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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
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Thursday
Mar 25 - Jun 10 |
7:30 - 9:00
PM ET
Mar 25 - Jun 10
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 |
Ashley Ahlin |
$355
$406 w/books
|
$355
CLOSED
With Books $406
|
|
Sunday
Mar 28 - Jun 20 |
7:30 - 9:00
PM ET
Mar 28 - Jun 20
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 |
$355
$406 w/books
|
$355
CLOSED
With Books $406
|
|
Monday
May 10 - Aug 9 |
7:30 - 9:00
PM ET
May 10 - Aug 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 |
Luis Ares |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
|
Tuesday
Jun 1 - Aug 17 |
7:30 - 9:00
PM ET
Jun 1 - Aug 17
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 |
Alyssa Zisk |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
|
Friday
Jun 4 - Aug 20 |
4:00 - 5:30
PM ET –
Jun 4 - Aug 20
4:00 - 5:30 PM Eastern 3:00 - 4:30 PM Central 2:00 - 3:30 PM Mountain 1:00 - 2:30 PM Pacific Click here to see more time zones |
Aaron Doman |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
|
Wednesday
Jun 16 - Sep 1 |
7:30 - 9:00
PM ET
Jun 16 - Sep 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 |
Dana Paquin |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
|
Sunday
Jun 20 - Sep 19 |
7:30 - 9:00
PM ET
Jun 20 - Sep 19
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 |
Kathryn Lesh |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
|
Thursday
Aug 26 - Nov 11 |
7:30 - 9:00
PM ET
Aug 26 - Nov 11
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 |
Kate Thompson |
$355
$406 w/books
|
$355
ENROLL
With Books $406
|
| Fall 2021 | This course will be offered in Fall 2021. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes May 29–31, July 3–5, September 4–6, October 31, November 22–28, and December 20–January 2.
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
| Lesson 1 | Integers, Fractions, Decimals, and Number Bases |
| Lesson 2 | Base Number Arithmetic |
| Lesson 3 | Multiples, Divisors, and Prime Numbers |
| Lesson 4 | Common Factors, Common Multiples, Euclidean Algorithm |
| Lesson 5 | Divisor Problems, More with the Euclidean Algorithm |
| Lesson 6 | Factorials, Special Integers, Algebra with Integers |
| Lesson 7 | Units Digit, Introduction to Modular Arithmetic |
| Lesson 8 | Calculations with Modular Arithmetic |
| Lesson 9 | Divisibility Rules and Multiplicative Inverses |
| Lesson 10 | Multiplicative Inverses, Solving Linear Congruences |
| Lesson 11 | Systems of Linear Congruences and the Chinese Remainder Theorem |
| Lesson 12 | Number Sense and Applications of Number Theory |
Required Textbook
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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.
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