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Cuemath
Cuemath: Complex Numbers
A comprehensive guide for learning all about complex numbers with definitions, operations on complex numbers, solved examples, and practice questions.
Purple Math
Purplemath: Complex Numbers: Introduction
This website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
University of Saskatchewan (Canada)
University of Saskatchewan: Complex Numbers
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with an online tutorial on complex numbers. Students can access accompanying examples within the tutorial. After you can also test...
Paul Dawkins
Paul's Online Notes: Complex Numbers Primer
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
Oswego City School District
Regents Exam Prep Center: Complex Numbers
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Oswego City School District
Regents Exam Prep Center: Multiply and Divide Complex Numbers
This tutorial shows students how to multiply and divide complex numbers and includes the topic of conjugates. Includes link to a graphing calculator tutorial.
Oswego City School District
Regents Exam Prep Center: Absolute Value of Complex Numbers
This tutorial presents the absolute value of complex numbers using formulas, graphs, and examples. There are practice problems and a teacher resource page to assist students in understanding the concept.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Complex Numbers
Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.
National Council of Teachers of Mathematics
Nctm: Illuminations: Axonometry: Applying Complex Numbers to Art
Axonometry is an illumination that has students discover relationships between complex numbers and graphing. Students make connections between algebraic and graphical representations of a complex number.
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Complex Numbers
This math tutorial features notes and examples that illustrate complex numbers including standard form, adding, subtracting, multiplying and dividing them.
CK-12 Foundation
Ck 12: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] This lesson covers the powers of i, and adding and subtracting complex numbers, as well as how to plot them in the complex plane. Students examine guided notes,...
CK-12 Foundation
Ck 12: Analysis: Products and Quotients of Complex Numbers
[Free Registration/Login may be required to access all resource tools.] In this lesson, students calculate the products and quotients of complex numbers, identifying conjugates. Students examine guided notes, review guided practice,...
Interactive Mathematics
Interactive Mathematics: Basic Operations With Complex Numbers
Add, subtract, multiply and divide complex numbers using these easy-to-follow examples.
CK-12 Foundation
Ck 12: Complex Numbers
[Free Registration/Login may be required to access all resource tools.] A collection of resources that explain complex numbers and how to do arithmetic with them.
Khan Academy
Khan Academy: Factor Polynomials: Complex Numbers
Identify correctly factored forms of given polynomials. Factorizations may use complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: Polar Form of Complex Numbers
Using vectors as a starting point, this site demonstrates how complex numbers can be written in polar form. Several examples are included that require you to write complex numbers in polar and rectangular form and also represent them...
Khan Academy
Khan Academy: Parts of Complex Numbers
Determine the real and the imaginary parts of complex numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: Complex Numbers: Basic Definitions
After reviewing the process of solving quadratic and cubic equations, a definition of an imaginary number is given. Also included is a demonstration of simplifying powers of the imaginary number and writing complex numbers. Examples are...
Khan Academy
Khan Academy: Multiply & Divide Complex Numbers in Polar Form
Given two complex numbers in polar form, find their product or quotient. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Math Planet
Math Planet: Algebra 2: Complex Numbers
Provides an explanation, examples, and a video lesson all related to complex numbers.
Khan Academy
Khan Academy: Parts of Complex Numbers
Determine the real and the imaginary parts of complex numbers.
CK-12 Foundation
Ck 12: 1.5 From Quadratics to Complex Numbers
This section introduces imaginary and complex numbers in the context of solutions to quadratic equations that don't have real-number solutions.
Math Medics
S.o.s. Math: The Complex Numbers
This lesson may be useful to both persons with prior knowledge of complex numbers and those without. The lesson begins with the definition of complex numbers and its notation, then gives the rules of arithmetic for them with exercises....
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