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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? |
Schedule
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Tuesday
Apr 28 - Jul 14 |
4:00 - 5:30
PM ET –
Apr 28 - Jul 14
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 |
Homero Renato Gallegos Ruiz |
$340
$391 w/books
|
$340
CLOSED
With Books $391
|
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Tuesday
May 19 - Aug 4 |
7:30 - 9:00
PM ET
May 19 - Aug 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 |
Adam Rumpf |
$340
$391 w/books
|
$340
CLOSED
With Books $391
|
|
Tuesday
May 19 - Aug 4 |
7:30 - 9:00
PM ET
May 19 - Aug 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 |
Joseph Stahl |
$340
$391 w/books
|
$340
CLOSED
With Books $391
|
|
Monday
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 |
Aaron Doman |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
|
Monday
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 |
Chuck Garner |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
|
Thursday
Jun 4 - Aug 20 |
7:30 - 9:00
PM ET
Jun 4 - Aug 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 |
Christian Hokaj |
$340
$391 w/books
|
$340
WAITLIST
With Books $391
|
|
Sunday
Jun 21 - Sep 20 |
7:30 - 9:00
PM ET
Jun 21 - Sep 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 |
Luis Finotti |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
|
Wednesday
Sep 2 - Nov 18 |
7:30 - 9:00
PM ET
Sep 2 - Nov 18
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 |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
|
Friday
Sep 25 - Dec 18 |
7:30 - 9:00
PM ET
Sep 25 - Dec 18
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 |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
|
Thursday
Dec 10 - Mar 11 |
7:30 - 9:00
PM ET
Dec 10 - Mar 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 |
$340
$391 w/books
|
$340
ENROLL
With Books $391
|
AoPS Holidays
There are no classes July 3–5, September 5–7, 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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