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Applied Calculus: Syllabus and Course Structure Study Notes

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Introduction to Limits

Continuity

Tangent Lines and Derivatives

Basic Rules of Differentiation

Product and Quotient Rules

The Chain Rule

Implicit Differentiation

Intro to Extrema

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Applied Optimization

Indefinite Integrals

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Substitution

Estimating Area with Finite Sums

Riemann Sums

Introduction to Volume & Disk Method

Work