Curated OER
Complex Analysis: Polar & Exponential Forms
In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.
Curated OER
Math 312 Spring 2004: Complex Numbers
In this complex numbers instructional activity, students complete proofs for complex numbers, sketch points which solve an equation, compute and sketch an Argand diagram. This two-page instructional activity contains five multi-step...
Math About
Introduction to Complex Numbers
In this complex number learning exercise, students explore the properties of imaginary numbers to find the square roots of negative numbers. Explanations and examples are given prior to the exercise. This two-page learning exercise...
Curated OER
Complex Analysis: Polar Form
In this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...
Curated OER
Math 312 Spring 95 - Complex Numbers
In this complex number instructional activity, students explore complex numbers and sketch a set of points which solve in the equation. This one-page instructional activity contains five problems.
Curated OER
Math 321 Spring 98. Complex Numbers
In this complex numbers worksheet, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page worksheet contains two problems.
Curated OER
Complex Analysis: Graphical Representations
In this graphical representation activity, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page activity contains approximately ten problems.
Curated OER
Complex Analysis: Properties of Complex Numbers
In this properties of complex numbers worksheet, students list and explain the properties and operations used to compute the value of expressions. This one-page worksheet contains six definition questions and three equations.
Curated OER
Complex Analysis: Graphical Representations
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.
Curated OER
Steady-State Circuit Analysis & Filter Design
Scholars identify how the TI-89 implements phasors to perform sinusoidal steady-state analysis. The focus is on how to enter and display complex numbers. They also show how a typical steady-state application how to use the Numeric Solver...
Curated OER
Complex numbers in polar form
Students plot complex numbers in the polar plane. They convert complex numbers in polar form to rectangular form. Students plot coordinates in the polar plane. They plot complex numbers in the complex plane. Students are asked to...
Curated OER
Complex numbers in polar form
Students plot complex numbers in the polar plane. They are asked to list what they believe are the five most famous numbers in mathematics. Students are explained that generally accepted that the five most famous numbers in mathematics...
Curated OER
Order in the Classroom
First graders define and identify integers, rational, irrational, real, and complex numbers. They place number cards in ascending and descending order.
Curated OER
Complexity
Students perform mathematical operations on complex numbers. After a lecture/demo, students utilize a worksheet imbedded in this plan to gain practice performing operations on complex numbers.
Wolfram Research
Wolfram Math World: Power Series
This site gives many different summation formulas and their expansions. Very Comprehensive site
Shodor Education Foundation
Shodor Interactivate: Lesson: The Mandelbrot Set
In this lesson students will explore Julia sets and the Mandelbrot set. In the process they will learn about fractals and explore complex numbers and function iteration.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
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...
Clark University
Clark University: Dave's Short Trig Course: Complex Numbers: Absolute Value
Contains detailed information on absolute values for complex numbers.
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Complex Numbers 1
Twenty-six problems present a variety of practice working with complex numbers. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
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.
Math Is Fun
Math Is Fun: The Evolution of Numbers
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
Stanford University
Standford University: Complex Roots
This resource contains relevant information regarding to complex roots that includes formulas and graphs.