Brian McLogan
Learn how to identify the domain by combining 2 functions, sine and radical function
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Flipping Physics
Velocity as a function of Position in Simple Harmonic Motion
The velocity as a function of position of a horizontal mass-spring system is derived, graphed, and demonstrated. This is an AP Physics C: Mechanics topic. Content Times: 0:00 Simple Harmonic Motion Review 0:34 Total Mechanical Energy...
Brian McLogan
How to determine the domain of the sum of two functions
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Flipping Physics
What is the Maximum Speed of a Car at the Top of a Hill?
What is the maximum linear speed a car can move over the top of a semi-circular hill without its tires lifting off the ground? The radius of the hill is 1.8 meters.
Zach Star
Physics Vs Math - How to Pick the Right Major
This video is about physics vs math and how to know which major is right for you. You may have enjoyed them both in high school so of course you may want to major in one in college. The good news is that if you major in physics then you...
Why U
Algebra 77 - The quadratic formula
Before the method of completing the square was developed, only very limited types of quadratic equations could be solved. This method eliminated those limitations, allowing the solutions of any quadratic equation to be found. As...
Curated Video
Solving Quadratic Equations Using the Quadratic Formula
This video lesson teaches students how to solve quadratic equations using the quadratic formula. It explains the concept of finding where a quadratic crosses the x-axis and how to set up the equation to find the solutions. The video also...
Brian McLogan
Learn the basics to eliminate the parameter problem
Learn how to eliminate the parameter in a parametric equation. A parametric equation is a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as parameters. Eliminating the...
Brian McLogan
How to solve a differentialble equation by separating the variables
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Curated Video
Exploring Horizontal Scaling of Quadratic Equations
In this lesson, students will learn about horizontal scaling of quadratic equations. They will explore how the functions F of X, G of X, and H of X are alike and different, and how the value of "a" in the vertex form of the equation...
Curated Video
Finding Heights and Lengths Using the Pythagorean Theorem
In this video, the teacher explains how to find the height of a building and the length of a television using the Pythagorean theorem. They review the formulas for the theorem and demonstrate how to round square roots to the nearest...
Curated Video
Finding the Center and Radius of a Circle Using the Equation
In this video, mathematicians learn how to find the center and radius of a circle by analyzing its equation. The video explains the key components of a circle, such as the center and radius, and then breaks down the standard form of a...
Brian McLogan
Three examples for how to use the power rule
👉 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...
Brian McLogan
Finding the derative of a function using the power rule
👉 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...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 5 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system.This video covers two basic examples requiring the use of the distance formula in three dimensions. In addition, the equation of a sphere is also...
Brian McLogan
Learn how to add two functions and evaluate and determine domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
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.
Flipping Physics
Dropping a Ball from 2.0 Meters - An Introductory Free-Fall Acceleration Problem
In this introductory free-fall acceleration problem we analyze a video of a medicine ball being dropped to determine the final velocity and the time in free-fall. Included are three common mistakes students make. "Why include mistakes?"...
Brian McLogan
Eliminate the parameter to obtain a radical function
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...
Curated Video
Determining Real or Imaginary Solutions of Quadratic Equations with No Linear Term
In this lesson, you will learn how to determine whether the solutions of a quadratic equation with no linear term are real or imaginary. By isolating the quadratic term and considering the square roots involved, you can determine if the...
Curated Video
Solving Quadratic Equations by Completing the Square
In this video lesson, you will learn how to solve any equation of the form x squared plus bx plus c equals 0 by completing the square. The teacher explains the steps involved in completing the square and demonstrates with examples....
Curated Video
Understanding Quadratic Roots: Analyzing the Discriminant
In this video, the teacher explains how to determine the nature of the roots of a quadratic equation by examining the discriminant. The discriminant is the part under the square root in the quadratic formula, and its value can indicate...
Flipping Physics
Introductory Conservation of Mechanical Energy Problem using a Trebuchet
Learn how to use the Conservation of Mechanical Energy equation by solving a trebuchet problem.
Professor Dave Explains
Position and Momentum Operators in Quantum Mechanics
We've learned a bit about quantum mechanics from a strictly conceptual and qualitative standpoint. But now it's time to dig a little deeper. Quantum mechanics is mathematics, so if we want to understand it on a fundamental level, we have...