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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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Sunday
Jun 5 - Aug 28 |
7:30 - 9:00 PM ET
Jun 5 - Aug 28
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 |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
CLOSED
With Books $425
|
|
Tuesday
Jun 14 - Aug 30 |
7:30 - 9:00 PM ET
Jun 14 - Aug 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 |
Jason Gorgia |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
FULL
With Books $425
|
|
Thursday
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 |
Charles Buehrle |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
|
Sunday
Aug 7 - Oct 30 |
7:30 - 9:00 PM ET
Aug 7 - Oct 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 |
Eric Wofsey |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
|
Thursday
Sep 1 - Nov 17 |
7:30 - 9:00 PM ET
Sep 1 - Nov 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 |
Sindi Sabourin |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
|
Wednesday
Oct 5 - Jan 11 |
7:30 - 9:00 PM ET
Oct 5 - Jan 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 |
TBA |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
|
Friday
Oct 28 - Feb 3 |
7:30 - 9:00 PM ET
Oct 28 - Feb 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 |
TBA |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
|
Sunday
Dec 11 - Mar 12 |
7:30 - 9:00 PM ET
Dec 11 - Mar 12
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 |
TBA |
$370
(~$31/week)
$425 w/books
|
$370
(~$31/week)
ENROLL
With Books $425
|
AoPS Holidays
There are no classes May 28‐30, July 2‐4, September 3‐5, October 31, November 21‐27, and December 21‐January 3.
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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