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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.This course is University of California a-g approved. Click here for more details. |
12 weeks |
| 12 weeks ARE YOU READY? DO YOU NEED THIS? |
Schedule
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Wednesday
May 31 - Aug 16 |
7:30 - 9:00
PM ET
May 31 - Aug 16
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 |
Ameera Chowdhury |
$295
$342 w/books
|
$295
FULL
With Books $342
|
|
Tuesday
Jun 13 - Sep 5 |
7:30 - 9:00
PM ET
Jun 13 - Sep 5
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 |
Daniel Kneezel |
$295
$342 w/books
|
$295
FULL
With Books $342
|
|
Thursday
Jun 29 - Sep 14 |
7:30 - 9:00
PM ET
Jun 29 - 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 |
Luis Ares |
$295
$342 w/books
|
$295
With Books $342
|
|
Friday
Sep 22 - Dec 15 |
7:30 - 9:00
PM ET
Sep 22 - Dec 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 |
TBA |
$295
$342 w/books
|
$295
ENROLL
With Books $342
|
|
Tuesday
Oct 24 - Jan 30 |
7:30 - 9:00
PM ET
Oct 24 - Jan 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 |
Dave Patrick |
$295
$342 w/books
|
$295
ENROLL
With Books $342
|
| Spring 2018 | This course will be offered in Spring 2018. Click here to join our mailing list to be notified when the course schedule is available. | |||
AoPS Holidays
There are no classes September 4, November 18 - 26, 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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