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: 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]
Khan Academy
Khan Academy: Statistics: Anova 1 Calculating Sst(total Sum of Squares)
Video demonstrates how to calculate the total sum of squares and uses the degrees of freedom to calculate variance. [7:39]
Khan Academy
Khan Academy: Algebra: Conic Sections: Iit Jee Circle Hyperbola Common Tangent 4
The fourth of five videos on solving an IIT JEE problem concerning a tangent line that is common both to a circle and a hyperbola. This video combines equations from both the second and third videos to form a system of two equations in...
Khan Academy
Khan Academy: Trigonometry: Iit Jee Trigonometric Constraints
Video shows solving a trigonometry problem to find the number of values in a given range that satisfy certain conditions. Trigonometric identities are used. [12:49]
Khan Academy
Khan Academy: Algebra: More on Significant Figures
Video explaining the rules for calculating the number of significant figures. Includes link to additional practice at the top of the video. [5:40]
Khan Academy
Khan Academy: Calculus: 2 D Divergence Theorem
Video showing how to find the closed line integral of the dot product of a vector field and a unit normal vector to figure out how fast particles are exiting the region formed by the closed curve. Green's theorem is applied and the...
Khan Academy
Khan Academy: Geometry: Finding Area Using Similarity and Congruence
Explains how to determine the area of a pentagonal shaded region in a triangle. The triangle that is broken into multiple similar and congruent triangles. [10:07]
Khan Academy
Khan Academy: Linear Algebra: Determining Whether a Transformation Is Onto
Video reviews from previous videos that a function is invertible if and only if it is onto and one-to-one. Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the...
Khan Academy
Khan Academy: Linear Algebra: Showing That a Transpose X a Is Invertible
A video lesson proving that the product of a matrix and its transpose is invertible if all of the columns of the originial matrix are linearly independent. [12:34]
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arccos
Video introduces the arccosine function, including an example of finding the arccosine using knowledge of the unit circle. Includes link to additional practice problems. [13:38]
Khan Academy
Khan Academy: Differential Equations: Exact Equations Example 3
Video shows example of determining if a differential equation is exact and how to solve it. [9:59]
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example Pt 2
Video continuing the example from the previous video where a transformation matrix with respect to an alternate basis was found given a transformation matrix with respect to the standard basis, an alternate basis and a change of basis...
Khan Academy
Khan Academy: Linear Algebra: Compositions of Linear Transformations 1
Video first shows an intuitive sense of what composing linear transformations does and the notation used. Shows that the composition of linear transformations is also a linear transformation. [12:21]
Khan Academy
Khan Academy: Algebra: Equations 3
This video demonstrates how to solve equations with a variables on both sides of the equal sign. Practice problems available. [8:53]
Khan Academy
Khan Academy: Proof (Pt 2) Minimizing Squared Error to Regression Line
Video is the third of five related videos about deriving the formula for the least squares regression line. This video continues the algebraic manipulation to start deriving the formula by changing the notation to means instead of...
Khan Academy
Khan Academy: Geometry: More on Why Ssa Is Not a Postulate
Explains why SSA is not a valid postulate for proving triangle congruence. Practice problems available. This video [7:24] also appears in the Geometry: Triangles strand.
Khan Academy
Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 3
The final video in a series of lessons on solving non-linear systems of equations. A quadratic system is given and, in the process of solving algebraically, it is determined that there is no solution. This conclusion is confirmed...
Khan Academy
Khan Academy: Algebra: Proof: Log a + Log B = Log Ab
Shows a proof of the property that multiplication inside the log can be turned into addition outside the log. log_ab = log_a + log_b. [7:08]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #6A
Video shows how to use limits to determine if a function is continuous at a given point. [4:23]
Khan Academy
Khan Academy: Geometry: Two Column Proof Showing Segments Are Perpendicular
In this video tutorial [11:06], the instructor shows how to construct a two-column proof using triangle congruence postulates to prove that two line segments are perpendicular.