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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. 
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
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 