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    • Home
    • Fall 2023/Spring 2024
      • Plane Geometry
      • Number Theory
      • AMC 8/Mathcounts
      • AMC 10
      • AIME
      • Modular Arithmetic
      • Calculus BC
      • Trigonometry
      • FREE Middle Math Festival
      • High School Math Festival
    • Class Descriptions
      • Current/Upcoming Courses
    • About Me
      • LinkedIn Profile
    • Learning Pods/1-1 Classes
    • Problem Column
    • Blank
Sega Math Academy
  • Home
  • Fall 2023/Spring 2024
    • Plane Geometry
    • Number Theory
    • AMC 8/Mathcounts
    • AMC 10
    • AIME
    • Modular Arithmetic
    • Calculus BC
    • Trigonometry
    • FREE Middle Math Festival
    • High School Math Festival
  • Class Descriptions
    • Current/Upcoming Courses
  • About Me
    • LinkedIn Profile
  • Learning Pods/1-1 Classes
  • Problem Column
  • Blank

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.

Number Theory

$5,500.00
Pay with PayPal or a debit/credit card

NOTE. Payment for this class is nonrefundable.


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