Brian McLogan
Simplifying an expression with fractional powers to take the derivative
👉 Learn how to find the derivative of a function using the power 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...
Curated Video
Writing Mathematical Expressions for Real Life Situations
In this video, the teacher explains how to represent real-life situations by writing mathematical expressions. They use examples of earning money over multiple weekends and calculating the cost of ice cream based on the number of scoops
Virtually Passed
Bayes' theorem alternative proof (using algebra)
There are many ways to prove Bayes' theorem. This is an alternative proof which is more algebra heavy and doesn't rely on a strong knowledge of conditional probability. I am an Engineer, not a medical professional. I chose the topic of...
Virtually Passed
Conservation of Mechanical Energy Proof (1DoF)
Here is a quick proof of the conservation of mechanical energy in a 1 dimensional system. Conservation of mechanical energy only exists if their are strictly conservative forces acting on the particle. If there are non conservative...
Curated Video
Finding Angle Measurements in a Triangle
In this lesson, students will learn how to find the measure of an angle in a triangle by using the other two angles. They will understand that the sum of the angles in a triangle is always 180 degrees.
Brian McLogan
How to use the properties of logs to expand an expression
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Write an expression as a single function using the sum and difference formulas
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Brian McLogan
Evaluate the identity using sum and difference formula
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
How to determine the degree and leading coefficient given the graph of a polynomial
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Curated Video
Completing the Square with a Model for Quadratic Expressions (A > 1)
Using a model, this video demonstrates how to rearrange the expression to form a square and determine the dimensions. It also emphasizes the misconception that x * x equals 2x, clarifying that x * x actually equals x squared. Through...
Virtually Passed
Rotating Unbalance Summary
This is the equation of motion for a block connected to a rotating mass.
Brian McLogan
The value k that makes the piecewise function continous
👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some point or at some interval, we fill the hole at the point or over the interval by looking for the value of the...
Brian McLogan
Learn how to find the fifth term of a binomial expansion using pascals triangle
👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Brian McLogan
Evaluate the integral using u substitution of a expression to the fourth power
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Learn to solve a system of equations with no solution by substitution
👉Learn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Catalyst University
QM Applications: Particle-in-a-Box (Derivation)
QM Applications: Particle-in-a-Box (Derivation)
Brian McLogan
How to use the properties of logs to condense an expression
👉 Learn how to condense logarithmic expressions using the power rule. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions...
All Ears English
All Ears English Podcast 1506: Haven't Learned Enough Slang? Better Late Than Never
All Ears English Podcast 1506: Haven't Learned Enough Slang? Better Late Than Never
Brian McLogan
Learn to add and subtract radical expressions
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Adding, subtracting, multiplying and dividing two functions
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Barcroft Media
I've Spent £20,000 To Look Like A Porcelain Doll | HOOKED ON THE LOOK
DRESSED in a frilly pink dress with knee high socks, a furry headband around her platinum blond hair and full eyelashes, 21-year-old Jade Smith looks more like a porcelain doll than a real life person – and that’s exactly the look she’s...
Curated Video
Julia for Data Science (Video 4)
Julia is an easy, fast, open source language that if written well performs nearly as well as low-level languages such as C and FORTRAN. Its design is a dance between specialization and abstraction, providing high machine performance...
Curated Video
Completing the Square in Quadratic Expressions with Leading Coefficient Not Equal to 1: Area Model
In this video, the teacher uses area blocks to visually represent the polynomial and demonstrates how to rearrange the blocks to form completed squares. By adding and subtracting blocks, the teacher shows how the expression can be...