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Podcast episodes

Check latest episodes from Audio Math podcast

2nd Order Derivative Problem and Linearity

2026/04/01

Will solve and play around with a second order derivative problem that includes word problem intuition using population growth. Think acceleration! Includes linearity practice and analysis.

Linearity And Linear Operators

2026/03/26

Will discuss the powerful concept of linearity and introduce linear operators! After introduction to concepts, will use linearity to solve an equation for rabbit population growth in the much discussed rabbit and fox pop growth problem.

Linear Algebra 5 - Raising E To A Matrix

2026/03/21

Will discuss raising Euler's number E to a matrix, very cool stuff! Plus will do a follow-up on dominant eigenvector behavior.

Linear Algebra Part 4

2026/03/14

Will discuss matrix to matrix multiplication, dot product operation and inverse matrices, enjoy!

Linear Algebra Part 3 - Eigenvectors and Eigenvalues

2026/03/12

55 min episode that dives into very fun topic of eigenvectors and eigenvalues. There are quite a few word problems that will be solved and discussed!

Linear Algebra Part 2 - Linear Transformations And More

2026/03/12

Will discuss main topic of linear transformations then follow it up with determinants and linear systems of equations, enjoy!

Linear Alebgra - Part 1 - Vectors and Linear Combinations

2026/03/10

Will begin discussion of the massive linear algebra math subject! First up, what are vectors and linear combinations??

The Idea Behind This Podcast

2026/03/04

Will discuss the idea behind this podcast, which is to relearn math in a completely new way that emphasizes mental math and doing math away from the desk! It is part science project and part accessibility project!

User Guide and Pre-Calculus

2026/03/04

Will give guidance on how to listen to this podcast and what episodes to start on given your math background. Also will do a crash course in pre-calculus math needed for any episode.

E-Based Exp Growth - Short And Sweet

2026/03/02

Will share my favorite way to understand exponential growth and how this reveals the importance of Euler's number "e". And discuss how e^x and natural log functions are two sides of the same coin.

Rocket Science Problem

2026/02/23

Let's do a rocket science problem! Will calculate accumulated velocity of a rocket from takeoff and include the rocket changing mass due to fuel burning. Will use change of variable to solve things. As always, will focus on finding deeper meanings!

Change of Variable Intro

2026/02/17

Let's see how change of variable or u-substitution can be done to a simple integral problem. Change of variable is a powerful tool for simplifying harder integrals, but this episode will be for intro to change of variable. Will do a follow-up episode using change of variable to simplify a more difficult rocket science problem.

Calculus Intro Part 2 - The Integration Process

2026/02/08

We discuss the integration process in this part 2 of calculus intro, which is about taking a derivative function and using it to compute back the original accumulation function. Enjoy!

Calculus Intro Part 1 - The Derivative Function

2026/02/08

This episode dives into calculus! In this part 1, we discuss the main ideas behind calculus and then focus on the derivative function.

The Natural Log Derivative - The Reciprocal Function

2026/02/03

Let's deeply investigate the natural log function and its derivative function, which is the reciprocal function 1/x. Very cool findings in regards to logarithm consistent shift trait and reciprocal function scale invariance trait. Also will discuss logs of any base and their derivative, which is just a reciprocal function transformation.