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The derivative function: How-to videos
In the attached document an overview of instructional videos related to the topic derived functions. The following topics are covered:
- increasing and decreasing;
- difference quotient;
- calculate difference quotient by formula;
- speed at one time; …
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Coding with Chrome: Extension
Coding with Chrome is an extension that teaches you how to code and program in the Chrome browser. The extension provides you with a user-friendly educational coding environment (IDE) that you can even use offline.
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Ptolemy's theorem: Bundel
A discussion of Ptolemy's theorem from plane Euclidean geometry.
Also a number of exercises in which that theorem can be applied with the enclosed solution key.Translated by
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Geometric proofs: Work bundle
A collection with more than a thousand geometry problems in which a certain geometric relationship has to be proved.
The solution key for all these geometry problems has also been added.
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Center of Gravity: Bundle
A discussion of the determination of the centroid of a number of point masses, geometric figures and areas determined by the graphs of functions.
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Full Induction: Bundle
A comprehensive treatment of full induction with many worked examples.
This is followed by a series of exercises (with detailed solutions) to practice this subject matter.
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Vector Geometry in 2D and 3D: Bundle
A comprehensive treatment of vector geometry in two and three dimensions.
There are also practice exercises (with detailed solutions) available at the back to practice the subject matter.
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Transformations of Curves: Bundle
An overview of transformations that can be applied to graphs of functions and to parametric curves.
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Tips for geometric proofs: Overview
A number of tips are given that you can use if you want to prove certain geometric properties.
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Character flow of a function: Bundle
The character progression of a function is explained. The character progression can be useful in motivating extreme values and inflection points as well as in solving inequalities.
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Stewart's theorem: Bundle
Stewart's theorem of plane Euclidean geometry is discussed. A number of consequences of this statement are also discussed.
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Sum and difference formulas for trigonometric functions: Bundle
A proof of the sum and difference formulas of the sine and cosine.
Moreover, all kinds of trigonometric properties are derived from these rules.Translated by
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