Khan Academy
Khan Academy: Geometry: Area of Diagonal Generated Triangles of Rect. Are Equal
This video tutorial [4:36] shows that the four triangles created by the diagonals of a rectangle all have the same area.
Khan Academy
Khan Academy: Chemistry: Electron Configurations 2
Determining electron configurations for d-block elements. [10:18]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4D
Video shows how to calculate the average rate of change of a function over an interval and explains why it does not contradict the Mean Value Theorem. [5:46]
Khan Academy
Khan Academy: Linear Algebra: Simplifying Conditions for Invertibility
A video lesson explaining that a transformation matrix is invertible if and only if it is a square identity matrix in reduced row echelon form. This video is also found in the strand Algebra: Matrices. [6:37]
Khan Academy
Khan Academy: Economics: Primaries and Caucuses
How do states choose their delegates for their national party convention? This video presentation focuses on the principles of primaries and caucuses. Learn how primaries work in a winner-take-all state or a state where the votes become...
Khan Academy
Khan Academy: Biology: B Lymphocytes
The role of B lymphocytes and their function in the humoral immune response. [14:13]
Khan Academy
Khan Academy: Algebra: Rationalizing Denominators of Expressions
Video demonstrates how to rationalize and simplify an expression that has a binomial in the numerator and square root of 8 in the denominator. [4:58]
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #2 (A & B)
Video shows how to use a table of values to determine the approximate rate of change at a given time. Also explains what a definite integral means in terms of the situation and shows how to use a trapezoidal sum to estimate the integral....
Khan Academy
Khan Academy: Algebra: Complex Numbers: Dividing Complex Numbers
Video shows an example of dividing complex numbers using complex conjugates. [4:58]
Khan Academy
Khan Academy: Chemistry: Boiling Point Elevation and Freezing Point Depression
A video lecture explaining how adding solute particles to a solution can lower the melting point and raise the boiling point of the solution. The concept is explored with illustrations and a video demonstrations. Also included is an...
Khan Academy
Khan Academy: Algebra: Compound Inequalities 4
Video demonstrates step-by-step how to approach a compound inequality with no solution set since the problem requires the solution to meet both sets of criteria. Practice problems available. [2:41]
Khan Academy
Khan Academy: Pre Calculus: 2003 Aime Ii Problem 8
A video showing the step-by-step solution of problem 8 from the 2003 American Invitational Mathematics Examination. The first three terms in a sequence are given. The sequence is created by multiplying the corresponding terms of two...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Prime Factorization
This video shows how to find the prime factorization of a two-digit number and write the answer in exponential notation. Practice problems available. Practice problems are available. [4:09]
Khan Academy
Khan Academy: Algebra: Equation Special Cases
A video that demonstrates an equation that results in no solution. [1:55]
Khan Academy
Khan Academy: Linear Algebra: Orthogonal Complement of the Orthogonal Complement
A video proving that the orthogonal complement of the orthogonal complement of some subspace V must be a member of the original subspace V. Proves that V and the orthogonal complement of the orthogonal complement of V are exactly the...
Khan Academy
Khan Academy: Algebra: Radical Equivalent to Rational Exponents 2
Video simplifying the 4th root of an algebraic expression by writing it with fractional exponents and then simplifying further. [2:24]
Khan Academy
Khan Academy: Linear Algebra: Proof: Any Subspace Basis Has Same Number Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension. This video also appears in the strand Algebra: Matrices. [21:25]
Khan Academy
Khan Academy: Differential Equations: Undetermined Coefficients 1
Video first shows the intuition that the general solution to a nonhomogeneous differential equation is the general solution of the homogenous equation plus a particular solution of the nonhomogeneous equation. Then shows an example of...
Khan Academy
Khan Academy: Algebra: Linear Equations 3
A video that demonstrates how to solve a multi-step linear equation. There are two sample problems that contain only integers. Practice problems available. [6:44]
Khan Academy
Khan Academy: Linear Algebra: Basis of a Subspace
Video explains what a basis for a vector subspace is and its criteria: the vectors must span the subspace and be linearly independent. Also gives an informal definition of basis as the minimum set of vectors that spans the subspace....
Khan Academy
Khan Academy: Biology: Myosin and Actin
The process of how two proteins can interact with one another to produce mechanical motion. [9:38]
Khan Academy
Khan Academy: Linear Algebra: Gram Schmidt Example With 3 Basis Vectors
Video using the Gram-Schmidt process to create an orthonormal basis from a specific basis with three basis vectors in four-dimensional space. [13:57]
Khan Academy
Khan Academy: Linear Algebra: Preimage of a Set
Video first reviews what the image under a transformation is and then introduces the concept of preimage. [5:23]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Common Divisibility Examples
This video shows how to determine the prime factorization of a number to determine divisibility. Practice problems are available. [8:13]