Non-Newtonian Calculus (NNC)
Those of you who are budding scientists might be interested in this.
See Jane's tutorial "What is Slope?" to catch glimpse at what NNC is about.
Newton's calculus is based on linear functions (straight lines), whereas NNC, created by Robert Katz and Jane's husband Michael Grossman, is based on non-linear functions.
Non-Newtonian calculus has application in several areas of science, engineering, and mathematics. The most exciting applications so far have been in the areas of image analysis (e.g., in bio-medicine) , dark energy, and cancer treatment (radiation calculations).
Ongoing applications include growth/decay (e. g., in economics and biology), finance (e.g., rates of return), the theory of elasticity in economics, marketing, wave theory in physics, quantum physics and gauge theory, the economics of climate change, signal processing, atmospheric temperature (e.g., optical measure theory and inverse transfer theory), information technology, pathogen counts in treated water, actuarial science, tumor therapy in medicine, materials science/engineering, demographics, differential equations (including a multiplicative Lorenz system), calculus of variations, finite-difference methods, averages of functions, means of two positive numbers, weighted calculus, meta-calculus, least-squares methods of approximating, multivariable calculus, complex analysis, functional analysis, probability theory, utility theory, Bayesian analysis, stochastics, decision making, dynamical systems, chaos theory, and dimensional spaces. Applications continue to multiply, for regular updates please see Mike's website.
Seminars and courses on NNC have been held in universities and symposiums. In 2022 a textbook on NNC was published by CRC Press. Perhaps in the future you will take a course in it, and find applications too.
Michael Grossman's Website for Non-Newtonian Calculus
And/or click here to read/download these books (Free)
Jane's Videos that involve NNC
Lesson 1: Introduction to Non-Newtonian Calculus
Lesson 2: The Geometric Derivative
Michael Grossman Talks about Bigeometric Calculus