ELEMENTARY NUMber Theory

• Tuesdays and Thursdays, 5:00 - 6:00 pm PST, except major holidays
• All sessions are recorded and available for playback immediately after the class.

• 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

• 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

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.

Please complete the sign-up form below and pay the tuition by February 22, 2025.  Note that your spot in the class will only be confirmed upon receipt of your payment. 

I accept Zelle or Paypal. Should you choose to pay monthly, your payment is due on the first day of each month.