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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? SYLLABUS |
Schedule
Friday
Jun 4 - Aug 20 |
7:30 - 9:00
PM ET
Jun 4 - Aug 20
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 |
Eric Wofsey | $350 |
$350
CLOSED |
Sunday
Jun 20 - Sep 19 |
7:30 - 9:00
PM ET
Jun 20 - Sep 19
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 |
Luís Finotti | $350 |
$350
ENROLL |
Monday
Sep 20 - Dec 13 |
7:30 - 9:00
PM ET
Sep 20 - Dec 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 |
TBA | $350 |
$350
ENROLL |
AoPS Holidays
There are no classes July 3–5, September 4–6, October 31, November 22–28, and December 20–January 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 |