Theorem of Arithmetic (part 2) V 
9
Mar 14-19
Spring Break
10
Mar 21, 23, 25 Section 4.1
Introduction to Congruences V 
2, 4, 12, 28, 30 1-5, 12-15, 20-22, 25-35
Apr 1
11
Mar 28, 30, Apr 1 Section 4.2
Linear Congruences V 
2, 8, 12 1-12, 15
Apr 8
Section 4.3
The Chinese Remainder Theorem V 
4, 6 1-12
Apr 8
12
Apr 4, 6, 8
Section 6.1
Wilson's Theorem and Fermat's Little Theorem V1, V2 
10, 16, 20, 22, 24 1-25, 28-34, 36, 37, 50, 52
Apr 22
13
Apr 11, 13 Section 6.3
Euler's Theorem V 
4, 6, 8, 10, 12 4-13
Apr 22
Apr 15 Sections 2.1, 3.1, 3.3-3.5, 4.1-4.3 MIDTERM 2


14 Apr 18, 20, 22
Section 8.1 Character Ciphers
2, 4, 6, 8, 12 1-14
Apr 29
Section 8.4
Public Key Cryptography V 
2, 6 1-8
Apr 29
15
Apr 25, 27, 29 Section 11.1 Quadratic Residues and Nonresidues
2, 4 1-5
May 6
16
May 2, 4, 6 Section 11.2 The Law of Quadratic Reciprocity
1 1-5
May 6
17
May 13 (Fri) 9:00am-12:00pm  Cumulative
FINAL EXAM