Khan Academy
Khan Academy: Algebra: Conic Sections: Tangent Line Hyperbola Relationship
A video lesson showing the algebraic relationship between the equation of an arbitrary hyperbola and its arbitrary tangent line. [10:04]
Khan Academy
Khan Academy: Linear Algebra: Why Eigenbases Make for Good Coordinate Systems
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...
Khan Academy
Khan Academy: Calculus: (2^Ln X)/x Antiderivative Example
Video lesson showing how to solve for the antiderivative of (2^ln x)/x by using u-substitution. [8:40]
Khan Academy
Khan Academy: Differential Equations: Laplace Transform 4
Video continues the lesson from the previous video finding a Laplace transform table value which involves integration by parts twice. [9:13]
Khan Academy
Khan Academy: Algebra: Applying the Metric System
A step-by-step breakdown on how to solve a real-world application problem involving converting units within the metric system. [5:43]
Khan Academy
Khan Academy: Linear Algebra: Showing That the Candidate Basis Does Span C(a)
Video first reviews how to find the basis for the column space of a matrix using the reduced row echelon form. Proves that the basis for the column space using the reduced row echelon form method spans the column space. Uses this and the...
Khan Academy
Khan Academy: Algebra: Quadratic Formula 2
Demonstrates how to solve a quadratic equation that begins in the form ax^2 + bx = c using the quadratic formula. [6:40]
Khan Academy
Khan Academy: Algebra: Algebraic Word Problem
This video shows how to write and solve a multi-step equation based on an algebraic word problem. [8:02]
Khan Academy
Khan Academy: Linear Algebra: Introduction to Linear Independence
Video explains what linearly dependent vectors and linearly independent vectors are. Shows visual representations to help explain the concept and relates it to the span of the linear combination of the vectors. [15:46]
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: 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: 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: Algebra: Simplifying Radical Expressions 1
Video simplifying the cube root of a negative number using prime factorization. [2:37]