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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.This course is University of California ag approved. Click here for more details. 
12 weeks 
12 weeks ARE YOU READY? DO YOU NEED THIS? 
Schedule
Friday
Jun 9  Aug 25 
7:30  9:00
PM ET
Jun 9  Aug 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 
Daniel Kneezel  $295 
$295

Wednesday
Jun 28  Sep 13 
7:30  9:00
PM ET
Jun 28  Sep 13
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  $295 
$295

Tuesday
Jul 18  Oct 3 
7:30  9:00
PM ET
Jul 18  Oct 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 
Luis Ares  $295 
$295
ENROLL 
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?
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 