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
Tools
Glossary of Notations
Index