Chapter 1: Limits and Continuity


1.1: Basic Idea of Limits

Video: Idea of Limits
Video: One-Sided Limits

Activity: Graphical Limits Using Limit Laws
Activity: Introduction to Graphical Limits
Activity: Limit Sentences Cards, Graphs, and User Guide (From University of Colorado)

Geogebra: Introduction to Limits Applet


1.2: computing limits

Video: Limit Laws
Video: Indeterminate Forms
Video: The Squeeze Theorem

Activity: Coming Soon

Geogebra: Limit Laws
Geogebra: Limits of Compositions of Functions


1.3: limits at infinity

Video: Limits at Infinity

Activity: Coming Soon

Geogebra: Limits at Infinity and Infinite Limits


1.4: Formal Definition of Limits

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1.5: Continuity

Video: Continuous Functions
Video: Discontinuous Functions

Activity: Coming Soon

Geogebra: Continuity


Chapter 2: Derivatives


2.1: Formal Definition of a Derivative


2.2: Basic Derivative Formulas


2.3: The Derivative as a Function


2.4: Product and quotient rules


2.5: The Chain Rule

Video: Chain Rule for Derivatives

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Geogebra: Coming Soon


2.6: Derivative of Inverse Functions

Video: Derivatives of Inverse Trig Functions
Video: Derivatives of Logarithms

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Geogebra: Coming Soon


2.7: Implicit Differentiation 

Video: Implicit Differentiation

Activity: Coming Soon

Geogebra: Coming Soon


2.8: Logarithmic Differentiation

Video: Logarithmic Differentiation

Activity: Coming Soon

Geogebra: Coming Soon


2.9: Higher Order Derivatives

Video: Second Derivatives

Activity: Coming Soon

Geogebra: Second Derivative and Concavity


Chapter 3: Applications of the Derivative


3.1: Linear Approximation

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3.2: Related Rates

Video: Related Rates

Activity: Coming Soon

Geogebra: Coming Soon


3.3: Mean Value Theorem

Video: Rolle's Theorem and the Mean Value Theorem

Activity: Coming Soon

Geogebra: Coming Soon


3.4: L'Hopital's Rule

Video: L'Hoptial's Rule
Video: Other Indeterminates

Activity: Coming Soon

Geogebra: Coming Soon

 


3.5: Newton's Method

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3.6: Extrema

Video: Local and Global Extrema
Video: First Derivative Test
Video: Second Derivative Test

Activity: Coming Soon

Geogebra: Coming Soon


3.7: Curve Sketching

Video: Curve Sketching

Activity: Coming Soon

Geogebra: Coming Soon


3.8: Optimization

Video: Optimization

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Geogebra: Coming Soon


Chapter 4: Integration


4.1: Net Change

Video: Sigma Notation
Video: Riemann Sums Part 1

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Geogebra: Coming Soon


4.2: Riemann Sums

Video: Riemann Sums Part 2
Video: Area and Riemann Sums

Activity: Coming Soon

Geogebra: Coming Soon


4.3: The Fundamental Theorem of Calculus

Video: Antiderivaties
Video: Fundamental Theorem of Calculus Part 1
Video: Fundamental Theorem of Calculus Part 2

Activity: Coming Soon

Geogebra: Coming Soon


4.4: Properties of Integrals

Video: Even and Odd Functions
Video: Average Value of a Function

Activity: Coming Soon

Geogebra: Coming Soon