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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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Monday
Feb 13 - May 1 |
7:30 - 9:00 PM ET
Feb 13 - May 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 |
Homero Gallegos |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
CLOSED
With Books $435
|
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Sunday
Mar 19 - Jun 11 |
7:30 - 9:00 PM ET
Mar 19 - Jun 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 |
Emily Castner |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
3 spots left |
|
Thursday
Apr 13 - Jun 29 |
7:30 - 9:00 PM ET
Apr 13 - Jun 29
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 |
Laura Pierson |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Tuesday
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 |
Kate Thompson |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Wednesday
Jun 7 - Aug 23 |
7:30 - 9:00 PM ET
Jun 7 - Aug 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 |
Luis Ares |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Friday
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 |
Emily Castner |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Sunday
Jun 25 - Sep 17 |
7:30 - 9:00 PM ET
Jun 25 - Sep 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 |
Anna Meyers |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Tuesday
Aug 1 - Oct 17 |
7:30 - 9:00 PM ET
Aug 1 - Oct 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 |
TBA |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
| Fall 2023 | This course will be offered in Fall 2023. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes May 27‐29, July 4, September 2‐4, October 31, November 20‐27, and December 21‐January 3, 2024.
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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