Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Numeros Complejos
In Spanish. In this unit you will be able to practice interactively the concept of complex numbers in binomial and polar forms.
University of Toronto (Canada)
The Origin of Complex Numbers and the Notation "I"
Contains a brief summary on the origin of complex numbers.
Windstream
Ojk's Precalculus Study Page: Polar Coordinates and Complex Numbers
An introduction to basic conversion formulas for polar coordinates and complex numbers. Includes several examples.
Johan Claeys
Polar Form of Complex Numbers
Contains a brief explanation of polar forms of complex numbers.
Math Warehouse
Math Warehouse: Complex and Imaginary Numbers
Features numerous exercises relating to complex and imaginary numbers. Includes video tutorials, calculators, worksheets and more.
Mathigon
Mathigon: Real, Irrational, Imaginary Numbers
Explore this course in imaginary and complex numbers including topics of integers, real numbers, infinity, transcendental numbers, imaginary and complex numbers.
CK-12 Foundation
Ck 12: Imaginary Numbers
[Free Registration/Login may be required to access all resource tools.] Know there is a complex number i such that i squared = -1, and every complex number has the form a + bi with a and b real.
CK-12 Foundation
Ck 12: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] Know there is a complex number i such that i squared = -1, and every complex number has the form a + bi with a and b real.
Wolfram Research
Wolfram Math World: Complex Plane
This math site gives a visual representation of a complex plane with several values plotted, the site explains that any complex number can be plotted on such a plane. The site contains links to related words and topics.
Alabama Learning Exchange
Alex: Classifying Complex Numbers
This lesson helps students distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers.
Khan Academy
Khan Academy: Complex Number Conjugates
Given a complex number, find its conjugate or plot it in the complex plane. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Northern Illinois University
Northern Illinois University: Roots Unique Factorization
This site from the Northern Illinois University contains relevant information about complex nth roots of unity. Includes important formulas.
Wolfram Research
Wolfram Math World: Complex Conjugate
This site contains an explanation of complex conjugates. Then it goes on to list and display charts and formulas. Links are also provided for additional information.
Math Medics
S.o.s. Math: The Polar Form of a Complex Number
This lesson from S.O.S. Math provides great information on the polar form of a complex numbers. It has many formulas and examples, and it also discusses the polar coordinates as well. Links are provided for additional subjects.
Khan Academy
Khan Academy: Simplify Roots of Negative Numbers
Rewrite square roots of negative numbers as imaginary numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Interactive Mathematics
Interactive Mathematics: De Moivre's Theorem
Using DeMoivre's Theorem, the powers and roots of complex numbers are simplified. Several examples are given, including interactive exercises.
CK-12 Foundation
Ck 12: Plot Polar Coordinates
[Free Registration/Login may be required to access all resource tools.] Here you will learn how to convert and graph complex numbers in trigonometric or polar form using the polar coordinate system, which is similar in some ways to (x,...
Cut the Knot
Cut the Knot!: What Is a Number?
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Grammarly
Grammarly Blog: When Should I Spell Out Numbers?
This page focuses on when to write figures and numbers in writing; it provides the rules for both general writing and for technical, scientific, and complex writing. Examples are provided.
CK-12 Foundation
Ck 12: Analysis: Quadratic Formula and Complex Sums
[Free Registration/Login may be required to access all resource tools.] In this lesson students identify complex roots of quadratic functions with the quadratic formula, and adding and subtracting complex numbers. Students examine guided...
Stanford University
The Complex Plane (Standford University)
Contains both general and detailed information about the complex plane.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polar Coordinates
Hotmath provides 20 practice problems relating to polar coordinates and complex numbers. Each of the practice problems include a step-by-step guide for solving.
Shodor Education Foundation
Shodor Interactivate: Lesson: The Mandelbrot Set
In this instructional activity students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.
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