What is Calculus? - Derivatives, Integrals, and Differential Equations

Shareable link to the document (has all of the mathematical examples that will be discussed in both this episode and the following episode): https://docs.google.com/document/d/1VfEVBscCPTfoyTDyv4ZRFJYL9Luzyd1UHvjxzz-uwpg/edit?usp=sharing References: Derivative - Wikipedia https://en.wikipedia.org/wiki/Derivative Power Rule - Wikipedia https://en.wikipedia.org/wiki/Power_rule All derivative calculations were checked using this website https://www.derivative-calculator.net/ Product Rule - Wikipedia https://en.wikipedia.org/wiki/Product_rule Quotient Rule - Wikipedia https://en.wikipedia.org/wiki/Quotient_rule Chain Rule - Wikipedia https://en.wikipedia.org/wiki/Chain_rule Integral - Wikipedia https://en.wikipedia.org/wiki/Integral Line Integral (AKA a Contour Integral in Complex Analysis) - Wikipedia https://en.wikipedia.org/wiki/Line_integral All integral calculations were checked using this calculator (can also calculate derivatives, but I was not near the calculator when I was working on the derivative portion of the chapter): https://www.amazon.com/Texas-Instruments-TI-84-Graphing-Calculator/dp/B00TFYYWQA Reverse Power Rule - KhanAcademy https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-8a/e/intro-to-integration Riemann Integral - Wikipedia https://en.wikipedia.org/wiki/Riemann_integral Fundamental Theorem(s) of Calculus - Wikipedia https://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus Differential Equation - Wikipedia https://en.wikipedia.org/wiki/Differential_equation Partial Differential Equation - Wikipedia https://en.wikipedia.org/wiki/Partial_differential_equation