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MAT 112 Calculus I: Course Outline 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

Implicit Differentiation

Derivatives of Exponential & Logarithmic Functions

Logarithmic Differentiation

The Chain Rule

Intro to Extrema

Finding Global Extrema

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Antiderivatives

Indefinite Integrals

Substitution

Estimating Area with Finite Sums

Riemann Sums

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Area Between Curves