Khan Academy
Khan Academy: Statistics: Anova 2 Calculating Sum of Squares Within and Between
Video demonstrates how to calculate the sum of squares within and the sum of squares between. Discusses the relationship between the sum of squares within, the sum of squares between and the total sum of squares and the relationship...
Khan Academy
Khan Academy: Linear Algebra: Introduction to the Null Space of a Matrix
Video first reviews the criteria for a subspace and then goes through the steps to show the null space meets the criteria and is a a subspace. This video also appears in the strand Algebra: Matrices. [10:21]
Khan Academy
Khan Academy: Trigonometry: Inverse Trig Functions: Arcsin
Video introduces the arcsine function. Includes examples of finding the arcsine using knowledge of the unit circle. Includes link to additional practice problems. [10:36]
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Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 2
Video continues from previous video showing what happens when the roots of the characteristic equation are complex and deriving a formula for the general solution. Shows an example problem applying the formula derived to determine the...
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Khan Academy: Linear Algebra: Expressing Projection as Matrix Vector Product
Video shows how to simplify the vector projection formula using unit vectors. Shows that projections are linear transformations. Shows the general formula for the transformation matrix for projections in R^2. Shows an example using the...
Khan Academy
Khan Academy: Linear Algebra: Expressing Projection as Matrix Vector Product
Video shows how to simplify the vector projection formula using unit vectors. Shows that projections are linear transformations. Shows the general formula for the transformation matrix for projections in R^2. Shows an example using the...
Khan Academy
Khan Academy: Statistics: Poisson Process 2
Video continues the explanation of the derivation of the Poisson formula from previous video by referencing an example about the number of cars passing a certain point. Brief example of using the formula is given. Video is also included...
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Khan Academy: Geometry: 2003 Aime Ii Problem 7
Explanation of 2003 AIME II (American Invitational Mathematics Examination) Problem 7. Finding the area of a rhombus based on the circumradii of triangles. This video also appears in the Geometry: Polygons, quadrilaterals, and...
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Khan Academy: Linear Algebra: Dimension of the Column Space or Rank
Video shows how to find the basis and dimension of the column space by finding its reduced row echelon form and using the columns corresponding to the pivot columns as the basis. Explains that rank is the dimension of the column space....
Khan Academy
Khan Academy: Biology: Krebs/citric Acid Cycle
Become skilled at the process of the Krebs or Citric Acid Cycle. [17:47]
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 3
Video shows another example of using matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Explains how to determine how many solutions the system will have by looking at the reduced row echelon form....
Khan Academy
Khan Academy: Algebra: Mixture Problems 3
This video demonstrates how to solve a mixture problem by using a table and solving an equation. [4:07]
Khan Academy
Khan Academy: Linear Algebra: Change Bases to Help Find a Transformation Matrix
Video showing how to change coordinate systems to make finding the transformation matrix with respect to the standard basis easier. First, a specific linear transformation is defined and the regular method for constructing the...
Khan Academy
Khan Academy: Statistics: Small Sample Size Confidence Intervals
Video gives example of using a t-distribution when a small sample size is given. Example includes how to use a t-table to create a confidence interval for the population mean. [11:11]
Khan Academy
Khan Academy: Algebra: Equation of a Line Hairier Example
This video demonstrates how to write a linear equation in slope-intercept form when given the slope and one point on the line. The point given contains a negative fraction. [3:24]
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Khan Academy: Algebra: Solving Application Problems Involving Units of Volume
A step-by-step breakdown on how to approach and solve a problem invoving volume and converting between units. [3:29]
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Khan Academy: Geometry: Angle Game (Part 2)
Solving for unknown angle measures using knowledge of different angle relationships and the triangle sum theorem. Continuation of Angle Game video. [9:49]
Khan Academy
Khan Academy: Algebra: The Beauty of Algebra
Video explaining why algebra is fundamental to an understanding of the universe. [10:07]
Khan Academy
Khan Academy: Linear Algebra: Determinant After Row Operations
A video lesson proving that the determinant of a matrix does not change even after performing row operations on the matrix. [10:25]
Khan Academy
Khan Academy: Geometry: The Angle Game
Solving for unknown angle measures using knowledge of different angle relationships and the triangle sum theorem. [9:01]
Khan Academy
Khan Academy: Linear Algebra: Reduced Row Echelon Form 1
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables. Shows how the system relates to vectors to help visualize what the solution represents. This video also appears in the...
Khan Academy
Khan Academy: Linear Algebra: Alternate Basis Transformation Matrix Example
Video reviewing the relationship between transformation matrices with respect to different bases. Addresses manipulating the equation to write it in terms of the transformation matrix with respect to the standard basis. The relationship...
Khan Academy
Khan Academy: Algebra: Conic Sections: Hyperbolas 3
An instructional video that teaches students how to graph a hyperbola that is not centered at the origin. The equation is given in standard form, the asymptotes are determined, and the graph is sketched. Includes a link to practice...
Khan Academy
Khan Academy: Biology: Tropomyosin and Troponin
An explanation of muscle contraction with tropomyosin and troponin. [9:22]