Video showing how to paramatrize a torus using two parameters by first visually showing the parameters without using equations. [19:02]

First part of a two-part video series on calculating the surface integral of a surface that can be described as a function of x and y. Video shows parameterizing the surface. [5:10]

Video lesson solving a closed line integral by first showing that the vector field is conservative and then knowing based on the information in the previous video that the closed line integral is equal to zero. [11:02]

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

Part 2 of a 3-part video series showing how to calculate the surface integral of a torus. Video continues to find the surface area of the torus by calculating a cross product. [10:29]

Video lesson continuing the problem from the previous video on finding the surface area along a closed curve using line integrals. Two line integrals are set up and solved and added to the area found previously. [9:58]

Video revisits the 2-D divergence theorem to involve mass density and velocity and find the mass exiting the closed curve. [9:28]

Video introducing a derivative as the slope of a tangent line by reviewing the concept of the slope of a line and using that to find the slope of a secant line. Includes link to additional practice problems. [9:25]

Video explains the following brain teaser: One-hundred perfect logicians are blindfolded and each has their forehead painted blue. They all enter a room with the lights off, sit in a circle, and the lights are turned on. Each logician...

This is part 3 of a 3-part video series showing how to calculate the surface integral of a torus.

Video lesson solving the second part and the third part of a free response problem from the 2008 AP Calculus BC exam about people waiting in line to purchase tickets. Solution requires finding a trapezoidal sum and critical points. [10:42]

Video first gives the conditions that define a linear transformation. Gives examples of determining if a transformation is linear or not. Shows several types of notation for vector transformations. [13:52]

This video shows how to add and subtract fractions with like and unlike denominators. Practice problems are available. [9:49]

This video explains how to find the value of a number written in exponential notation. Practice problems are available. [1:15]

This video tutorial demonstrates solutions to problems #51-55 of the California Geometry released state test questions. Problems address proving and using the Pythagorean theorem and compass constructions. [12:35]

This video demonstrates how to write a linear equation in point-slope form, slope-intercept form, and standard form given two points on the line. [7:56]

Video explaining scientific notation and negative exponents and then writing an example of a very small number in scientific notation. [4:12]

Video first reviews what it means for a function to be invertible. Shows that if a function is invertible then there is a unique solution to f(x) = y. Also shows that if there is a unique solution to the equation f(x) = y for all y then...

Video starts with reviewing matrix notation. Defines multiplying a matrix by a vector and shows examples. Shows how the matrix-vector products can be interpreted as the dot product of column vectors with a matrix or as a weighted linear...

Video shows examples of how to simplify rational expressions. Includes writing restrictions for simplified expressions. [15:22]

Video demonstrates how to divide a trinomial by a binomial. [3:20]

Explains how to measure an angle in degrees using a protractor. Defines acute, right, and obtuse angles. Practice problems available. [8:22]

This video demonstrates how to solve linear equations in which the variable "x" is in the denominator. There are three different sample problems presented. Practice problems available. [7:39]

Video showing how to graph an exponential function by evaluating the function for chosen values of x and plotting the resulting points. [5:32]