NUMber Theory

WHEN: August 30, 2023 - May 22, 2024

Mondays and Wednesdays, 6:00 - 7:00 pm Pacific Standard Time (PST), except major holidays and school breaks
All sessions are recorded and available for playback and download immediately after the class.

TEXTBOOKS AND PREREQUISITES

Introduction to Number Theory, by Matthew Crawford

https://www.amazon.com/Introduction-Number-Theory-Problem-Solving/dp/1934124125

Prerequisites: must have completed a course in prealgebra; interest in higher mathematics

TOPICS (not all may be covered)

Divisibility: the division algorithm, divisibility properties, divisibility rules
Prime numbers and prime factorization, factoring
Lcm's and gcd's, the Euclidean Algorithm
Bases of numeration
Modular arithmetic: properties, Fermat's Little Theorem, Euler's Theorem, Wilson's Theorem
Systems of linear congruences and the Chinese Remainder Theorem
Floor functions and Legendre's Formula
Special numbers
Diophantine equations
Number theoretic functions, Gauss's Formula, Mobius Inversion Formula (if time permits)

IMPORTANT

This class is ideal for any student interested in a career in mathematics/computer science/STEM. The class will be extremely helpful for students interested in participating in math competitions. Carefully selected problems from various math competitions and Olympiads from around the world will be discussed in class, and homework will be regularly given.

DEADLINE TO SIGN-UP: Monday, August 28, 2023

Please complete the sign-up form below and pay the tuition by August 28, 2023. Note that your spot in the class will only be confirmed upon receipt of your payment. Please only make a payment after completing the sign-up form.

Sign-Up

TUITION: $5500

I accept Zelle or Paypal.