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Introduction to Number TheoryFundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases. 
12 weeks 
12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS 
Schedule
Friday
Jun 21  Sep 13 
7:30  9:00 PM ET
Jun 21  Sep 13
7:30  9:00 PM Eastern 6:30  8:00 PM Central 5:30  7:00 PM Mountain 4:30  6:00 PM Pacific Click here to see more time zones 
Aaron Doman 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
CLOSED
With Books $445

Sunday
Jun 30  Sep 22 
3:30  5:00 PM ET –
Jun 30  Sep 22
3:30  5:00 PM Eastern 2:30  4:00 PM Central 1:30  3:00 PM Mountain 12:30  2:00 PM Pacific Click here to see more time zones 
Annie Meyers 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
CLOSED
With Books $445

Sunday
Aug 11  Nov 3 
7:30  9:00 PM ET
Aug 11  Nov 3
7:30  9:00 PM Eastern 6:30  8:00 PM Central 5:30  7:00 PM Mountain 4:30  6:00 PM Pacific Click here to see more time zones 
Christian Hokaj 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
ENROLL
With Books $445

Friday
Sep 6  Nov 22 
7:30  9:00 PM ET
Sep 6  Nov 22
7:30  9:00 PM Eastern 6:30  8:00 PM Central 5:30  7:00 PM Mountain 4:30  6:00 PM Pacific Click here to see more time zones 
Sindi Sabourin 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
ENROLL
With Books $445

Thursday
Oct 10  Jan 23 
7:30  9:00 PM ET
Oct 10  Jan 23
7:30  9:00 PM Eastern 6:30  8:00 PM Central 5:30  7:00 PM Mountain 4:30  6:00 PM Pacific Click here to see more time zones 
Aaron Doman 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
ENROLL
With Books $445

Monday
Dec 2  Mar 3 
7:30  9:00 PM ET
Dec 2  Mar 3
7:30  9:00 PM Eastern 6:30  8:00 PM Central 5:30  7:00 PM Mountain 4:30  6:00 PM Pacific Click here to see more time zones 
Chuck Garner 
$390
(~$33/lesson)
$445 w/books

$390
(~$33/lesson)
ENROLL
With Books $445

AoPS Holidays
There are no classes August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.
Who Should Take?
This course is appropriate for students in grades 69 who have mastered basic algebra up through solving linear equations and manipulating multivariable expressions. Students who have completed our Introduction to Algebra A course should have sufficient background. Students who are already proficient with modular arithmetic and basic Diophantine equations do not need this course. This course is roughly the same difficulty as our Introduction to Counting and Probability class. For those preparing for contests, this course should help with MATHCOUNTS and the AMC 8/10/12 tests.Lessons
1  Integers, Fractions, Decimals, and Number Bases 
2  Base Number Arithmetic 
3  Multiples, Divisors, and Prime Numbers 
4  Common Factors, Common Multiples, Euclidean Algorithm 
5  Divisor Problems, More with the Euclidean Algorithm 
6  Factorials, Special Integers, Algebra with Integers 
7  Units Digit, Introduction to Modular Arithmetic 
8  Calculations with Modular Arithmetic 
9  Divisibility Rules and Multiplicative Inverses 
10  Multiplicative Inverses, Solving Linear Congruences 
11  Systems of Linear Congruences and the Chinese Remainder Theorem 
12  Number Sense and Applications of Number Theory 
Required Textbook
Introduction to Number Theory
A thorough introduction for students in grades 710 to topics in number theory such as primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and more.
Related course: Introduction to Number Theory 