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Calculus

Explore the world of calculus, from basic concepts to advanced applications.

Foundations

Understanding the foundations of calculus

Topics covered:

  • Why Study Calculus?
  • Numbers & Functions
  • Linear Functions
  • Using Spreadsheets

Derivatives

Introduction to derivatives and their applications

Topics covered:

  • Quadratics & Basic Derivatives
  • Rational Functions
  • Exponential Functions
  • Trigonometric Functions
  • Inverse Functions
  • Numerical Differentiation

Integration

Exploring the concepts and techniques of integration

Topics covered:

  • The Anti-Derivative
  • Area Under Curves
  • Numerical Integration
  • Areas and Volumes

Applications

Real-world applications of calculus concepts

Topics covered:

  • Physics Applications
  • Predator-Prey Models
  • Differential Equations
  • Pure Mathematics