Brian McLogan
Learn to basics of eliminating the parameter with sine and cosine
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...
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?"...
Curated Video
Solving Systems of Equations by Elimination
In this video lesson, students will learn how to solve systems of equations using the elimination method. The lesson explains the concept of systems of equations and the importance of finding exact solutions. It demonstrates how to...
Curated Video
Adding Equations in a System: Commonalities in Tables and Graphs
In this lesson, students will learn what happens when equations in a system are added together. By observing tables of values and graphs, they will understand that adding two linear equations creates a new system with the same solution...
Brian McLogan
Find the values a and b that make the function differentiable
👉 Learn how to determine the differentiability of a function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is...
Flipping Physics
Dart with Thin Rod Collision - Conservation of Angular Momentum Demonstration and Problem
A 5.3 g dart is moving vertically at 16.5 m/s just before it collides with and sticks to a 33.9 cm long, thin piece of cardboard. If the dart hits the 71.8 g piece of cardboard 28.7 cm from its fixed end, to what maximum angle does the...
Flipping Physics
AP Physics 1: Kinematics Review
Review of all of the Kinematics topics covered in the AP Physics 1 curriculum. Plus some bonus introductory stuff.
Brian McLogan
Evaluate the limit of a piecewise function with jump discontinuity
👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
APMonitor
Solve Nonlinear Equations with Excel
Microsoft Excel is used to solve a set of nonlinear equations with the Excel solver add-in.
Curated Video
Writing Quadratic Equations Using Points on the Parabola
In this video, the teacher explains how to write the equation of a parabola using different methods. They also demonstrate how to solve systems of equations and find the vertex of a parabola. The video concludes by applying these...
Brian McLogan
Learn how to eliminate the parameter with trig
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...
Curated Video
Understanding Quadratic Expressions and Equations
In this video, the teacher explains the difference between quadratic expressions and quadratic equations. They use examples, such as a roller coaster path and building a patio with a brick border, to illustrate the concepts. The teacher...
Zach Star
Dear Calculus 2 Students, This is why you're learning Taylor Series
Dear Calculus 2 Students, This is why you're learning Taylor Series
Curated Video
Testing Solutions to Systems of Equations
In this video, the teacher explains how to determine if a pair of numbers is a solution to a system of linear equations. By systematically testing values, the teacher demonstrates how to find the values of X and Y that satisfy both...
APMonitor
Solve Nonlinear Equations with Microsoft Excel
The GRG (Generalized Reduced Gradient) solver in Excel can be used to solve sets of nonlinear equations. The nonlinear functions are input as cells and equation residuals are minimized. Functions can either be included as equality...
Curated Video
Identifying Systems of Equations with No Solutions
In this lesson, students will learn how to identify systems of equations with no solutions. They will understand that a system of equations is when two or more equations have the same variables and values. Through graphical and algebraic...
Why U
Algebra 68 - Converting Between General and Vertex Form
A quadratic function can be written in general form or in vertex form. But given a quadratic function in one of these forms, how can we convert to the other form? This lecture shows how conversion formulas between these two forms can be...
Curated Video
Finding X-Intercepts of Quadratic Functions by Factoring
In this video, the teacher explains how to find the x-intercepts of a quadratic function by factoring. They clarify the difference between y-intercepts and x-intercepts and demonstrate how to use the zero product property to find the...
Curated Video
Finding the X Coordinate of the Intersection of Two Equations
In this video, the teacher explains how to find the X coordinate of the point of intersection of two equations without graphing or making a chart. They review slope intercept form and explain how to determine the slope and Y intercept....
Flipping Physics
Determining the Force Normal on a Toy Car moving up a Curved Hill
A 0.453 kg toy car moving at 1.15 m/s is going up a semi-circular hill with a radius of 0.89 m. When the hill makes an angle of 32° with the horizontal, what is the magnitude of the force normal on the car?
Curated Video
Understanding the Influence of Multiplying Equations by Constants on Graphs
In this video, the teacher explains how multiplying an equation by a constant affects the equation and its graph. They define constants and variables, and show how multiplying every term in an equation by a constant produces an...
Brian McLogan
Learn to eliminate the parameter
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...
National Institute of Standards and Technology
A Conversation with Dr. John Cahn
On June 24, 2011, it was announced that NIST Emeritus Senior Fellow Dr. John Cahn had been selected to receive the 2011 Kyoto Prize in Advanced Technology for his fundamental contributions to the study of materials. In this interview,...
Curated Video
Solving Division Problems Using Inverse Operations
In this lesson, mathematicians learn to solve division problems by using inverse operations. They understand that division is the reverse of multiplication, as it separates or breaks a group into parts.