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...
Khan Academy
Khan Academy: Algebra: Complex Numbers: Complex Numbers (Part 2)
Video shows how to divide complex numbers by using complex conjugates in general terms and then with a specific example. [8:58]
Khan Academy
Khan Academy: Algebra: Complex Numbers: Complex Numbers (Part 1)
Video first reviews what imaginary and complex numbers are. Shows example of graphing a complex number. Gives general explanations and formulas for adding, subtracting, multiplying and dividing complex numbers. Includes link to...
Khan Academy
Khan Academy: Intro to Complex Number Conjugates
An instructional video describing complex conjugates. Complex conjugates are defined and then used to simplify a problem in which a complex number is divided by another complex number. [8:03]
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: Pre Calculus: Exponential Form to Find Complex Roots
This video illustrates how the exponential form of a complex number can be helpful in finding the complex roots of a number. The process is shown both algebraically and graphically using x^3 = 1 as a simple example. [11:53]
Khan Academy
Khan Academy: Algebra: Complex Numbers: Adding Complex Numbers
Video shows an example of adding complex numbers. Includes link to additional practice problems. [1:11]
Other
Secc: Hsn cn.c.8: Extend Polynomial Identities to the Complex Numbers
This resource is from the Southeast Comprehensive Center (SECC) at the American Institute for Research which is funded by the U.S. Department of Education. The video explains Common Core Standard HSN-CN.C.8 which states: Extend...
Khan Academy
Khan Academy: Algebra: Complex Numbers 2
Students learn about complex numbers. The resource examines how to divide complex numbers and complex conjugates. The video tutorial investigates the mathematics concept through detailed notes and examples.
Khan Academy
Khan Academy: Algebra: Complex Numbers 1
Students learn about complex numbers. The resource examines how to add, subtract, and multiply complex numbers. The video tutorial investigates the mathematics concept through detailed notes and examples.
Khan Academy
Khan Academy: Complex Numbers: Complex Numbers (Part 1)
Introduction to complex numbers. Adding, subtracting and multiplying complex numbers.
Khan Academy
Khan Academy: Algebra: Complex Numbers
Video explains what complex numbers are and shows how to write them. Includes an example of writing a real number as a complex number. [2:21]
Khan Academy
Khan Academy: Complex Roots of the Characteristic Equations 2
What happens when the characteristic equation has complex roots?
Khan Academy
Khan Academy: Intro to Complex Analysis: Exponential Form to Find Complex Roots
In this video lesson students learn to use exponential form to find complex roots.
Khan Academy
Khan Academy: Repeated Roots of the Characteristic Equation
What happens when the characteristic equation only has 1 repeated root?
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.
Khan Academy
Khan Academy: Complex Numbers: Complex Numbers (Part 2)
Dividing complex numbers. Complex conjugates.
University of New South Wales (Australia)
Unsw: How to Solve Polynomial Equations Involving Complex Numbers
The instructor in this video demonstrates how to use the polar form of a complex number to solve a polynomial equation. [11:07]
Khan Academy
Khan Academy: Complex Roots of the Characteristic Equations 3
Complex and repeated roots of characteristic equation.
Khan Academy
Khan Academy: Repeated Roots of the Characteristic Equations Part 2
An example where we use initial conditions to solve a repeated-roots differential equation.
Khan Academy
Khan Academy: Algebra: Complex Numbers: Introduction to I and Imaginary Numbers
Video introduces i as the imaginary unit, gives two versions of the definition for i, and then shows what various powers of i equal. [5:20]