The Product RuleTo differentiate the product of two functions, multiply each function by the differentiated function of the other. Then, sum the two…Sep 21, 2022Sep 21, 2022
Calculus Cheat Sheet (Derivatives)Definition, Notation, Methods, and Well Known IdentitiesSep 21, 2022Sep 21, 2022
The Fundamental Theorem of Calculus“There have been several occasions in the history of mathematics when an important discovery was made independently and almost…Feb 11, 20223Feb 11, 20223
The Algebra and Geometry of Complex Numbers (Part 1)In this first installment of a brief series covering complex numbers we share a little history, give a brief explanation of the complex…Feb 3, 20221Feb 3, 20221
Anti-differentiation and the Indefinite IntegralWhen taking the anti-derivative of a polynomial, the result is a set of functions that differ by a constant. We call this set the general…Jan 31, 20222Jan 31, 20222
Summation and the Definite IntegralIntegration is a mathematical operation that sums an infinite collection of infinitesimally small values.Jan 21, 20221Jan 21, 20221
Notes on the Exponential Function: Growth and Decay : A Differential EquationMany quantities that change over time demonstrate exponential growth or exponential decay. For example, populations grow exponentially …Jan 21, 2022Jan 21, 2022
Notes on Gaussian functions, the Gaussian integral, and the Normal DistributionJan 19, 2022Jan 19, 2022
Differentiation and DerivativesDifferentiation is the process used to find a derivative. It involves finding a function whose value at every point is equal to the slope…Jan 6, 2022Jan 6, 2022
The Rocket EquationGetting out of Earth’s gravity well and into orbit is hard. Apparently, it’s all about the ΔV.Dec 28, 2021Dec 28, 2021
