Catalyst University
Separable Differential Equations for P-CHEM
Separable Differential Equations for P-CHEM
APMonitor
Data Engineering Summary Statistics
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 activity and there...
Curated Video
Using Natural Logarithms to Solve Exponential Equations
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...
Math Fortress
Calculus II : Integration By Parts (Level 5 of 6)
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.
Catalyst University
Relating Equilibrium Constants: Kp and Kc (Keq)
Relating Equilibrium Constants: Kp and Kc (Keq)
Catalyst University
Phase Diagrams | The Clausius-Clapeyron Equation [Derivation Pt. II]
In this video, I use the previously derived Clapeyron equation (previous video [link below]) to derive the Clausius-Clapeyron Equation.
Catalyst University
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
Catalyst University Math: Proof of the Derivative of Ln(x) (From Definition)
APMonitor
MathCAD Graphing and Calculus
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...
APMonitor
Regression with MATLAB fmincon
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...
Brian McLogan
Take the natural log of both sides to implicitly derive the equation
👉 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...
Professor Dave Explains
Logarithms Part 2: Base Ten Logs, Natural Logs, and the Change-Of-Base Property
An introduction to logarithms.
Catalyst University
Thermodynamic Parameters for Mixing (ΔG, ΔS, ΔH, ΔV)
Here I explain the basics thermodynamic parameters for mixing two liquids into a mixture.
Curated Video
Solving Exponential Equations with Logarithms
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....
Brian McLogan
Using the chain rule to take the derivative with the natural logarithm
👉 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...
Brian McLogan
Expanding the logarithm so that you can take the derivative
👉 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...
Brian McLogan
How the properties of logarithms can help you take the derivative
👉 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...
Catalyst University
Real Gas Behavior | The Hard Shell Model [Example #2]
In this video, we work with the Hard Shell gas mode to calculate the work done by an expanding gas. Uses integration calculus.
Brian McLogan
Applying the chain rule with natural logarithms
👉 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...
Brian McLogan
Taking the derivative of natural log with chain rule
👉 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...
Brian McLogan
Using the power rule of logarithms to take the derivative of a natural log
👉 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...