What is Calculus? - Derivatives, Integrals, and Differential Equations
Manage episode 297195964 series 2902423
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
65 episodes