This video goes over the dot product also known as the scalar product. This video goes over 3 challenging examples that require the use of dot product.

This video will teach you how to find the derivative of functions formed by products of functions by using the product rule. An example involving the product of three functions is also illustrated.

In this video, the teacher explains how to predict the number of solutions in linear equations by identifying key features. They demonstrate examples of equations with one solution, no solutions, and infinitely many solutions,...

Complex Mechanisms: Pre-Equilibrium Approximation

This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify general solutions of ordinary differential equations.

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.

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...

In this video, students learn how to describe the relationship between expressions involving fractions or decimals without actually calculating them. The teacher explains the common misunderstandings of multiplication and division,...

This video continues illustrating methods for solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain products of sine and cosine with distinct arguments (angles). This video...

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...

In this video, the teacher explains how to simplify expressions by using distribution and combining like terms. They provide examples and review the concept of finding the perimeter of a rectangle. The lesson emphasizes avoiding common...

In this video, we learn how to relate changes in the edges of a cube to changes in its volume using polynomial equations. We explore the concept of polynomial identities and how they can be used to simplify expressions and find the new...

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

This is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom.



The equation of motion...

If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.

This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.

The power of words is a wonder, and language perhaps our greatest skill. Yet the gap between the sound of a bell and its description is huge. Are the limits to language so profound that the big questions of science and philosophy are...

In this video, students learn how to prove a pattern in a relationship by squaring the sum of two terms. They are shown how to distribute the terms and simplify the expressions to arrive at an identity. The video also provides an example...

In this video, the teacher explains how to find the solutions to a system of equations by graphing them and looking for points of intersection. They demonstrate that a system of equations can have one, more than one, or no solutions,...

This video will teach you how to find the derivative of functions formed by a quotient of functions by using the quotient rule and going over 3 examples.

In this video we will learn what is Basic Trigonometry Identities. We will cover the topics such has Trigonometry Identities, Equations & Identities, Application, Some Questions and Derivation.

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.

In this video, the teacher explains the concept of systems of equations with no solutions. They demonstrate this by graphing two equations and showing that they have parallel lines with no points of intersection. They also explain how to...

In this video lesson, students will learn how to describe the combined area of two squares using consecutive integers. They will explore polynomial identities and how to write expressions to represent the relationship between consecutive...