Precalculus

Explore the foundations of advanced mathematics

Chapter 1: Functions and Their Graphs

  • Linear Functions
  • Quadratic Functions
  • Polynomial Functions
  • Rational Functions
Chapter Review

Chapter 2: Polynomial and Rational Functions

  • Polynomial Functions
  • Rational Functions
  • Polynomial and Rational Inequalities
Chapter Review

Chapter 3: Exponential and Logarithmic Functions

  • Exponential Functions
  • Logarithmic Functions
  • Exponential and Logarithmic Equations
Chapter Review

Chapter 4: Trigonometric Functions

  • Angles and Radian Measure
  • Trigonometric Functions
  • Graphs of Trigonometric Functions
Chapter Review

Chapter 5: Analytic Trigonometry

  • Trigonometric Identities
  • Trigonometric Equations
  • Inverse Trigonometric Functions
Chapter Review

Chapter 6: Additional Topics in Trigonometry

  • Law of Sines
  • Law of Cosines
  • Vectors
Chapter Review

Chapter 7: Systems of Equations and Inequalities

  • Systems of Linear Equations
  • Systems of Nonlinear Equations
  • Systems of Inequalities
Chapter Review

Chapter 8: Matrices and Determinants

  • Matrix Operations
  • Determinants
  • Solving Systems with Matrices
Chapter Review

Chapter 9: Sequences, Series, and Probability

  • Sequences and Series
  • Mathematical Induction
  • Probability
Chapter Review

Chapter 10: Topics in Analytic Geometry

  • The Ellipse
  • The Hyperbola
  • The Parabola
Chapter Review

Chapter 11: Limits and Continuity

  • Introduction to Limits
  • Techniques for Evaluating Limits
  • Continuity
Chapter Review

Chapter 12: Introduction to Calculus

  • The Derivative
  • Basic Differentiation Rules
  • Applications of Derivatives
Chapter Review