Massachusetts Institute of Technology
Mit: Open Course Ware: Highlights for High School: Highlights of Calculus
Students learn about the basics of calculus through a series of short videos. The videos are split into three sections including an introduction, the highlights of calculus, and derivatives.
PBS
Nova: Newton's Dark Secrets
The genius of Newton is detailed in this video by NOVA. Articles, interviews, and translations of his work are posted here. [52:32]
Bozeman Science
Bozeman Science: Vector Field
Paul Andersen explains how a vector field shows the distribution of vector quantities. [7:47]
Khan Academy
Khan Academy: Intro to Differential Equations: Simple Differential Equations
In this video lesson students are provided an introduction to differential equations by exploring 3 basic differential equations that can be solved by taking the antiderivatives of both sides.
Crash Course
Crash Course Physics #2: Derivatives
Let the host from Crash Course Physics talk through derivatives and how calculus helps people understand the world around them. [10:01]
Khan Academy
Khan Academy: 2011 Calculus Ab Free Response #1 Parts B C
Calculus AB example questions. Integration to find average value of a function. Using a graphing calculator to calculate definite integrals.
Khan Academy
Khan Academy: U Substitution: (2^Ln X)/x Antiderivative Example
This video tutorial provides an example of using u-substitution to find an indefinite integral.
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations Example 3
In this video lesson students explore an exact equation example.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #6 A
Continuity of piecewise-defined functions.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 B
Using the second derivative to judge whether an approximation with the tangent line is an overestimate or underestimate
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations
In this video lesson students explore the chain rule using partial derivatives.
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Integrating Factors 1
In this video lesson students learn about using an integrating factor to make a differential equation exact.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #4 C
Finding the points of inflection for a strangely defined function.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 A
Using a tangent line to extrapolate a function from a known initial condition.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #4 B
Absolute maximum over an interval. Critical points and differentiability.
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations Example 1
In this video lesson students explore solving an exact differential equation.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #1 A
Determining whether speed is increasing. Difference between speed and acceleration.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #5 C.
Solving a differential equation using separation of variables.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #6 B
Derivative of a piecewise-defined function.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #4 A
Taking derivatives and integrals of strangely defined functions.
Khan Academy
Khan Academy: Exact Equations and Integrating Factors: Exact Equations Example 2
In this video lesson students explore more exact equation examples.
Khan Academy
Khan Academy: 2011 Calculus Ab Free Response #3 (C)
Calculus AB example questions: Disk method to find the volume of a solid generated by rotation of a function.
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #4 D
Mean Value Theorem and differentiability.
Khan Academy
Khan Academy: Introduction to Derivatives: Calculus: Derivatives 2
In this lesson students gain more intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2.