msvgo
Introduction to Complex Numbers
It discusses the need for complex number system and define the complex numbers. It also compares complex numbers with real numbers.
Brian McLogan
How to classify numbers between real and imaginary
👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.
Professor Dave Explains
Complex Numbers: Operations, Complex Conjugates, and the Linear Factorization Theorem
An introduction to complex numbers.
Khan Academy
Introduction to i and Imaginary Numbers, Imaginary and Complex Numbers, Precalculus
Students are always fascinated by imaginary numbers. In this video, Sal defines the imaginary unit, i, and shows when raising i to an exponent, it has a cyclic nature.
Flipped Math
Quadratic Formula
The quadratic formula is what works—always. Instruct your classes on the application of the quadratic formula using a thorough video lesson followed by provided practice problems. The lesson connects algebraic solutions to graphical...
Flipped Math
Complex Numbers
Simplify the complex with a thorough video lesson. Individuals view a lesson on complex numbers and then use a provided set of practice problems to show what they've learned. The lesson includes instruction on using the four basic...
Flipped Math
Imaginary Numbers
Leave nothing to the imagination! Learners view a thorough lesson on imaginary numbers that introduces the concept, shows how to simplify square roots of negative numbers, and then how to solve quadratic equations with imaginary...
Welch Labs
Imaginary Numbers Are Real (Part 9: Closure)
The last video in a series about imaginary numbers demonstrates the need for complex numbers. Math pupils learn that they need to include the square root of negative one, the building block of the complex...
Welch Labs
Imaginary Numbers Are Real (Part 1: Introduction)
What are imaginary numbers? An introductory video provides an explanation as to why we need imaginary numbers to solve equations, and makes the connection between the need for zero, negative numbers, and rational numbers throughout...
Welch Labs
Imaginary Numbers Are Real (Part 4: Bombelli's Solution)
Is the square root of negative one crucial to the process of finding other solutions? Using the properties of the newly discovered square root of negative one, historical mathematician Bobelli is able to solve Cardan's problem. His...
Welch Labs
Imaginary Numbers Are Real (Part 3: Cardan's Problem)
Were complex numbers discovered or invented? A video presentation makes the case for the discovery of square roots of negative one. In order for complex numbers to be real, then they must behave like other numbers, which they do in terms...
Welch Labs
Imaginary Numbers Are Real (Part 2: A Little History)
In some cases, a square root of a negative number must exist in order to determine the roots of a cubic equation. An educational presentation provides a specific example of a cubic with a known root to have an understanding of a...
Virtual Nerd
How Do You Find Higher Powers of i?
What is i raised to the 45th power? This video shows you how to break up the problem into a number of i raised to 4th power, and calculate what power is left over to calculate.
Krista King Math
Rationalize an Imaginary Denominator with Conjugate Method
Explore a procedure for rationalizing a denominator that includes imaginary terms with a video that shows how to use a conjugate when working with fractions. The narrator explains the process from start to finish with each step...
Krista King Math
Imaginary Numbers
Scholars learn to use their imagination in math class! The tutorial explains the origin of the number i and then simplifies expressions that include imaginary numbers. The examples include i raised to different powers, giving...
Khan Academy
Khan Academy: Algebra Ii: Complex Numbers: Imaginary and Complex Numbers
Video works through six problems from the California Standards Test. Three problems involve simplifying rational expressions, one of which uses exponent rules. Two problems involve graphing complex numbers or reading them from graphs....
Khan Academy
Khan Academy: Pre Calculus: Basic Complex Analysis
A video [13:04] introducing complex analysis. Complex numbers are defined as a number having two parts: a real part and an imaginary part. The instructor shows how to graph these in the complex number plane. The video also explains how...
Khan Academy
Khan Academy: Algebra: Complex Numbers:calculate I Raised to Arbitrary Exponents
Video shows how to write i raised to various powers as simpler problems using exponent rules and the simple powers of i rules shown in the previous video. Includes link to additional practice problems. [6:20]
Khan Academy
Khan Academy: Algebra: Complex Numbers: I as the Principal Root of 1
Video shows the logic behind why some believe that saying i is the principal root of -1 is wrong. Explains why the logic is faulty. Explains more technically the meaning of principal root. [6:44]
Khan Academy
Khan Academy: The Imaginary Unit I: I as the Principal Root of 1
Video shows the logic behind why some believe that saying i is the principal root of -1 is wrong.
Khan Academy
Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers
Video shows how to simplify the square root of a negative number using the imaginary unit i. [4:04]
Khan Academy
Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers
Video shows how to simplify the square root of a negative number using the imaginary unit i.
Sophia Learning
Sophia: Complex Numbers
Complex numbers are investigated in this video lesson. The tutorial demonstrates how to add, subtract, and multiply with the imaginary number i.
Virtual Nerd
Virtual Nerd: How Do You Multiply Pure Imaginary Numbers?
This tutorial demonstrates the steps to find the product of pure imaginary numbers. [5:23]