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