The concept of imaginary and complex numbers was a powerful innovation that enabled mathematics to progress into previously uncharted territory. Although this concept was not entirely intuitive, extending our number system to include...

In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...

👉 Learn how to evaluate the six trigonometric functions of a given angle. When given an angle we locate the angle on the unit circle. Then using the coordinate of the terminal side of the angle on the unit circle and the definitions of...

In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...

In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 + i) + 2i

It's controversial to talk about the value of human life, but sometimes it's just necessary. So in this video, we ran the maths to try and work how much economic damage can be justified to save lives.

👉Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...

There are an infinite number of rational numbers, but there are infinitely more irrational numbers. Neither type of number can represent every type of numeric quantity. By combining the rational and irrational numbers into the real...

Although the domain and codomain of functions can consist of any type of objects, the most common functions encountered in Algebra are real-valued functions of a real variable, whose domain and codomain are the set of real numbers, R.

👉 Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...

👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...

This video presents a project called "Average of Three".<br/<br/>>

This clip is from the chapter "Fundamentals of C++" of the series "The Complete C++ Developer Course".This section discusses the fundamentals of C++.

👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....

In this video playlist you will learn everything you need to know with complex and imaginary numbers (3 + 7i) + 5i

In this math tutorial I will show you how to add and subtract complex numbers. You will learn the steps in adding rational complex numbers and rational expressions with imaginary. Like polynomials when adding complex numbers we can...

In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...

Proof of the steady state amplitude and phase for a spring mass damper system with an harmonic load acting on it.



Once you get good at it, you don't need to recreate another z equation like I've done. You can just solve as if...

👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating...

In this video series explain the properties of real numbers. When working with numbers in mathematics it is very important to understand the properties of real numbers because knowing the properties tells us what we are allowed to do...

Multiplying two imaginary numbers then simplifying the expression to a real number

👉 Learn how to simplify radical expressions. In this playlist we will explore simplifying radical expressions by prime factorization and rules of exponents. We will explore the square root, cube root as well as the fourth root of numbers...

Find the domain and range of two functions dividing and composition

In this video, the teacher explains how to add complex numbers by combining like terms. They provide examples using both real and imaginary numbers, as well as demonstrate the importance of keeping track of signs. The lesson concludes by...

This video will introduce, explain and model how to use the Commutative Property, Associative Property, Distributive Property, Identity Property and Inverse Property. We will review how these properties apply or do not apply to...