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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
|
Tuesday
Jan 28 - Apr 15 |
7:30 - 9:00 PM ET
Jan 28 - Apr 15
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 |
Luis Ares |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
CLOSED
With Books $455
|
|
Sunday
Feb 16 - May 4 |
7:30 - 9:00 PM ET
Feb 16 - May 4
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 |
Thinula De Silva |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Sunday
Feb 16 - May 4 |
7:30 - 9:00 PM ET
Feb 16 - May 4
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 |
Ray Bai |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Monday
Mar 17 - Jun 9 |
7:30 - 9:00 PM ET
Mar 17 - Jun 9
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 |
Martha Maria Bernal Guillen |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Thursday
Apr 17 - Jul 3 |
7:30 - 9:00 PM ET
Apr 17 - Jul 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 |
Jason Gorgia |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Friday
May 9 - Aug 1 |
7:30 - 9:00 PM ET
May 9 - Aug 1
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 |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Wednesday
May 21 - Aug 6 |
7:30 - 9:00 PM ET
May 21 - Aug 6
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 |
Maria Mendes |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Monday
Jun 9 - Aug 25 |
7:30 - 9:00 PM ET
Jun 9 - Aug 25
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 |
Josh Zucker |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Sunday
Jun 15 - Sep 14 |
7:30 - 9:00 PM ET
Jun 15 - Sep 14
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 |
Luís Finotti |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
|
Tuesday
Jul 15 - Sep 30 |
7:30 - 9:00 PM ET
Jul 15 - Sep 30
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 |
Andrew Sayler |
$400
(~$34/lesson)
$455 w/books
|
$400
(~$34/lesson)
ENROLL
With Books $455
|
| Fall 2025 | This course will be offered in Fall 2025. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, October 31, November 24 ‐ November 30, and December 20, 2025 ‐ January 2, 2026.
Who Should Take?
This course is appropriate for students in grades 6-9 who have mastered basic algebra up through solving linear equations and manipulating multi-variable 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 7-10 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 |
