This video discusses what logarithms are and why we need them. It will look at logarithmic graphs and talk about natural logarithms.

What happens at infinity? - The Cantor set

Things get weird at infinity

This Free Response Question includes the following concepts: Electrostatic Forces, Gauss's Law, Electric Fields and work done on a charged particle when moving through an electric potential difference.<br/>

This Free Response Question includes the following concepts: Magnetic Forces, Current, Motional Emf, Newton's 2nd Law, Magnetic Flux, Electric Potential Difference, Current, Resistance, Electric Power, Terminal Velocity and using the...

This video goes over three examples, covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.

We've talked about the Schrödinger equation before, but we really didn't dig into it with any depth at all. Now it's time to really get in there and do the math. What is the Hamiltonian operator? What is the time-independent Schrödinger...

Polymer properties such as density, melt index, and melt flow rate must be kept within tight specifications for each grade. This case study is to analyze polymer production data to predict melt flow...

Separable Differential Equations for P-CHEM

Summary statistics give valuable insights as one of the first steps in data engineering after the data is gathered. Statistics help to assess data quality and diversity. Data discovery with statistics is a common first...

This video explains how to solve equations with exponential variables using natural logarithms. It covers the properties of natural logarithms and demonstrates how to find the value of the variable in different scenarios. The lesson also...

This video goes over three examples| covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.

Relating Equilibrium Constants: Kp and Kc (Keq)

In this video, I use the previously derived Clapeyron equation (previous video [link below]) to derive the Clausius-Clapeyron Equation.

Enzyme Kinetics (Reaction Velocities)

Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)

Plotting expressions is important to visualize data, relationships between variables, and perform analysis. Mathcad plotting allows visualization of variable values, functions, and data points. Included in this demonstration is common...

Calculating Keq from Free Energy

A frequent activity in data science and machine learning is to develop correlations from data. By importing the data into MATLAB, data analysis such as statistics, trending, or calculations can be made to synthesize the information into...

👉 Learn how to find the derivative of an implicit function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...

An introduction to logarithms.

Here I explain the basics thermodynamic parameters for mixing two liquids into a mixture.

In this lesson, students learn how to solve exponential equations when the base is not 10 or E by using logarithms. They are taught the property that the logarithm of a base to the X power is equal to X times the logarithm of the base....

👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...