Test statistics allow us to quantify how close things are to our expectations or theories. Instead of going on our gut feelings, they allow us to add a little mathematical rigor when asking the question: “Is this random… or real?” Today,...

Get ready to crush the AP Physics 1 exam with this complete 30-minute review of the entire course! This video covers every major topic from Units 1 through 8, including kinematics, dynamics, energy, momentum, rotation, harmonic motion,...

We just looked at some simple ways to solve systems of differential equations, via modeling and elimination. But there are other methods, some of which involve matrices. This will require that we remember some concepts from linear...

We've looked at a few simple examples of first-order differential equations and how to solve them. Now let's take a look at exact first-order differential equations.

We just got our feet wet with separable differential equations, so now let's look at something slightly trickier. Solving linear first-order differential equations will require a little bit more effort, involving something called an...

In this video, a teacher reveals the mathematical logic behind three popular number tricks involving doubling, adding, and subtracting digits. Viewers are encouraged to use their logic and math skills to solve these puzzles and share...

In this next episode, Mr. P guides us through the culmination of electromagnetic knowledge – Maxwell's equations. After a quick recap of Gauss's law and its magnetic counterpart, the class dives into Faraday's law of induction, unveiling...

This is the fifth video on the equations of lines and planes video series. In this video we derive the vector equation of a plane, the scalar equation of a plane and parametric equations of a plane in space.

In this video, the teacher explains how to solve a quadratic equation that has no real solutions using the quadratic formula. The video also covers a review of imaginary and complex numbers, as well as a common mistake to avoid when...

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...

In this video, the teacher explains how to solve quadratic equations using the quadratic formula. They highlight common mistakes to avoid, such as squaring negative numbers and correctly identifying the coefficients.

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...

In this video, the teacher explains how to find the center and radius of a circle when the equation is in general form. By using the process of completing the square, the teacher demonstrates how to transform the equation into standard...

In this lesson, students will learn how to graph shifted exponential and logarithmic functions by considering the spread of an Internet video. They will understand how changing the base affects the rate of growth or decay, and how...

In this video we will learn about the Relationship Between Zeroes And Coefficient of Polynomials. This video will cover topics such has General form, Sum of Zeroes, Product of Zeroes, Sum of product of Zeroes and solve some problems .

Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...

Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...

Learn how to graph vertical ellipse which equation is in general form. A vertical ellipse is an ellipse which major axis is vertical. When the equation of an ellipse is written in the general form, we first rewrite it in standard form...

Rewriting a polar equation in rectangular form

Learn how to graph vertical ellipse centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius...

Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...

Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major...

In this video series I will show you how to write the equation and graph hyperbolas. Hyperbolas on a graph represent two parabolas facing away from each other but the definition of a hyperbola is the difference between the distance of a...

In this video, a teacher reveals the mathematical logic behind three popular number tricks involving doubling, adding, and subtracting digits. Viewers are encouraged to use their logic and math skills to solve these puzzles and share...