This 14-minute video lesson explains how the product of the transforms of two functions relates to their convolution. [Differential Equations playlist: Lesson 44 of 45]
This 10-minute video lesson looks at using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. [Differential Equations playlist: Lesson 22 of 45]
This 11-minute video lesson gives another example using undetermined coefficients. [Differential Equations playlist: Lesson 23 of 45]
This 8-minute video lesson gives another example where the nonhomogeneous part is a polynomial. [Differential Equations playlist: Lesson 24 of 45]
This 6-minute video lesson concludes the series on undetermined coefficients by putting it all together. [Differential Equations playlist: Lesson 25 of 45]
This 12-minute video lesson shows how to use the convolution Theorem to solve an initial value problem. [Differential Equations playlist: Lesson 45 of 45]
This 19-minute video lesson shows how to solve a non-homogeneous differential equation using the Laplace Transform. [Differential Equations playlist: Lesson 35 of 45]
Learn about how particles move from an area of greater concentration to an area of lesser concentration through the process of diffusion.
Learn about diffusion, osmosis, and concentration gradients and why these are important to cells. Created by Sal Khan.
Feedback and notes.
Dimension of the Column Space or Rank. Created by Sal Khan.
Dimension of the Null Space or Nullity. Created by Sal Khan.
Discretionary and mandatory outlays of the US federal government.
Using Title IX as an example of how the federal bureaucracy has rule making and discretionary authority as it implements laws.
An overview of what happens when the conditions for Hardy-Weinberg equilibrium are not fulfilled. Created by Sal Khan.
Using a one-dimensional number line to visualize and calculate distance and displacement. Created by Sal Khan.
An introduction to the difference between distance traveled and displacement. Created by Sal Khan.
Relating angular displacement to distance traveled (or arc length) for a ball traveling in a circle. Derivation of formula for arc length.
What is the best way to distribute our points?
Divided government and gridlock in the United States.