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CourseIntroductory CoursesIntroductory6 weeks

Intro to Number Theory 2

This introductory live course continues the number theory sequence through modular arithmetic, inverses, the Chinese Remainder Theorem, Fermat's Little Theorem, Euler's theorem, and number bases.

Track

Introductory Courses

Level

Introductory

Duration

6 weeks

Target:AMC 10AMC 12IOQMEarly AIMEJEE AdvancedISI Paper 1Purple Comet High School

Detailed Syllabus

Modular Arithmetic

  1. Modular Arithmetic Basics
  2. Modular Arithmetic Practice
  3. Inverse
  4. Chinese Remainder Theorem (CRT)
  5. CRT Practice
  6. Mixed Practice Problems 1

Fermat, Euler and Bases

  1. Fermat’s Little Theorem
  2. The phi function and Euler's Theorem
  3. Euler's Theorem Practice
  4. Number Bases Basics
  5. Number Bases Practice
  6. Mixed Practice Problems 2
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