NUMber Theory

WHEN: June 15 - August 10, 2023

Mondays and Thursdays, 9:00 - 10:30 am Pacific Standard Time (PST)
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

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: Saturday, June 10, 2023

Please complete the sign-up form below and pay the tuition by June 1, 2023. Note that your spot in the class will only be confirmed upon receipt of your payment.

Sign-Up

TUITION: $2500

I accept Zelle or Paypal.