Audio Math

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

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

<p>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!</p>

<p>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.</p>

<p>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.</p>

<p>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...

<p>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...

<p>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!</p>

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

<p>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...

<p>Going to get into the change of base rule for logarithms and really understand it!</p>

<p>Really great episode on logarithms, their rules and continuous exponential growth. There are easy problems to start and get warmed up, followed by tougher problems to increase understanding. Enjoy!</p>

<p>Say there is a blob that is tripling in mass every month, expressed as 3^t. Is there consistent doubling with this phenomenon??</p>

<p>Going to discuss exponential growth and decay!</p><p><br></p><p>Will talk about discrete and continuous cases for both. Will walk through examples and the math that powers them!</p><p><br></p><p>Note: Early on I...

<p>This is a series on modeling the position of a mass on a spring at any time.In this part 3, the discovered "spring mass position" solution will be used to see how the mass will behave given specific initial...