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MAC2233 Calculus for Business, Social and Life Sciences – Syllabus and Study Guide

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Introduction to Functions

Properties of Functions

Common Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Introduction to Limits

Continuity

Tangent Lines and Derivatives

Basic Rules of Differentiation

Derivatives of Exponential & Logarithmic Functions

Product and Quotient Rules

The Chain Rule

Higher Order Derivatives

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Intro to Extrema

Finding Global Extrema

Applied Optimization

Antiderivatives

Indefinite Integrals

Substitution for Indefinite Integrals

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Average Value of a Function

Substitution for Definite Integrals

Integrals of Exponential Functions

Integrals Involving Logarithmic Functions

Area Between Curves