Calculus for Beginners and Artists

Chapter 0: Why Study Calculus?

Chapter 1: Numbers

Chapter 2: Using a Spreadsheet

Chapter 3: Linear Functions

Chapter 4: Quadratics and Derivatives of Functions

Chapter 5: Rational Functions and the Calculation of Derivatives

Chapter 6: Exponential Functions, Substitution and the Chain Rule

Chapter 7: Trigonometric Functions and their Derivatives

Chapter 8: Inverse Functions and their Derivatives

Chapter 9: Numerical Differentiation, and Non-Differentiable Functions

Chapter 10: Review of Differentiation

Chapter 11: Application of Differentiation to Solving Equations

Chapter 12: The Anti-Derivative

Chapter 13: Area under a Curve; Definite Integrals

Chapter 14: Numerical Integration

Chapter 15: Areas and Volumes of Parallel Sided Figures; Determinants

Chapter 16: Some Pure Mathematics

Chapter 17: Modeling Applications to Physics

Chapter 18: Predator Prey Models

Chapter 19: Solving Differential Equations


Glossary of Notations