Cornerstones of Math
Features quality math problems to strengthen your math fundamentals and problem-solving ability.
Problems are generally on high school level (with some deviations), spanning over topics such as algebra, discrete mathematics, calculus, geometry, statistics, trigonometry, etc.
Hope that this channel provides some intellectual pleasure and make you appreciate the beauty of math itself.
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Cornerstones of Math
When it comes to math videos, what makes you click on them?
1 week ago | [YT] | 0
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Cornerstones of Math
[Hyperbola Rotation Quiz]
Probably much easier than my previous ellipse rotation quiz. Consider a hyperbola x²/a² － y²/b² = 1 (a,b＞0) on xy-plane. X is the surface of revolution obtained by revolving this hyperbola around x-axis, and Y is the surface of revolution obtained by revolving this hyperbola around y-axis. Are two surfaces X and Y the same? Or are they generally different?
2 weeks ago | [YT] | 1
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Cornerstones of Math
[Ellipse Rotation Quiz]
Consider an ellipse x²/a² + y²/b² = 1 (a,b＞0) on xy-plane. X is the solid of revolution obtained by revolving this ellipse around x-axis. Y is the solid of revolution obtained by revolving this ellipse around y-axis. What can be said about the comparison between two solids X and Y? Are they always the same? Or are they generally different?
3 weeks ago | [YT] | 1
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Cornerstones of Math
Who do you think benefited the most by the invention of LOGARITHMS?
(aside from mathematicians)
1 month ago | [YT] | 1
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Cornerstones of Math
[Thumbnail font poll]
Which typeface do you think is easier to read in THUMBNAILS for YouTube videos?
A serif typeface is the typeface that make use of "serifs" - a small line or stroke regularly attached to the end of a letter. A famous example of serif typeface is Times New Roman.
A sans-serif typeface is the typeface without serifs, examples being Ariel, Helvetica, etc.
1 month ago | [YT] | 0
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Cornerstones of Math
[QUIZ] 9×11×101×10001 is equal to:
1 month ago | [YT] | 0
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Cornerstones of Math
Among the following formulas of derivatives and integrals of exponential and logarithmic functions, which one do you think is the LEAST worth memorizing?
Here, log_a(x) means "log base a of x," and a is a positive constant (a ≠ 1 if it is the base of a logarithm).
In case you wonder about their derivations, they can all be derived from the derivative and integral of e^x and lnx, along with additional properties a = e^(lna) and log_a(x) = lnx/lna.
1 month ago | [YT] | 0
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Cornerstones of Math
Do my videos contain "pauses" of appropriate lengths between explanations?
2 months ago | [YT] | 0
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Cornerstones of Math
[QUIZ] How many EVEN natural numbers have exactly THREE positive divisors?
2 months ago | [YT] | 0
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Cornerstones of Math
The following are some unit fractions that are expressed as infinite decimals and their respective approximate percentage values. Which percentage do you think is most useful to memorize?
Unit fractions expressed as finite decimals (e.g. 1/2, 1/4, 1/5, 1/8, etc.) are not listed.
2 months ago | [YT] | 0
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