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Explorations in Calculus--Coming Soon
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Contents under Development
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Preliminary Concepts
- Domain and Range of Functions
- Important Functions and Transformations
Limits and Continuity
- Exploring the Formal Definition of Limits
- Limits at Infinity
- The Role of a Parameter--Continuity of Piecewise Functions
Rates of Change and the Derivative
- Rates of Change
- Secant and Tangent Lines
- The Role of a Parameter--Differentiability of Piecewise Functions
- Related Rates
- Linear Approximations
Applications of the Derivative
- Optimization
Integrals and Applications
- The Area Problem
- The Definite Integral--Some Geometric Ideas
- Areas Between Curves
- Volumes of Solids
- The Section Method
- The Method of Washers
- The Method of Shells