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Calculus I (MATH 1610) – Course Overview and Study Guide

Study Guide - Learn with Videos

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Introduction to Functions

Properties of Functions

Common Functions

Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Basic Rules of Differentiation

Product and Quotient Rules

The Chain Rule

Derivatives of Trig Functions

Intro to Extrema

The First Derivative Test

Concavity

The Second Derivative Test

Curve Sketching

Applied Optimization

Antiderivatives

Indefinite Integrals

Estimating Area with Finite Sums

Riemann Sums

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Substitution