Khan Academy
Khan Academy: Pre Calculus: Polar Coordinates 3
The third video in the Khan Academy's series on Polar Coordinates. This final segment goes through several more examples of converting Cartesian equations to polar equations and vice versa. This video is also included in the Trigonometry...
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Khan Academy: Linear Algebra: Span and Linear Independence Example
Video shows an example of proving that a particular linear combination of 3 vectors in R3 spans R3. Relates this to linearly independent and linearly dependent vectors. [16:53]
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Khan Academy: Algebra: Direct Variation Models
This video demonstrates how to create a direct variation model, or a linear equation, given a word problem that deals with rate of change. It also shows how to solve the equation and graph the direct variation model. Practice problems...
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Khan Academy: Chemistry: Half Life
A video lecture discussing radioactive decay and half lives. Understand how half life and the mass of the compound remaining is calculated by following the examples given in the lecture. [12:31]
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Khan Academy: Calculus: 2011 Calculus Ab Free Response #3 (A & B)
Video demonstrates how to write the equation of a line tangent to a function at a given point. Also shows how to find the area between two curves using definite integrals. [8:13]
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Khan Academy: Algebra: Averages
This video begins with a couple of examples on how to calculate averages using whole numbers. Then it applies this skill to solving algebra problems that involve averages. Practice problems available. [8:37]
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Khan Academy: Differential Equations: First Order Homogeneous Equations
Video first shows what homogeneous means in terms of differential equations, then shows how to use substitution to find solutions to the homogeneous differential equation. [7:21]
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Khan Academy: Statistics: Comparing Population Proportions 1
Video is the first of two parts to demonstrate an example using election statistics to compare the population proportions of the women and men who voted for a particular candidate. This first video just shows how to calculate the mean...
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Khan Academy: Algebra: Compound Inequalities
Video demonstrates step-by-step how to solve and graph a compound inequality with a solution set that satisfies both constraints. Practice problems available. This video is also found in the strand Algebra: ck12.org. [11:45]
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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]
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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]
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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]
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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]
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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...
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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....
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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]
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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...
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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]
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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]
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Khan Academy: Biology: Diffusion and Osmosis
A detailed explanation of the processes of diffusion and osmosis. [18:59]