Welcome to Qubit Factory!
The Repository of Knowledge (see RoK information page) is a database of academic content that currently holds my personal intellectual items. This website hosts the part of the RoK called “(2011-2012) AP Calculus AB” and presents a chronological viewpoint of my adventures in calculus over the past year. Since 2011, I have been creating short “tips” about limits, derivatives, and integrals, and these tips are now posted online for all to see. After all, the RoK is eventually slated to become public in its entirety.
The “Tips” series constitutes a large portion of the sub-repository for calculus knowledge, and its primary purpose is to provide an outlet for the quick-but-formal review of calculus topics. Click the buttons below to go to the individual tip sections (Note: articles may emerge in reverse chronological order):
Additionally, here are some highlights from the tip series that you may enjoy:
Derivatives #15: A generalization of the Chain Rule in one variable.
Derivatives #33: A proof that cubic functions only have one point of inflection.
Derivatives #48: The visual pitfalls of L’Hopital’s rule.
Integration #9: A clear definition of the area problem and why integrals are needed to solve it.
Integration #21: The process of u-substitution.
Integration #66: Derivation of the Rate Law equations from chemistry.
Integration #72: Infinite integrations of an integrand product and of kinetic energy.
Physics #47: Derivation of the Master Equation for the Simple Harmonic Oscillator
Integration #93: The Exclusion Integral
Integration #96: Discretization of the Exclusion Integral to form the Discrete Exclusion Summation
Recent Excursions in Calculus and Physics
In this section I’ll create hyperlinks to my favorite new posts that are not part of the original tip series. Enjoy!
20120829: Multiple Integrations of Sine
20120829: Generalization of the Multiple Integral
20120823: On the Calculus of Cis
On a final note, it is important to note that the chronological progression of these calculus tips reflects my thought patterns. As a result, the mathematics in some tips may be incorrect. I will strive to correct any errors that I realize after posting a given calculus tip.
I hope you enjoy the Calculus and Physics Tip Series!