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Numbers, Functions, and Foundations of Calculus

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Introduction to Functions

Piecewise Functions

Properties of Functions

Common Functions

Transformations

Combining Functions

Introduction to Limits

Finding Limits Algebraically

Continuity

Derivatives as Functions

Basic Rules of Differentiation

Product and Quotient Rules

The Chain Rule

Derivatives of Trig Functions

Tangent Lines and Derivatives

Applied Optimization

Riemann Sums