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Syllabus and Course Guide: Calculus for Business and Social Sciences (MAC 2233)

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Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Derivatives as Functions

Basic Rules of Differentiation

Higher Order Derivatives

Product and Quotient Rules

The Chain Rule

Derivatives of Exponential & Logarithmic Functions

Exponential & Logarithmic Equations

Exponential Functions

Logarithmic Functions

Intro to Extrema

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Finding Global Extrema

Applied Optimization

Antiderivatives

Indefinite Integrals

Estimating Area with Finite Sums

Riemann Sums

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Average Value of a Function

Substitution for Indefinite Integrals

Substitution for Definite Integrals

Area Between Curves

Introduction to Volume & Disk Method