Purpose

This page has collected YouTube videos which align with the concepts we discuss in Math 2104.

Limits

Concept

The Idea of a Limit

• Khan Academy
• Curiosity Culture

Examples

• Algebraic/Graphical Examples: Organic Chemistry Tutor
• Numeric/Algebraic Example: Daniel An
• Graphical Example: Daniel An
• Numeric Example: Daniel An
• Numeric Example: Daniel An
• One-sided Limits: Khan Academy
• One-sided Limits: Khan Academy
• One-sided Limits: Patrick J
• Using Limit Laws: Krista King
• Limits at Infinity: Krista King
• Infinite Limits: Krista King

  Continuity

Concept

Intuition for Continuity:

• Khan Academy
• Eddie Woo

Using the Definition Examples

• Definition and Piecewise Function Examples: Organic Chemistry Tutor
• Definition and Examples: Professor Leonard

Discontinuities Examples

• Types of Discontinuities: Organic Chemistry Tutor
• Removable and Non-Removable Discontinuities: Brian McLogan

The Derivative

Concept

Where the Definitions Come From:

• Derek Owens
• MySecretMathTutor
• Khan Academy
• NancyPi

Interpretation Examples

• Two Examples with Sentences: Khan Academy
• Another Example with Sentences: Online EdVantage

Computational Examples

• Slope of a Function at a Point: Derek Owens, Derek Owens
• Using the Definition: Derek Owens
• Finding the Equation of a Tangent Line: Cory Sheeley, Cory Sheeley
• Using the Definition: Organic Chemistry Tutor

Derivative Rules

Basic Rules Examples

• Power Rule: Patrick J, David Friday
• Sum/Difference, Constant Rules: David Friday
• Constant Rule: Organic Chemistry Tutor
• Trigonometric Functions: Organic Chemistry Tutor

Product/Quotient Rule Examples

• Product Rule: Organic Chemistry Tutor, Khan Academy

Chain Rule Examples

• Examples with Exponentials: Organic Chemistry Tutor, Khan Academy
• Example with Logs: Khan Academy

Implicit Differentiation

Concept

Computational Examples

Related Rates

Computational Examples

Extrema on Closed Intervals

Concept

Computational Examples

Local Extrema

Concept

Finding Critical Points Examples

Classifying Critical Points Examples

Optimization

Concept

Computational Examples

L’Hopital’s Rule

Concept

Computational Examples

Antiderivatives/Indefinite Integrals

Concept

Basic Rules Examples

Finding Specific Antiderivative Examples

Definite Integrals

Concept

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Approximating Definite Integrals with Riemann Sums Examples

Computing Definite Integrals Using Areas Examples

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