Khan Academy
Khan Academy: Linear Algebra:defining a Plane in R3 With Point and Normal Vector
Video shows how to define a plane in R3 using a point on the plane and a normal vector to the plane. Includes a visual representation to help understanding. [13:53]
Khan Academy
Khan Academy: Linear Algebra: Visualizing a Column Space as a Plane in R3
Video reviews how to find a basis for the column space and talks about how to find it more efficiently using reduced row echelon form. Shows a visualization of the column space in R3 as a plane. Shows two methods to determine the...
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Khan Academy: Economics: Fica Tax
Did you know that when you are offered a particular salary your employer is actually setting aside that amount plus more? A video presentation regarding the Federal Insurance Contributions Act (FICA) and how both you and your employer...
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Khan Academy: Algebra: Polynomial Divided by Monomial
Video demonstrates how to divide a polynomial by a monomial. Example problem is solved first as division problem and then using multiplication by a fraction. [4:44]
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Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Illustrates that when a matrix equation is built with a singular matrix, then there are no solutions because the system it represents is that of two parallel lines. Shows...
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Khan Academy: Differential Equations: Exact Equations Example 2
Video shows an example of determining if a differential equation is exact and how to solve it. Also shows an example which is not exact. [8:01]
Khan Academy
Khan Academy: Algebra: Inequalities Using Addition and Subtraction
Video shows how to solve and graph inequalities using subtraction or addition. Practice problems available. This video is also found in the strand Algebra: ck12.org. [7:48]
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Khan Academy: Linear Algebra: Coordinates With Respect to a Basis
A video lesson showing that vectors in space can be defined by coordinates with respect to a basis. A concrete example is given for a vector in R2. Shows how the vector is defined in traditional Cartesian coordinates and then how it can...
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Khan Academy: Linear Algebra: Visualizing a Projection Onto a Plane
A video lesson showing what a projection onto a plane could look like. Illustrates that the newly derived definition of a projection holds true for projections onto subspaces other than lines. [9:27]
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Khan Academy: Biology: Helper T Cells
A detailed introduction to helper T cells and their function. [20:33]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Identity Property of 0
This video explains the identity property of zero by substituting values into an expression. Practice problems are available. [4:46]
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Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 3
Video continues from previous video where a general solution to a secondnd order linear homogeneous differential equation was found. Extends showing how to use initial conditions to find a particular solution. [5:59]
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Khan Academy: Algebra: Relations and Functions
Video giving an overview of domain, range, relations, and function using mappings. Determines whether a specific set of ordered pairs is a function. [6:57]
Khan Academy
Khan Academy: Algebra: The Substitution Method
This video demonstrates how to solve a given system of equations by using substitution. [4:39]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Understanding Proportions
This video showing how to determine if a given proportion is true or false. Practice problems are available. [1:25]
Khan Academy
Khan Academy: Algebra: Understanding Proportions
Short video explaining how to understand proportions. This video also appears in the strand Arithmetic and Pre-Algebra: Ratios and Proportions. [1:25]
Khan Academy
Khan Academy: Algebra: Substitution Method 3
This video demonstrates how to solve a word problem by setting up and solving a system of equations. Uses the substitution method. [5:58]
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Khan Academy: Linear Algebra: Distance Between Planes
Video solving a IIT-JEE problem about the distances between two planes. Solution requires finding the equation of one of the planes by first finding points that lie on that plane, using those to find two vectors on the plane and then...
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Khan Academy: Differential Equations: Undetermined Coefficients 4
Video first shows how more difficult differential equations can be broken down into pieces by finding the particular solutions for each piece and the solution for the homogeneous equation and using their sum for the solution of the...
Khan Academy
Khan Academy: Geometry: Ca Geometry: Pythagorean Theorem, Area
Demonstrates solutions to problems #36-40 of California Geometry released state test questions. Problems address understanding of area and knowledge of the area formulas for trapezoids, squares, parallelograms, and triangles. [10:44]
Khan Academy
Khan Academy: Geometry: Area of Koch Snowflake (Part 2) Advanced
Explains how to find the area of a Koch snowflake which is represented by an infinite geometric series. Continuation of previous video "Area of Koch Snowflake (part 1) - Advanced" [6:32]
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Khan Academy: Geometry: Triangle Medians and Centroids (2 D Proof)
This video tutorial [15:15] provides a two-dimensional proof that the centroid is located two-thirds the way along every median of a triangle. This is a follow up to the proof in three-dimensions provided in the video, "Triangle Median...
Khan Academy
Khan Academy: Pre Calculus: Proof: Lim (Sin X)/x
Video utilizing the Squeeze Theorem to prove that the limit as x approaches 0 of (sin x)/x is equal to 1. Incorporates trigonometry and the unit circle. Illustrates the result graphically on a virtual graphing calculator. This video is...
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #3 (C)
Video shows how to use the disk method to write an integral representing the volume of the solid generated by rotating two intersecting functions around a line. [6:39]