Khan Academy
Khan Academy: Algebra: Complex Numbers: Iit Jee Complex Numbers (Part 1)
Video shows working a problem from the IIT JEE test which involves using algebraic manipulation to determine the validity of an equation with magnitudes of the differences of certain complex numbers. [7:21]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Identity Property of 1 (2Nd Example)
This video explains the identity property of multiplication. Practice problems are available. [1:24]
Khan Academy
Khan Academy: Algebra: Origins of Algebra
Video explaining the history of algebra including different individuals considered to be the "father" of algebra and the origin of the name algebra. [7:17]
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Khan Academy: Geometry: Rhombus Diagonals
Demonstrates how to prove that the diagonals of a rhombus are perpendicular bisectors of each other based on knowledge of triangle congruency postulates and properties of altitudes. [4:38]
Khan Academy
Khan Academy: Algebra: Taking Percentages
This video demonstrates how to take the percent of a number. It also takes it further and demonstrates how to set up an algebraic equation in order to find what number when you take a certain percent from it gives you another number....
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Khan Academy: Linear Algebra: Null Space and Column Space Basis
Video first gives examples of finding the column space and null space of a matrix. Shows how to determine if the column space is a basis. Gives an example of finding the basis of the column space if the column space is not already a...
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Khan Academy: Linear Algebra: Null Space 2: Calculating the Null Space of Matrix
Video demonstrates how to calculate the null space of a matrix by creating a system of equations and using reduced row echelon form to solve and represent the null space by a linear combination of vectors and by the span of vectors. This...
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Khan Academy: Differential Equations: More Laplace Transform Tools
Video shows how to extend the derivative property of the Laplace transform to write the Laplace transform of higher order derivatives in terms of their original function. Shows an alternate notation of the Laplace transform and an...
Khan Academy
Khan Academy: Algebra: Solving Systems by Substitution 3
This video demonstrates how to solve a system of linear equations by substitution. It also takes it a step further and graphs the system of equations on a coordinate grid. [6:04]
Khan Academy
Khan Academy: Linear Algebra: 3 X 3 Determinant
A video lesson that shows how to find the determinant of a 3 x 3 matrix using cofactor expansion. Defines the formula in general terms then shows a concrete example. [10:01]
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Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Common Tangent 2
The second video dedicated to solving an IIT JEE problem concerning a tangent line that is common to both a circle and a hyperbola. This video uses algebra to determine where the arbitrary line y = mx + b could intersect the given circle...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Subtracting Decimals (Old)
This video demonstrates how to subtract decimals. Practice problems are available. [8:31]
Khan Academy
Khan Academy: Differential Equations: Integrating Factors 2
Video continues from previous video showing how to solve the differential equation once the integrating factor is found. [8:26]
Khan Academy
Khan Academy: Algebra: Addition Elimination Method 1
This video demonstrates how to solve a system of linear equations using the elimination method. [3:38]
Khan Academy
Khan Academy: Statistics: Sampling Distribution Example Problem
Video example of using a sample distribution to solve a problem determining the probability that a sample mean is below a certain number. Includes example of finding a z-score and looking it up in a table to determine the probability....
Khan Academy
Khan Academy: Linear Algebra: Eigenvalues of a 3x3 Matrix
Video reviewing the process of finding eigenvalues and then using that process to find the eigenvalues for a specific 3x3 matrix. Part of the process requires finding the determinant of a matrix and solving a cubic equation. [14:08]
Khan Academy
Khan Academy: Algebra: One Step Inequalities
Video demonstrating how to solve and graph a one-step inequality. Practice problems available. [1:54]
Khan Academy
Khan Academy: Algebra: Solving Equations 2
This video demonstrates how to solve a multi-step equation with integers. It also demonstrates how to check your answer by plugging the answer back into the original equation. [4:06]
Khan Academy
Khan Academy: Linear Algebra: Change of Basis Matrix
A video lesson explaining how to change from coordinates with respect to a given basis to traditional Cartesian coordinates and vice versa by using a change of basis matrix. Includes concrete examples in R3. [17:55]
Khan Academy
Khan Academy: Linear Algebra: Exploring the Solution Set of Ax=b
Video first graphs the transformation image of a specific transformation. Then examines the solution set for a couple particular points in the image. Shows that the solution set is a shifted version of the null space. [16:34]
Khan Academy
Khan Academy: Geometry: Challenging Perimeter Problem
Demonstrates how to solve a problem from the 2000 American Invitational Mathematics Examination which involves finding the perimeter of a rectangle covered by nine overlapping squares. [9:56]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Mixed Numbers and Improper Fractions
This video teaches how to convert between improper fractions and mixed numbers. Practice problems are available. [9:14]
Khan Academy
Khan Academy: Geometry: Incenter and Incircles of a Triangle
Explains that the intersection of the three angle bisectors of a triangle form the incenter of the triangle. [7:58]
Khan Academy
Khan Academy: Linear Algebra: Introduction to Projections
Video reviews how to use vectors to define a line. Gives an intuitive sense of what a projection is, then explains step-by-step where the formula for projections comes from. Shows an example of calculating a vector projection. [14:37]