Khan Academy
Khan Academy: Algebra: Partial Fraction Expansion 3
Video demonstrates how to perform partial fraction expansion on a given rational expression. In the given expression, there is a repeated factor in the denominator. [10:35]
Khan Academy
Khan Academy: Algebra: Multi Step Equations
This video demonstrates how to solve multi-step equations. There are two sample problems where an equation is given and a third word problem that requires an equation to be written and solved. [15:01]
Khan Academy
Khan Academy: Pre Calculus: Series Sum Example
A video which gives the step-by-step solution to a difficult series sum problem from the Joint Entrance Exam for the Indian Institutes of Technology. It is problem 54 from Paper 1 of the 2010 exam. Students learn how to find the sum of a...
Khan Academy
Khan Academy: Trigonometry: Trigonometry Identity Review/fun
Video showing how to derive additional trigonometric identities, including the double angle formulas, from the sine and cosine of the sum and difference of two angles. Includes link to additional practice problems. [11:07]
Khan Academy
Khan Academy: Differential Equations: Exact Equations Intuition 2 (Proofy)
Video explains that when taking the partial derivatives of continuous equations, order is not important. Also explains how to determine if an equation is an exact differential equation. [10:51]
Khan Academy
Khan Academy: Linear Algebra: Dimension of the Null Space or Nullity
Video reviews how to find the null space of a matrix using reduced row echelon form. Shows that the vectors of the null space are linearly independent and form a basis for the null space. Extends this to show how the nullspace can be...
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Adding Negative Numbers
This video shows addition of negative numbers on a number line, using absolute values. Practice problems are included. [5:41]
Khan Academy
Khan Academy: Algebra: Pythagorean Theorem
This video tutorial [13:03] explains that the Pythagorean theorem can only be used on right triangles and explains how it is used. Gives several examples using the Pythagorean theorem to find the unknown side of a right triangle....
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Converting Units of Length
This video explains how to convert between customary units of length in the context of a word problem. Practice problems are available. [8:04]
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: 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: 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.