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MATH 101 Calculus of One Variable: Syllabus and Course Structure

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Introduction to Functions

Common Functions

Combining Functions

Introduction to Limits

Finding Limits Algebraically

Continuity

Tangent Lines and Derivatives

Derivatives as Functions

Basic Rules of Differentiation

Derivatives of Trig Functions

The Chain Rule

Implicit Differentiation

Related Rates

Linearization

Antiderivatives

Indefinite Integrals

Substitution

Integration by Parts

Integrals of Trig Functions

Partial Fractions

Improper Integrals

Introduction to Definite Integrals

Fundamental Theorem of Calculus

Area Between Curves

Introduction to Volume & Disk Method