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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
Tuesday
Oct 11  Jan 17 
7:30  9:00
PM ET
Oct 11  Jan 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 
Dillon Liu  $285 
$285

Summer 2017  This course will be offered in Summer 2017. Click here to join our mailing list to be notified when the course schedule is available. 
AoPS Holidays
There are no classes May 29 or July 4.
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 