Video first reviews properties of the Laplace transform that were shown in previous videos as well as Laplace transform table values that have been shown in previous videos. Then uses the properties and inverse Laplace transforms to find...

Video showing how to determine the probability that the population mean is between two given values when given the mean and standard deviation of a sample. Uses sampling distribution and calculates a z-score in order to determine the...

This video demonstrates the inverse property of addition. Practice problems are available. [2:59]

Video explaining two properties of transpose matrices: that the transpose of the sum of two matrices is equivalent to the sum of the transpose of each matrix and that the inverse of the transpose of a matrix is equivalent to the...

A step-by-step breakdown to solve a rational equations and find the excluded values. [4:16]

Video shows that the transformation matrix of the composition of linear functions is the product of the transformation matrices of each linear transformation in the composition. [16:30]

This video tutorial [12:55] demonstrates solutions to problems #10-14 of California Geometry released state test questions. Problems address understanding of counterexamples, properties of quadrilateral diagonals, and similar triangles.

An instructional video describing complex conjugates. Complex conjugates are defined and then used to simplify a problem in which a complex number is divided by another complex number. [8:03]

A video lesson showing the algebraic relationship between the equation of an arbitrary hyperbola and its arbitrary tangent line. [10:04]

A detailed explanation of how a neuron transmits information from a dendrite to an exon. [13:53]

Video creating a basis out of n linearly independent eigenvectors. Reviews transformations and change of basis matrices. Shows that when the eigenbasis is used as an alternate coordinate system, the transformation is a diagonal matrix...

Video lesson showing how to solve for the antiderivative of (2^ln x)/x by using u-substitution. [8:40]

Video shows how to use the Taylor series of a function which was found in the previous video to find the sixth derivative of the function at 0. [2:58]

Video explaining how to solve a brain teaser involving five people. Four of the people are togglers--they alternate between lying and telling the truth--and the fifth person always tells the truth. The goal of the teaser is to figure out...

Video starting to derive Green's theorem by showing that the closed line integral in a vector field with vectors only in the x-direction is equal to the negative double integral over the region contained within the closed curve of the...

Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. [6:33]

Video shows how to use the disk method to find the volume of a solid of rotation. Also shows how to use the chain rule to find the rate of change of the volume as the length of the solid changes. [8:26]

Video lesson solving a line integral of a vector field by showing that the vector field is conservative and using the idea of path independence to solve the integral. [10:18]

Video shows how to calculate the Lagrange error bound for a Taylor series polynomial approximation. [11:52]

Video lesson using the polynomial approximations for the sine, cosine and exponential functions from Maclaurin series to derive Euler's formula and Euler's identity. [11:27]

Video demonstrating the derivative of the functions y = x^x and y = x^(x^x) using natural logarithms and implicit differentiation. [9:02]

Video using the information about unit normal vectors to represent the surface integral for finding flux through a surface in two dimensions in a different way. The video also uses partial derivatives and the second definition of the...

Video shows how to find the first four nonzero terms of a Taylor series of cos x. Also shows how to combine Taylor series for parts of a function to create a Taylor series for the entire function. [9:59]

Video lesson solving the fourth part of a free response problem from the 2008 AP Calculus BC exam about people waiting in line to purchase tickets. Solution involves finding a definite integral using a graphing calculator. [4:28]