Khan Academy
Khan Academy: Differential Equations: Laplace Transform of Dirac Delta Function
Video first reviews what the Dirac delta function is, then shows how to determine the Laplace transform of the product of the Dirac delta function and another function. [12:13]
Khan Academy
Khan Academy: Algebra: Solving Quadratic Equations by Factoring 3
Explains how to solve a word problem that involves finding the dimensions of a box given the volume and the height of the box. The solution requires solving a quadratic equation (by factoring) to find the length and width of the box. [5:54]
Khan Academy
Khan Academy: Algebra: Simply a Polynomial
Explains what like terms are and demonstrates how to simplify a polynomial. [3:37]
Khan Academy
Khan Academy: Linear Algebra: Determinant When Row Is Added
A video lesson explaining the determinant rule for the very special case when three matrices are identical except for one row, and that row of the third matrix is the sum of those rows in the other two matrices. Proves that the...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Ordering Negative Numbers
This video shows ordering of negative numbers by relating them to their positions on a number line. Practice problems are available. [2:47]
Khan Academy
Khan Academy: Linear Algebra: Upper Triangular Determinant
A video lesson proving that the determinant of an upper triangular matrix is the product of the all of the entries along the main diagonal. Includes a concrete example. [8:07]
Khan Academy
Khan Academy: Biology: Oxidative Phosphorylation and Chemiosmosis
An overview of chemiosmosis and oxidative phosphorylation. [4:59]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Dividing a Decimal by a Power of 10
This video shows how to divide a decimal by a power of ten. Practice problems are available. [3:18]
Khan Academy
Khan Academy: Algebra: Solving Systems by Substitution 2
This video demonstrates how to solve a system of linear equations by substitution. Example problem is of two equations in two variables. [4:06]
Khan Academy
Khan Academy: Algebra: Proof by Induction
Video introducing inductive proofs and then showing how to use induction to prove the formula for the sum of all integers up to and including n. [9:23]
Khan Academy
Khan Academy: Linear Algebra: Projections Onto Subspaces With Orthonormal Bases
Video giving another reason why orthonormal bases are useful. First reviews how to find the projection of a vector onto a subspace and then describes how an orthonormal basis can be used to find the projection. Simplifies the...
Khan Academy
Khan Academy: Chemistry: States of Matter Follow Up
Ever wondered how lightning forms or what stars are composed of? These answers can be found in this video lecture about the fourth state of matter, plasma. This video lecture is a follow-up to a states of matter and bonding lectures....
Khan Academy
Khan Academy: Linear Algebra:sums and Scalar Multiples of Linear Transformations
Video first defines the sum of transformations. Shows that the sum of two transformations is equal to the sum of their transformation matrices. Defines scalar multiples of linear transformations and shows that they are equal to the...
Khan Academy
Khan Academy: Geometry: Euclid as the Father of Geometry
Introduction to Euclid, Euclid's Elements, and Euclidean geometry. [8:23]
Khan Academy
Khan Academy: Algebra: Independent and Dependent Systems
This video demonstrates what it means to be a dependent or independent system of linear equations. It also shows how to determine if a given system is dependent or independent. [5:10]
Khan Academy
Khan Academy: Statistics: Second Regression Example
Video demonstrates how to calculate the equation of the regression line from a set of 4 points. Leads up to determining the coefficient of determination or r-squared which is shown in the next video. [9:15]
Khan Academy
Khan Academy: Linear Algebra: (Correction) Scalar Multiplication of Row
A brief video correcting a notational mistake that was made in the previous video on how scalar multiplication affects the determinant. The formula in the previous video shows the entries being multiplied by the sub-matrices, when really...
Khan Academy
Khan Academy: Algebra: Solving Systems of Equations by Multiplication
This video demonstrates more examples of how to solve systems of equations by elimination. The examples in this video require that one or both equations be scaled in order to eliminate a variable. [12:00]
Khan Academy
Khan Academy: Linear Algebra: Matrix Product Examples
Video shows example of multiplying matrices. Includes explanation of the dimensions needed in order for matrices to be able to be multiplied. Connects to the composition of linear transformations. This video also appears in the strand...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Growing by a Percentage
This video shows how to calculate the total amount after a number has grown by a certain percentage. Practice problems are available. [9:43]
Khan Academy
Khan Academy: Algebra: Growing by a Percentage
This video demonstrates how to find the new value of a number after it grows by a given percent. It also shows to set up and solve an algebraic equation in order to determine the original amount before a certain number grows by a given...
Khan Academy
Khan Academy: Algebra: Zero, Negative, & Fractional Exponents
This resource shows how the properties of negative and zero exponents need to be true for the other rules of exponents to hold. In addition, it introduces fractional exponents and shows how to simplify algebraic expressions with negative...
Khan Academy
Khan Academy: Algebra: Absolute Inequalities 2
A step-by-step demonstration on how to solve an inequality with an absolute value and fractions. [7:30]