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    • Home
    • Winter/Spring 2023
      • Plane Geometry
      • AMC 8/Mathcounts
      • Beginning AMC 10/12
      • AIME
      • Modular Arithmetic
      • Calculus BC
      • Trigonometry
      • FREE Middle Math Festival
      • High School Math Festival
      • Topics in Mathematics
    • Class Descriptions
      • Current/Upcoming Courses
    • About Me
      • LinkedIn Profile
    • Learning Pods/1-1 Classes
    • Problem Column
    • Blank
Sega Math Academy
  • Home
  • Winter/Spring 2023
    • Plane Geometry
    • AMC 8/Mathcounts
    • Beginning AMC 10/12
    • AIME
    • Modular Arithmetic
    • Calculus BC
    • Trigonometry
    • FREE Middle Math Festival
    • High School Math Festival
    • Topics in Mathematics
  • Class Descriptions
    • Current/Upcoming Courses
  • About Me
    • LinkedIn Profile
  • Learning Pods/1-1 Classes
  • Problem Column
  • Blank

Topics in Mathematics

WHEN: September 19, 2020 - January 23, 2021 (online)

This class meets once every two weeks for one hour each time. Tentative schedule: Saturdays, 4:30 - 5:30 pm Pacific Standard Time. All sessions are recorded and available for playback and download immediately after class. 

TOPICS

  • Mathematical Induction
  • Functional Equations
  • The Floor Function
  • Periodic Functions
  • Sums and Products
  • The Pigeonhole Principle
  • Stewart's Theorem and Applications
  • Inradii
  • Ptolemy's Theorem
  • Trigonometric Identities

TEXTBOOKS AND PREREQUISITES

  • Instructor's notes (no textbooks are required)
  • Prerequisites: interest in higher mathematics


Supplemental reading material:

  • Arthur Engel, Problem-Solving Strategies

IMPORTANT

The class is not designed to be a comprehensive treatment, but rather an expository introduction into each of the chosen topics. Carefully selected problems from various math competitions and olympiads will be discussed in class, and occasional homework will be given.

DEADLINE TO SIGN-UP: Saturday, September 5, 2020

Please consider signing-up on or before Saturday, September 5, 2020 to guarantee your spot in the class. 

TUITION: $500

We accept personal checks or electronic payments through Paypal or Zelle.

We offer a 50% discount for siblings enrolled in this class.


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