This 24-minute video lesson provides an introduction to the unit step function and its Laplace Transform. [Differential Equations playlist: Lesson 38 of 45]
This 10-minute video lesson shows the Laplace Transform of t^n: L{t^n}. [Differential Equations playlist: Lesson 37 of 45]
This 11-minute video lesson shows how to use the Laplace Transform to solve an equation we already knew how to solve. [Differential Equations playlist: Lesson 32 of 45]
This 11-minute video lesson provides a grab bag of things to know about the Laplace Transform. [Differential Equations playlist: Lesson 34 of 45]
This 9-minute video lesson gives an example of using initial conditions to solve a repeated-roots differential equation .[Differential Equations playlist: Lesson 21 of 45]
This 12-minute video lesson looks at what happens when the characteristic equation only has one repeated root. [Differential Equations playlist: Lesson 20 of 45]
This 12-minute video lesson introduces separable differential equations. [Differential Equations playlist: Lesson 2 of 45]
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]
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
Dimension of the Column Space or Rank. Created by Sal Khan.
Dimension of the Null Space or Nullity. Created by Sal Khan.
This task does not actually require that the student solve the system but that they recognize the pairs of linear equations in two variables that would be used to solve the system. This is an important step in the process of solving systems.
This purpose of this task is to help students see two different ways to look at percentages both as a decrease and an increase of an original amount. In addition, students have to turn a verbal description of several operations into mathematical symbols.
In this seminar you will further your work with polynomials, by learning how to divide them. You will identify which strategy is best for each type of polynomial and you will be able to identify the number of real solutions each polynomial will have. You will also be able to use this process in real world situations.StandardsCCSI: HS: Algebra: HSA-SSE.A. Interpret the structure of expressions.CCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.