Calculus for Beginners and Artists
Chapter 1
Why Study Calculus?
Chapter 2
Numbers
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 Functions and Derivatives
Chapter 11
Modeling Applications to Physics
Chapter 12
More Modeling Applications
Chapter 13
Modeling Chemical Reactions and Predator Prey Situations
Chapter 14
Applications of Differentiation: Solving Equations
Chapter 15
Applications of Differentiation: Power Series
Chapter 16
The Antiderivative
Chapter 17
Areas and Volumes of Parallel Sided Figures
Chapter 18
Area under a Curve
Chapter 19
Numerical Integration
Chapter 20
Solving Differential Equations
Tools
Glossary of Notations
Index
Applets
Precalculus
Operations on Functions
Trigonometric Functions
Slope of a Line
Curves
Curves in Two Dimensions
Single Variable Calculus
Derivative and Tangent Line
Newton's Method
Numerical Integration
Differential Equations
First Order ODE
Second Order ODE
Complex Numbers
Complex Numbers
Applications
Series RLC Circuit
Flash Dialogs
Operations on Functions
Trigonometric Functions
Slope of a Line
Curves in Two Dimensions
Derivative and Tangent Line
Newton's Method
Numerical Integration
First Order ODE
Second Order ODE
Complex Numbers
Series RLC Circuit