MAT3211-ABED_1: Multimedia Library

Unit 1A: Precalculus

Videos

Domain and Range

Applets

Number Line

Skill Builder Videos

Translations
Stretches
Reflections
Combining Transformations
Transforming Specific Functions

Skill Builder Videos

How to Graph a Line
Completing the Square,

a = 1

Completing the Square,

a \neq 1

Videos

Applying Multiple Operations on Rational Expressions

Skill Builder Videos

Solving Inequalities using Sign Analysis

Unit 1B: Limits

Videos

The Definition of Limits and One-Sided Limits
Some Examples on Limits

Applets

Indeterminate
One-Sided Limit Tester

Videos

Absolute Value Functions and Piecewise Functions

Skill Builder Videos

Rationalizing a Binomial Denominator

Videos

Zeno’s Race Horse Paradox

Applets

Inscribed Polygon

Unit 2A: Derivatives Part 1

Videos

The History of Calculus
Limits, Secants, and Tangents

Applets

Secant Line Slope Calculator

Videos

Introduction to the Derivative
Graphs of

f (x)

,

f' (x)

, and Differentiability
Proving Non-Differentiability

Skill Builder Videos

Rationalizing a Binomial Denominator

Videos

Basic Rules of Differentiation

Videos

The Product and Quotient Rules

Unit 2B: Derivatives Part 2

Videos

Higher Order Derivatives

Videos

Implicit Differentiation – Introduction Examples Part 1
Implicit Differentiation – Introduction Examples Part 2

Videos

Rules of Differentiation – Practice Questions
Implicit Differentiation – Introduction Examples Part 3

Unit 3: Curve Sketching

Videos

Even and Odd Functions

Skill Builder Videos

Graphing Rational Functions
Polynomial Division

Videos

Critical Points and Intervals of Increase and Decrease

Applets

Where is a Derivative Positive?

Videos

Extrema Local and Absolute Maximums and Minimums

Applets

Where is a Derivative Zero

Videos

Concavity And Inflection Points
Examples of Curve Sketching

Skill Builder Videos

Exploring the Graphs of

f (x)

,

f' (x)

, and

f'' (x)

Applets

Where is a Second Derivative Positive?

Unit 4A: Trigonometry Part 1

Videos

45 ° - 45 ° - 90 °

Triangle

30 ° - 60 ° - 90 °

Triangle
Trigonometric Ratios

Skill Builder Videos

Angles and Points on the Unit Circle

Videos

Verifying Identities
Proving Identities

Videos

Graphing Sinusoidal Functions
Transforming Sinusoidal Functions

Applets

Sinusoidal Function Parameters

Unit 4B: Trigonometry Part 2

Videos

Continuity in Trigonometric Functions

Applets

Squeeze Theorem

Videos

Trigonometric Derivatives
The Chain Rule

Applets

Sine and Cosine Derivatives

Videos

Chain Rule Examples

Unit 5: Applications of Derivatives

Videos

Introduction to the Application of Derivatives
Steps to Solving Maximum and Minimum Problems
Steps to Solving Maximum and Minimum Problems Continued
More Maximum and Minimum Practice Questions

Videos

More Maximum and Minimum Problems – Part 1
More Maximum and Minimum Problems – Part 2

Skill Builder Videos

Quadratic Equation Word Problem

Applets

Minimum Distance

Videos

A Basic Idea and a Trigonometry Question

Videos

A Pythagoras Question
A Similar Triangles Question

Applets

Similar Triangles

Unit 6: Exponential and Logarithmic Functions

Videos

Derivatives of Exponential Functions

Applets

f' (x) = f (x)

applet

Videos

Graphs of Exponential and Logarithmic Functions

Videos

Derivatives of Logarithmic Functions
Derivatives of Exponential Functions

Skill Builder Videos

Rules of Logarithmic Functions
Curve Sketching

Unit 7A: Integrals Part 1

Videos

The Indefinite Integral and Anti-derivatives Part 1

Videos

The Indefinite Integral and Anti-derivatives Part 2
Integration by Substitution
Integration by Substitution – More Practice

Skill Builder Videos

Integration by Substitution – Even More Practice

Videos

Archimedes Area Approximation
The Rectangular Method for Area
The Fundamental Theorem of Calculus Part 1

The Fundamental Theorem of Calculus Part 2

Videos

The Definite Integral with Substitution
The Definite Integral and Area
Area Under a Curve

Skill Builder Videos

Polynomial Division

Videos

The Basic Idea
Choosing
More Examples
Repeated Use of Integration by Parts

Skill Builder Videos

Integration by Parts – An Interesting Trick

Videos

Integration by Partial Fractions
Another Example of Integrating by Partial Fractions

Skill Builder Videos

Yet Another Example of Integrating with Partial Fractions

Unit 7B: Integrals Part 2

Videos

Instantaneous and Average Rates of Change
Distance, Displacement, and Velocity
The Motion of a Particle

Videos

Displacement, Velocity, and Acceleration
Rectilinear Motion

Videos

Position, Velocity, and Acceleration with Integrals