Khan Academy
Khan Academy: Introduction to Electrolysis
This video compares a voltaic cell to an electrolytic cell. [6:51]
Khan Academy
Khan Academy: Quantitative Electrolysis
Calculate how much zinc deposits on the zinc electrode after 1.0 h when a current of 5.0 A is applied to the battery. [6:54]
Khan Academy
Khan Academy: Linear Algebra: More on Linear Independence
Video expands the examples of linearly independent and linearly dependent vectors shown in the previous video to give a formal definition of linearly dependent vectors. Shows a proof of the definition and then gives an example of using...
Khan Academy
Khan Academy: Linear Algebra: Null Space 3: Relation to Linear Independence
Video reviews what the null space of a matrix is and how to calculate it, then relates it to linear independence. Shows that if the vectors are linearly independent then the null space is the zero vector. Also shows that if the null...
Khan Academy
Khan Academy: Algebra: Subtracting Polynomials With Multiple Variables
Demonstrates how to subtract polynomials when there are multiple variables in each polynomial. [2:10]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Speed Translation
This video explains how to convert between units of speed. Practice problems are available. [9:56]
Khan Academy
Khan Academy: Algebra: Graphing Inequalities 2
This video demonstrates how to graph an inequality with two variables and check your graph by substituting ordered pairs back into the inequality. Practice problems available. [5:20]
Khan Academy
Khan Academy: Biology: Diffusion and Osmosis
A detailed explanation of the processes of diffusion and osmosis. [18:59]
Khan Academy
Khan Academy: Geometry: Koch Snowflake Fractal
Explanation of the Koch Snowflake and why it has an infinite perimeter but a finite area. [9:11]
Khan Academy
Khan Academy: Linear Algebra: Projection Is Closest Vector in Subspace
A video lesson proving that the projection of a vector is actually the closest vector in the subspace to the original vector. [9:05]
Khan Academy
Khan Academy: Linear Algebra: Vector Triple Product Expansion (Very Optional)
Video deriving the triple product expansion by expanding the cross product of 3 vectors and then simplifying it to the difference of dot products. [14:25]
Khan Academy
Khan Academy: Algebra: Multiplying Polynomials 3
Video shows how to use polynomial multiplication to find the volume of a cylinder of given dimensions. The problem requires multiplying a binomial and a trinomial. [4:19]
Khan Academy
Khan Academy: Chemistry: Titration Roundup
An explanation of how pH changes during various acid-base titrations. [11:02]
Khan Academy
Khan Academy: Differential Equations: Inverse Laplace Examples
Video first reviews properties of the Laplace transform that were shown in previous videos as well as Laplace transform table values that have been shown in previous videos. Then uses the properties and inverse Laplace transforms to find...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Inverse Property of Addition
This video demonstrates the inverse property of addition. Practice problems are available. [2:59]
Khan Academy
Khan Academy: Linear Algebra: Transposes of Sums and Inverses
Video explaining two properties of transpose matrices: that the transpose of the sum of two matrices is equivalent to the sum of the transpose of each matrix and that the inverse of the transpose of a matrix is equivalent to the...
Khan Academy
Khan Academy: Algebra: Rational Equations
A step-by-step breakdown to solve a rational equations and find the excluded values. [4:16]
Khan Academy
Khan Academy: Linear Algebra: Compositions of Linear Transformations 2
Video shows that the transformation matrix of the composition of linear functions is the product of the transformation matrices of each linear transformation in the composition. [16:30]
Khan Academy
Khan Academy: Geometry: Ca Geometry: Similar Triangles 1
This video tutorial [12:55] demonstrates solutions to problems #10-14 of California Geometry released state test questions. Problems address understanding of counterexamples, properties of quadrilateral diagonals, and similar triangles.
Khan Academy
Khan Academy: Intro to Complex Number Conjugates
An instructional video describing complex conjugates. Complex conjugates are defined and then used to simplify a problem in which a complex number is divided by another complex number. [8:03]
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: Biology: Sodium Potassium Pump
A detailed explanation of how a neuron transmits information from a dendrite to an exon. [13:53]
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]
