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...

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....

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...

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...

In this video, the teacher explains how to derive the quadratic formula by completing the square. The steps are broken down and explained clearly, making it easy for students to understand.

Review of the Simple Harmonic Motion topics covered in the AP Physics 1 curriculum.

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.

In this video, the teacher explains how to find the length of a diagonal without using a ruler. They demonstrate the concept by creating squares and counting the units inside and outside the square. The teacher also introduces the...

In this lesson, students learn how to solve quadratic equations by inspection. They review perfect squares and multiplying square roots, as well as common mistakes to avoid. Through examples, they learn to identify perfect square...

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

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...

In this video lesson, students will learn how to solve quadratic equations by completing the square when the coefficient of the squared term is not 1. The teacher explains the concept of perfect square trinomials and how to identify and...

In this video, the teacher explains how to solve a quadratic equation by completing the square. They demonstrate how to factor perfect square trinomials and how to create a perfect square trinomial from a non-perfect one. The teacher...

This video is a review of Two Dimensional Vectors. This video goes over applications of vectors. 3 examples are covered illustrating how to find the resultant force.

A conical pendulum is demonstrated and it’s angular velocity is determined.

e (Euler's Number) is seriously everywhere The strange times it shows up and why it's so important

in this video series I will show you how to find the angle of a vector when given in component form or as a linear combination. To understand the direction of a vector it is important to go back to the unit circle and determine how we...

By arranging definitions it's possible to find the value of our damping ratio and natural frequency in terms of our spring constant and damping coefficient.

In this lesson, students will learn how to find imaginary roots of quadratic equations using the square root property. They will review the vocabulary related to quadratic equations and the imaginary unit. Through examples and...

👉 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...

This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous...

Period of simple harmonic motion is defined and demonstrated. Equations for period of mass-spring systems and pendulums are given. What changes the period is demonstrated.

👉 Learn how to evaluate the limit of a function involving rational expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The...

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...