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CourseIntroductory CoursesIntroductory10.5 weeks

Intro to Algebra 1

This introductory live course builds algebraic fluency through algebraic manipulations, polynomials, quadratics, functions, and contest-style mixed practice.

Track

Introductory Courses

Level

Introductory

Duration

10.5 weeks

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

Detailed Syllabus

Algebraic Manipulations

  1. Basic Formulae
  2. Further Factorization Technique
  3. Symmetry and Substitution
  4. Quadratic Formula and Square Root Function

Polynomials 1

  1. Intro to Polynomials
  2. Division Algorithm, Remainder and Factor Theorem
  3. Short Note on Complex Numbers
  4. Fundamental Theorem of Algebra
  5. Identity Principle and Vieta’s
  6. Vieta’s continued

Quadratics

  1. Basics of Quadratics
  2. Irrational Equations and Substitution
  3. Quadratic as a Function
  4. Range of Rational Functions
  5. Rational Inequalities

Functions 1

  1. Concept of Function, Domain, Range
  2. Modulus Function
  3. Floor Function
  4. Exponential and Logarithm
  5. Logarithm Continued
  6. Mixed Practice Problems
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