Видео

This video explains how to determine the age of an artifact using the half-life of carbon-14. A brief explanation radioactive decay is presented and how this relates to half-life.

In this video I give a proof of the formula for a geometric series.

In this video I explain how to evaluate piecewise-defined functions.

This video explains how to find the solutions to a differential equation which has complex roots in it's characteristic equation.

This video shows you how to graph a logarithmic function using information gained from the intercepts, transformations, and horizontal asymptote.

This video explains how to integrate over a summation. I also show that the closed form antiderivative is equivalent to the integral over the summation by doing summation algebra. Last, I show how to find the antiderivative of a function we're not able to do using the by parts method used on the similar example.

This video shows you how to create the Maclaurin series for both the hyperbolic sine and hyperbolic cosine functions. Last, we verify that the sum of the function is equal to e^x using their definition and their equivalent power series.

In this video I explain what a basis is for a topology and how it can be more practical to use rather than listing the topology itself.

In this video I discuss the case in which the characteristic equation of a differential equation has a root which is repeated.

Indefinite integral of the natural exponential function using a Taylor series

What is an Infinite Set?

What is a Finite Set?

Taylor Series for the natural exponential

The Characteristic Equation of a Differential Equation: Distinct Real Roots (Video 2 of 4)

How to integrate the tangent cubed of x

Condensing and Expanding the Logarithm

The Characteristic Equation of a Differential Equation (Video 1 of 4)

t translation and unit step function

Evaluating logarithmic expressions

First translation theorem for Laplace transforms and solving differential equations

Synthetic Division

Does this function have two unique general antiderivatives?

Textbook Review: Precalculus: A Rigorous, Yet Student-Friendly Approach

How to integrate secant cubed and how to integrate tangent squared times secant.

Newtons law of cooling. How long can you let your turkey rest?

How to Prepare for Graduate School for Mathematics

Factoring Quadratic Form Trinomials

Solving Differential Equations using Laplace Transformations

Two slightly different u-substitutions to arrive at the same antiderivative