Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. Generalizes the expansion of sine using sigma notation and relates it to the expansion for cosine. [9:24]

Video defining radians. Examples shown for converting radians to degrees and vice versa. [9:55]

This video demonstrates how to solve word problems related to a person's age by setting up and solving equations based on the information given in the problem. There are two sample word problems. [9:57]

Video expands the examples of linearly independent and linearly dependent vectors shown in the previous video to give a formal definition of linearly dependent vectors. Shows a proof of the definition and then gives an example of using...

Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...

Demonstrates how to subtract polynomials when there are multiple variables in each polynomial. [2:10]

This video explains how to convert between units of speed. Practice problems are available. [9:56]

This video demonstrates how to graph an inequality with two variables and check your graph by substituting ordered pairs back into the inequality. Practice problems available. [5:20]

Explanation of the Koch Snowflake and why it has an infinite perimeter but a finite area. [9:11]

A video lesson proving that the projection of a vector is actually the closest vector in the subspace to the original vector. [9:05]

Video deriving the triple product expansion by expanding the cross product of 3 vectors and then simplifying it to the difference of dot products. [14:25]

Video shows how to use polynomial multiplication to find the volume of a cylinder of given dimensions. The problem requires multiplying a binomial and a trinomial. [4:19]

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...

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.

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

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...