Brian McLogan
How to find the domain of a rational function - domain and range
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Curated Video
Complete Python Scripting for Automation - Arithmetic and Assignment Operators
Operators of Python: Arithmetic and Assignment Operators This clip is from the chapter "Operators of Python" of the series "Complete Python Scripting for Automation".You will learn about various operators of python like Arithmetic and...
Math Fortress
Differential Equations: Families of Solutions (Level 4 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions,...
Curated Video
Completing the Square: Algebraic Method for a > 1
In this video, the teacher explains how to complete the square when the coefficient of the quadratic term is greater than one. They demonstrate the process using algebraic steps and provide examples for better understanding.
Curated Video
Translating Numerical Expressions: Describing Operations in Words
In this video, the teacher explains how to translate numerical expressions into verbal descriptions. They provide examples of different ways to describe addition, subtraction, multiplication, and division operations.
Brian McLogan
How to simplify the difference quotient of a function
👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the...
Curated Video
Using the Sharing Model to Solve Division Story Problems
In this video, students learn how to turn a division expression into a story problem using the sharing model. By visualizing the division problem as a sharing scenario, students can better understand the meaning of the dividend, divisor,...
Math Fortress
Calculus II : Integration By Parts (Level 6 of 6)
This video goes over two examples| covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically| integration by parts and u-substitution.
Virtually Passed
Optimal Path Around Quicksand - Math Puzzle (HARD)
What is the optimal path to travel from start to finish in the least time? Your speed is = the distance you are from the pit. Here I show one optimal path! #SoME1 Timestamps: 0:00 - Introduction & Question 0:52 - Total Time: Cartesian...
Math Fortress
Calculus III: The Dot Product (Level 6 of 12)
This video goes over the dot product also known as the scalar product. This video goes over 5 Intermediate level examples that require the use of dot product.
Brian McLogan
Use the quotient rule inside of the chain rule
👉 Learn how to find the derivative of a function using the chain rule. 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...
Brian McLogan
Learn to use the properties of logarithms to take the log of the expression
👉 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
Learn how to write the domain of a rational function using interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Second derivative of a rational expression
👉 Learn how to find the higher derivative of a 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 function...
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.
Curated Video
Completing the Square with a > 1: Using Models and Symbols
Learn how to complete the square with or without a model when the coefficient of x^2 (a) is greater than one. Explore the process step by step, using both an area model and the traditional method. By comparing the two approaches, you...
Brian McLogan
Take the derivative of exponential with negative power
👉 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...
Curated Video
Simplifying Expressions with Parentheses
Understand the importance of following the order of operations and how to identify which operations to do first by using parentheses. By using this technique, students can simplify complex expressions and solve them correctly.
Curated Video
Simplifying Algebraic Expressions by Combining Like Terms
In this video, the teacher explains how to simplify algebraic expressions by combining like terms. They provide examples and visuals to help students understand the concept. The lesson emphasizes the importance of coefficients and...
Catalyst University
The Acid-DIssociation Constant (Ka) and pKa
The Acid-DIssociation Constant (Ka) and pKa
Curated Video
Solving Multistep Word Problems with Positive and Negative Decimals
In this lesson, students will learn how to solve multistep word problems involving positive and negative decimals using mathematical reasoning. They will be guided through an example problem where a student named Henry wants to purchase...
Professor Dave Explains
Gauss’s Law for the Magnetic Field
We've covered Gauss' Law for the Electric Field, but what about the magnetic field? That's covered in the second of Maxwell's equations, which we'll discuss in this video. Gauss' Law for the Magnetic Field displays the simplest facts...