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MATH130W1 Calculus Syllabus and Core Topics Study Guide

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Introduction to Functions

Piecewise Functions

Properties of Functions

Transformations

Combining Functions

Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Derivatives as Functions

Basic Rules of Differentiation

Derivatives of Trig Functions

The Chain Rule

Implicit Differentiation

Related Rates

Linearization

Differentials

Logarithmic Differentiation

Derivatives of Inverse Trigonometric Functions

Antiderivatives