Need Help?
Need help finding the right class? Have a question about how classes work?
Click here to Ask AoPS!
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? |
Schedule
|
Thursday
Feb 21 - May 9 |
7:30 - 9:00
PM ET
Feb 21 - May 9
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 |
Jeffrey Hankins | $325 |
$325
|
|
Friday
Mar 22 - Jun 7 |
7:30 - 9:00
PM ET
Mar 22 - Jun 7
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 | $325 |
$325
ENROLL |
|
Wednesday
Jun 5 - Aug 21 |
7:30 - 9:00
PM ET
Jun 5 - Aug 21
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 | $325 |
$325
ENROLL |
|
Tuesday
Jun 18 - Sep 3 |
7:30 - 9:00
PM ET
Jun 18 - Sep 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 |
TBA | $325 |
$325
ENROLL |
AoPS Holidays
There are no classes May 27, July 4, or September 2.
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 |
