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IIT JEE Trigonometric Constraints, Trig Identities and Examples, Trigonometry
Sal solves a challenging trigonometric problem for finding the number of values of _ that satisfy several constraints over a given interval. He shows a clear step-by-step solution and uses some trigonometric identities that he derives.
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IIT JEE Trigonometry Problem 1, Trig identities and Examples, Trigonometry
In this video, Sal solves an interesting question from a college entrance exam in India that requires knowledge of arithmetic progressions, trigonometric identities, and algebra. He works through solving the problem step-by-step by...
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Inverse Trig Functions: Arccos, Trigonometry
Sal follows a format similar to the last two in the third video on inverse trigonometric functions. He finds the value for the arccos (-1/2) and shows the restricted domain of the arccos function. He also finds the value for cos(arccos...
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Inverse Trig Functions: Arctan, Trigonometry
Continuing with inverse trigonometric functions, Sal finds the value for tan^-1-1. He also shows the restricted domain of the arctan function.
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Inverse Trig Functions: Arcsin, Trigonometry
Sal defines the concept of inverse trigonometric functions and completes two examples of arcsin. Specifically, he finds the values of the arcsin (sqrt 2/2) and arcsin (sqrt 3/2). He also discusses the restricted domain of the arcsin...
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Ferris Wheel Trig Problem (Part 2)
Sal continues the Ferris wheel problem in a previous video by graphing the function between zero and 30 seconds.
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Ferris Wheel Trig Problem
The next time you are at an amusement park you may want to consider all the interesting math problems you could do! Using trigonometric ratios, some logic and algebra, Sal solves a problem in this video of finding a person's height off...
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Proof: Law of Sines, Trig Identities and Examples, Trigonometry
Sal proves the Law of Sines in this video by using the SOH-CAH-TOA model and setting up equivalent ratios.
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Proof of the Law of Cosines, Trig Identities and Examples, Trigonometry
Sal derives the Law of Cosines using a method similar to the wayward ship captain word problem he solves in another video. This video provides a good review of using the SOH-CAH-TOA model, the Pythagorean Theorem, some basic trig...
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Mean Value Theorem, Derivative Applications, Differential Calculus
Sal spends most of this video explaining the Mean Value Theorem in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of...
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Product Rule, Taking Derivatives, Differential Calculus
Sal defines the product rule and then shows two examples of its use. He then shows an example of finding the derivative using the chain and product rules together.
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Introduction to Limits 2, Limits, Precalculus
Sal explains limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits...
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Introduction to Limits, Limits, Differential Calculus
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
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French Revolution (Part 4) - The Rise of Napoleon Bonaparte, World history
A good way to transition from the French Revolution to the influence of Napoleon Bonaparte, this video details how the French government changed in the intervening years, and Napoleon's militaristic rise to power. The colorful maps,...
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Napoleon and the War of the Fourth Coalition, World history
France has undergone a lot of changes lately—first, the monarchy fell to revolution, then the Republic was formed from the ashes, and now Napoleon has made France a major world power once again. This video shows the meteoric rise of...
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Napoleon and the Wars of the First and Second Coalitions
After summarizing Napoleon's conquests and the coalitions against which he fought, this video details his emergence as Emperor and a major superpower in Europe. It summarizes the main points about Napoleon, including his trail through...
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Napoleon and the War of the Third Coalition
This video begins with a timeline of the main events in Napoleon's career (starting in 1799). It details the War of the Third Coalition and the transition of the Holy Roman Empire into the Confederation of the Rhine. Maps, paintings, and...
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Example 1: Multiplying Two Monomials with a Single Variable, Algebra I
Multiply polynomials with Sal Khan! In this one-minute video, Sal describes what a monomial is, and how it can be used to express the area of a rectangle.
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Ex 3: Distributive Property to Simplify, Linear Equations, Algebra I
Variables on both sides of the equation are the name of the game in this video, and Sal's easygoing manner and thorough instructions make even complicated algebraic equations look like games. He warms up with two equations to demonstrate...
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Cancer, Cells, MCAT
Learning about apoptosis and how cells can destroy themselves without any external influence is fascinating. Sal creates interest in the vast number of cells and the complexity of the human body. The likelihood of a mutation causing a...
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Solving Quadratic Equations by Completing the Square, Algebra II
"The neat thing about completing the square is that it will always work," Sal explains, "no matter how crazy the problem is." This video provides a basic overview of how to complete the square and provides a good background for both...
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Box-and-Whisker Plots
Elucidating the concept of box-and-whisker plots, Sal explains not only how to generate the diagram but also how to read one. He uses several examples to help young mathematicians become familiar with the format and explains its...
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Difference of Cubes Factoring, Polynomial and Rational Functions, Algebra II
Sal factors and finds the difference between the two cubed terms because this comprehensive presentation would be perfect as homework support or as an independent workstation.
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Polynomial Division, Polynomial and Rational Functions, Algebra II
Put your math pupils’ division and algebra skills to the test with this video, which introduces the concept of polynomial division. Sal's examples increase in complexity as the video progresses, allowing viewers to see how basic skills...