Khan Academy
Khan Academy: Linear Algebra: Projection Onto a Subspace Is a Lin Transformation
A video lesson proving that any projection onto a subspace is actually a linear transformation. Also, if given the basis for the subspace then the specific transformation matrix for the projection can be found. Includes a brief...
Khan Academy
Khan Academy: Algebra: Compound Inequalities 3
Video demonstrates step-by-step how to solve and graph a compound inequality through two different approaches. Practice problems available. [4:28]
Khan Academy
Khan Academy: Algebra: Complex Numbers: Multiplying Complex Numbers
Video shows an example of multiplying complex numbers. [5:32]
Khan Academy
Khan Academy: Algebra: Simplifying Cube Roots
Video simplifying the cube root of an algebraic expression by identifying perfect cubes. [5:24]
Khan Academy
Khan Academy: Geometry: Equilateral Triangle Sides and Angles Congruent
In this video tutorial [6:29], the instructor models a proof so show that if the sides of an equilateral triangle are congruent, then all the angles are congruent and vice versa. The instructor uses the knowledge of congruent legs and...
Khan Academy
Khan Academy: Linear Algebra: Unique Row Space Solution to Ax = B
A video lesson proving that there is a unique solution in the row space of A to the equation Ax = b, where A is some m x n matrix, b is a vector that is a particular member of the column space of A, and x is a member of Rn. The solution...
Khan Academy
Khan Academy: Biology: Secondary Active Transport in the Nephron
A detailed account of what occurs inside the nephron, allowing ions to be transported out of the lumen. [14:13]
Khan Academy
Khan Academy: Algebra: Another Percent Word Problem
This video demonstrates how to solve a multi-step word problem that involves finding the price of an item when a percent discount is given. Practice problems available. [6:18]
Khan Academy
Khan Academy: Statistics: Small Sample Hypothesis Test
Video demonstrates using t-statistics to answer a question involving hypothesis testing with a small sample. Explains how to read a t-table and use it for a one-tailed test. [9:04]
Khan Academy
Khan Academy: Biology: Punnett Square Fun
Detailed examples of dihybrid crosses using a Punnett Square. [25:16]
Khan Academy
Khan Academy: Algebra: Scientific Notation 3 (New)
Video solving a rate problem where the numbers are in scientific notation and need to be multiplied. Includes conversion of units. [4:27]
Khan Academy
Khan Academy: Algebra: Finding Cube Roots
Video simplifying the cube root of a negative number using prime factorization. Includes link to additional practice at the top of the video. [4:18]
Khan Academy
Khan Academy: Algebra: Adding and Subtracting Polynomials 3
Demonstrates how to simplify an expression that involves both addition and subtraction of polynomials. [2:27]
Khan Academy
Khan Academy: Algebra: Linear Equations 2
A video that demonstrates how to solve equations of the form Ax + B = C. There are two sample problems that include integers and fractions. Practice problems available. [6:06]
Khan Academy
Khan Academy: Algebra: Natural Logarithm With a Calculator
Demonstrates how to use a calculator to evaluate the natural log of a number and briefly discusses e. [3:37]
Khan Academy
Khan Academy: Algebra: Solving Systems by Elimination 3
This video demonstrates how to solve and graph a given system of equations by eliminating a variable. [4:58]
Khan Academy
Khan Academy: Biology: Natural Selection and the Owl Butterfly
Used as a camoflauging mechanism, learn how the owl butterfly may have gotten its spots. [13:29]
Khan Academy
Khan Academy: Algebra: Simplifying Radical Expressions 1
Video simplifying the cube root of a negative number using prime factorization. [2:37]
Khan Academy
Khan Academy: Algebra: Conic Sections: Conic Identification 3
A continuation of the Khan Academy video lesson series on identifying conic sections. This segment goes through examples that cover identifying and graphing both a circle and a parabola. [11:34]
Khan Academy
Khan Academy: Biology: Variation in a Species
An explanation of genetic variations within a species. [19:51]
Khan Academy
Khan Academy: Algebra: Addition Elimination Method 4
This video demonstrates how to set up and solve a system of linear equations using the elimination method. [2:38]
Khan Academy
Khan Academy: Differential Equations: Laplace Transform 5
Video proves properties of the Laplace transform including showing it is a linear operator and showing the Laplace tranform of the derivative of a function. [11:36]
Khan Academy
Khan Academy: Linear Algebra: Introduction to the Inverse of a Function
Video first reviews what a function is. Explains what the identity function is and uses it to define what makes a function invertible. Shows that the inverse will be unique. This video also appears in the strand Algebra: Functions. [18:53]
Khan Academy
Khan Academy: Differential Equations: Laplace Transform to Solve an Equation 2
Video continues from the previous video to show how to use the Laplace transform to solve a differential equation. [10:46]