Need Help?
Need help finding the right class? Have a question about how classes work?
Intermediate Number TheoryNumber theory using algebraic techniques, multiplicative functions, Diophantine equations, modular arithmetic, Fermat's/Euler's Theorem, primitive roots, and quadratic residues. Much of the first half of the class emphasizes using the basic tools of the Introduction class in clever ways to solve difficult problems. In the second half, more theory will be developed, leading students to the beginning Olympiad level. |
12 weeks |
12 weeks ARE YOU READY? DO YOU NEED THIS? SYLLABUS |
Schedule
Monday
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 |
Chuck Garner | $390 (~$33/week) |
$390
(~$33/week)
CLOSED |
Friday
Feb 16 - May 3 |
7:30 - 9:00 PM ET
Feb 16 - May 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 |
Judy Frank | $390 (~$33/week) |
$390
(~$33/week)
CLOSED |
Tuesday
Apr 9 - Jun 25 |
7:30 - 9:00 PM ET
Apr 9 - Jun 25
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 | $390 (~$33/week) |
$390
(~$33/week)
ENROLL |
Summer 2024 | This course will be offered in Summer 2024. Click here to join our mailing list to be notified when the course schedule is available. |
AoPS Holidays
There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, and November 25 ‐ December 1.
Who Should Take?
Students should have a complete understanding of modular arithmetic, and a mastery of algebra through our Intermediate Algebra class (or a typical honors Algebra 2 class and some Precalculus) before taking this class.Lessons
Lesson 1 | Introduction |
Lesson 2 | Bases |
Lesson 3 | Divisibility |
Lesson 4 | Divisors and Multiplicative Functions |
Lesson 5 | Prime Factorizations |
Lesson 6 | Algebra in Modular Arithmetic |
Lesson 7 | Linear Diophantine Equations |
Lesson 8 | Perfect Squares |
Lesson 9 | Fermat's Little Theorem and Euler's Theorem |
Lesson 10 | Orders and Primitive Roots |
Lesson 11 | Quadratic Residues and Squares |
Lesson 12 | Sums of Two Squares |