Life and Christian Faith Archives - Infinity is Really Big

July 19, 2021July 19, 2021

Complex Numbers are Real

Complex Numbers are Beautiful Too

Real Analysis Study Help for Baby Rudin, Part 1.7

Complex numbers can be represented either using Cartesian coordinates or polar coordinates. The geometric interpretation of complex multiplication is very beautiful using polar coordinates.

Are imaginary numbers real? After all, why are they be called “imaginary”? Doesn’t this name imply that they don’t exist? To

… Read the rest

January 14, 2020January 14, 2020

Applied vs Pure Mathematics

Calculus 2, Lecture 1 (Videotaped Fall 2016)

Population modeling is an important part of applied mathematics in calculus. It is a good example to start with in looking at the nature of applied vs pure mathematics. — Population modeling is an important part of applied mathematics in calculus.

Calculus is at the heart of much of modern mathematics and its applications. Its discovery by Newton and Leibniz sparked the scientific revolution and enlightenment of the 1600’s and 1700’s and brought about our modern world.

Throughout mathematical history, … Read the rest

September 9, 2019February 19, 2021

The Big Ideas of Calculus

Calculus 1, Lecture 1

The area of a circle can be found with the Infinity Principle. This is described by Steven Strogatz in his book Infinite Powers.

Calculus is often described as the mathematics of change. In terms of a short description, this is apt.

You might even say this description gives us a view of the big … Read the rest

March 13, 2019March 13, 2019

New Video: Immunization, Part 7

Balancing Cashflows is Good, Prioritization of God in Life is Even Better

My newest video continues my series on financial mathematics for actuarial exam 2/fm preparation (it is Video #175 of that series). It also continues the topic of the latest videos, which is immunization of liability cashflows by asset cashflows.

Furthermore, I continue to make use of a spreadsheet … Read the rest