Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Curated Video
Adding Rational Numbers: Algorithms and Number Lines
This video clarifies that rational numbers include integers and demonstrates the rules for adding numbers with like signs and different signs. Through examples and visual representations on a number line, students learn how to determine...
Brian McLogan
Derivative of inverse function given an equation
👉 Learn how to find the derivative of the inverse 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...
Curated Video
Understanding Opposites on a Number Line
This video lesson explains the concept of opposites in numbers using a number line. It clarifies common misconceptions, such as assuming opposites are always negative or that 0 can have a positive or negative sign. The video demonstrates...
Brian McLogan
Eliminate the parameter to obtain a horizontal parabola
I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.I believe everyone can learn math and...
Curated Video
Exploring Horizontal Translations of Linear Equations
In this lesson, students will learn about horizontal translations of linear equations. They will explore the similarities and differences between two functions, F of X and G of X, and understand how the graphs of these functions are...
Brian McLogan
Understanding the discriminant as a part of the quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How do I graph a quadratic in standard form
👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Virtually Passed
Second Moment of Area Example 1
To find the second moment of area about the x axis use Ix = /int y^2 dA To find the second moment of area about the y axis use Iy = /int x^2 dA In this video I solve this problem using the double integral method (which is more robust)....
Curated Video
Solving Equations Involving Squares and Square Roots
In this lesson, students learn how to solve equations involving squares and square roots by using properties they already know. They discover that when solving one-step equations where the variable is squared, there will be two solutions...
Brian McLogan
Given a Complex Zero Use Synthetic Division to Find All of the Zeros for a Polynomial
👉 Learn how to find all the zeros of a polynomial given one complex zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Curated Video
Electrolysis of Aqueous Solutions and Purification of Copper
The video is a tutorial on electrolysis of aqueous solutions. The speaker introduces the basic rules for electrolysis of aqueous solutions and how to predict the products using those rules. The examples are given for different...
Curated Video
Deep Learning with Python (Video 17)
Deep learning is currently one of the best providers of solutions regarding problems in image recognition, speech recognition, object recognition, and natural language with its increasing number of libraries that are available in Python....
Curated Video
Finding Solutions through Intersection on a Graph
In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...
Curated Video
Exploring Function Notation
Explore the concept of renaming a function using function notation. They demonstrate how to determine if a graph is a function using the vertical line test and solve equations for Y to determine if Y is a function of X.
Brian McLogan
What is the definition of the inverse sine function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Virtually Passed
method of joints and method of sections animation
Method of joints analyse individual joints (any joint), whereas Method of sections analyse entire sections of the truss (any section). Make sure to include all external forces on your free body diagram.
Curated Video
Solving Inequalities with Negative Coefficients
In this video, the teacher explains the concept of solving inequalities containing negative coefficients. They discuss the importance of using the correct inequality sign and demonstrate an example where the sign needs to be switched to...
Curated Video
Adding Positive and Negative Numbers Using a Number Line
Review examples to understand how to move on the number line to find the sum. This video also introduces the commutative property and shows how it applies to addition with positive and negative numbers.
Brian McLogan
Finding an equation given a table of values using different operations - Cool math
👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear...
Brian McLogan
Determine the six trigonometric functions for a negative angle in radians
👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...
Brian McLogan
Learn how to find increasing decreasing intervals and extrema of a function
👉 Learn how to find the extreme values of a function using the first derivative test. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A method that can be...
Communication Coach Alex Lyon
Politeness Theory
Politeness Theory and Face (Goffman and Brown & Levinson) can help us have difficult conversations and communication effectively. This video gives examples of how positive and negative politeness sound in a conversation. Politeness...
Zach Star
The intuition behind Fourier and Laplace transforms I was never taught in school
This video covers a purely geometric way to understand both Fourier and Laplace transforms (without worrying about imaginary numbers).