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Business Calculus: Course Overview, Competencies, and Key Topics

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Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Basic Rules of Differentiation

Product and Quotient Rules

The Chain Rule

Higher Order Derivatives

Exponential Functions

Logarithmic Functions

Derivatives of Exponential & Logarithmic Functions

Implicit Differentiation

Related Rates

Intro to Extrema

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Finding Global Extrema

Applied Optimization

Differentials

Antiderivatives

Indefinite Integrals

Introduction to Definite Integrals

Substitution for Indefinite Integrals

Area Between Curves