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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
|
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 |
Eli Brottman |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
CLOSED
With Books $435
|
|
Friday
Sep 15 - Dec 8 |
7:30 - 9:00 PM ET
Sep 15 - Dec 8
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 |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
3 spots left |
|
Wednesday
Nov 1 - Feb 7 |
9:30 - 11:00 PM ET —
Nov 1 - Feb 7
9:30 - 11:00 PM Eastern 8:30 - 10:00 PM Central 7:30 - 9:00 PM Mountain 6:30 - 8:00 PM Pacific Click here to see more time zones |
Carl Yerger |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
|
Sunday
Dec 10 - Mar 10 |
7:30 - 9:00 PM ET
Dec 10 - Mar 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 |
David Reynoso Valle |
$380
(~$32/week)
$435 w/books
|
$380
(~$32/week)
ENROLL
With Books $435
|
AoPS Holidays
There are no classes October 31, November 20‐26, 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
|
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.
Related course: Introduction to Number Theory |
