Khan Academy
Khan Academy: Calculus: Polynomial Approximation of Functions (Part 1)
Video lesson showing how to approximate a function at 0 using a polynomial by deriving the first three terms for the formula of a Maclaurin series. [9:45]
Khan Academy
Khan Academy: Arithmetic and Pre Algebra: Addition 2
This video covers addition by counting and using a number line, followed by place value concepts and addition of two-digit numbers. Practice problems are available. [12:26]
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Khan Academy: Algebra: Quadratic Functions 3
Video graphing a parabola by plotting the roots, vertex and axis of symmetry. Roots of the quadratic function are found by factoring. Vertex of the parabola is found by three different methods: taking the midpoint of the roots, finding...
Khan Academy
Khan Academy: Calculus: Divergence 2
Video lesson continuing an introduction of divergence by using the graph of a particular vector field, calculating the divergence and explaining what it means for the example. Works through three more examples in the same way. Examples...
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Khan Academy: Calculus: Solid of Revolution (Part 3)
Video lesson using the disk method of integration to derive the formula for the volume of a sphere. [8:59]
Khan Academy
Khan Academy: Algebra: Perpendicular Lines 2
This video demonstrates how to find the equation of a line when given a point on the line and the equation of a line perpendicular to it. Practice problems available. [3:01]
Khan Academy
Khan Academy: Algebra: Completing the Square 1
Demonstrates how to use the completing the square method to identify a constant value for a given trinomial to create a perfect square trinomial. Practice problems available. [3:22]
Khan Academy
Khan Academy: Algebra: Completing Perfect Square Trinomials
Explains how to use the completing the square method to determine what constant value can be added to a given polynomial to create a perfect square trinomial. [3:28]
Khan Academy
Khan Academy: Pre Calculus: Sequences and Series (Part 2)
This video follows from Khan Academy: Sequences and Series (Part 1) and furthers the idea of the basic geometric series. Explains how to find the sum of both a finite and an infinite geometric series. Uses limits to find the sum of an...
Khan Academy
Khan Academy: Multivariable Calculus: Partial Derivatives 2
Video lesson continuing an introduction to partial derivatives by looking at an example differentiated with respect to a different variable. A 3-D graph is included to help visualize the solution. Various examples without graphs are also...
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Khan Academy: Algebra: Applying Radical Equations 1
Video solving an application problem that includes solving a radical equation. Equation is solved by isolating the square root and then squaring both sides. [5:24]
Khan Academy
Khan Academy: Calculus: Divergence 3
Video demonstrating how to find the divergence for a two-dimensional vector field, calculating when the divergence would be positive or negative, and analyzing the graph of the vector field. [10:48]
Khan Academy
Khan Academy: Multivariable Calculus: Gradient 1
Video lesson introducing gradients in two dimensions by calculating a gradient and then explaining what it is using a 3-D graph. [9:45]
Khan Academy
Khan Academy: Algebra: Evaluating Exponential Expressions 3
Video evaluating an exponential expression using the order of operations. Includes negative exponents. [4:26]
Khan Academy
Khan Academy: Applications of Similar Triangles
Explains how to solve a given word problem that involves similar triangles. The problem requires that two unknown side lengths be determined. [5:34]
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Khan Academy: Pre Calculus: Limit Examples (Part 3)
Video addresses limits of rational functions that can be simplified by factoring. Also provides examples of how to find the limit of a function as x approaches infinity. Includes link to practice problems. This video is also found in the...
Khan Academy
Khan Academy: Trigonometry: Proof: Cos(a+b)=(cos A)(cos B) (Sin A)(sin B)
Video demonstrating the proof for the formula for the cosine of the sum of two angles. Includes link to additional practice problems. [9:22]
Khan Academy
Khan Academy: Algebra: Introduction to Functions
Video giving a general overview of the concept of a function by discussing inputs and outputs. Shows function notation, an example of a piece-wise function and how to evaluate at certain points as well as how to evaluate a composition of...
Khan Academy
Khan Academy: Statistics: Binomial Distribution 3
Video demonstration of finding the binomial distribution for an example about shooting six free throw shots by calculating the probabilities of each number of shots that were made. Video is also listed in the Probability section of Khan...
Khan Academy
Khan Academy: Algebra: Integer Sums
This video shows how to set up a linear equation to determine the value of unknown consecutive integers. There are two examples given that also demonstrate how to solve these equations. [9:56]
Khan Academy
Khan Academy: Algebra: Algebra Ii: Simplifying Polynomials
Video demonstrates solutions to four problems from the California Algebra II released state test questions including factoring polynomial expressions, adding and dividing rational expressions, and applying exponent rules. [10:19]
Khan Academy
Khan Academy: Algebra: Functions Part 2
Video evaluating combinations and compositions of functions including a piece-wise function. Focus is on understanding function notation. Includes link to additional practice at the top of the video. [9:54]
Khan Academy
Khan Academy: Differential Calculus: Limit Examples (Part 4)
Video focuses on complex functions that require substantial simplification before determining the limit. Examples include a radical function and a trigonometric function. [15:02]
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Khan Academy: Probability: Permutations
Video lesson introducing permutations by looking at examples and the formula. [10:11]