Comments for MathPhys Archive
http://sunglee.us/mathphysarchive
The archive of my lecture notes on mathematics, physics and other related subjects.Sat, 22 Sep 2018 14:29:15 +0000hourly1https://wordpress.org/?v=4.9.6Comment on The Fundamental Theorem of Calculus by The Substitution Rule | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=1999#comment-495313
Sat, 22 Sep 2018 14:29:15 +0000http://sunglee.us/mathphysarchive/?p=1999#comment-495313[…] &=2(x^3+1)^{frac{3}{2}}+C, end{align*} where $C$ is an arbitrary constant. Now by Fundamental Theorem of Calculus, begin{align*} int_{-1}^1 3x^2sqrt{x^3+1}dx&=frac{2}{3}[(x^3+1)^{frac{3}{2}}]_{-1}^1\ […]
]]>Comment on Finding a Line Tangent to a Curve by Derivatives | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=542#comment-494512
Mon, 17 Sep 2018 17:00:42 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=542#comment-494512[…] As we discussed in the previous lecture, this is an extremely difficult problem to solve by using only algebra if not impossible. But […]
]]>Comment on How to Calculate Limits I by How to Calculate Limits III | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=257#comment-493597
Mon, 10 Sep 2018 14:41:44 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=257#comment-493597[…] (y=sin x) and (y=cos x) satisfy the same limit property as polynomial functions (Theorem 2 in Lecture 4). This is not a coincidence and the reason behind this is that polynomial functions, (y=sin x) […]
]]>Comment on How to Calculate Limits I by Continuity | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=257#comment-493595
Mon, 10 Sep 2018 14:39:15 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=257#comment-493595[…] the properties of limits (Theorem 1, Lecture 4), we obtain the following properties of continuous […]
]]>Comment on A Linear Algebra Problem on Twitter by John Lee
http://sunglee.us/mathphysarchive/?p=2605#comment-493466
Fri, 07 Sep 2018 18:02:26 +0000http://sunglee.us/mathphysarchive/?p=2605#comment-493466Excellent! Yes that works!
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