Khan Academy
Khan Academy: Algebra: Complex Numbers: Iit Jee Complex Numbers (Part 3)
Video shows working a problem from the IIT JEE test which involves determining whether the determinant of a matrix of four given complex numbers is 0. [3:09]
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: Iit Jee Complex Numbers (Part 2)
Video shows working a problem from the IIT JEE test which involves algebraic manipulation and using what the argument of complex numbers is to visually reason if two given equations about arguments are true. [7:26]
Khan Academy
Khan Academy: Pre Calculus: Complex Determinant Example
A video showing the step-by-step solution to a difficult determinant problem from the IIT-JEE. This is problem 53 from Paper 1 of the 2010 exam. A 3 X 3 matrix is given in terms of z and omega, where omega is defined as a complex number...
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...
Other
Dimensions
The resource includes two hours of video broken into nine chapters that explores dimensions, complex numbers, and proof. Commentary is available in a variety of languages and background information on the nine chapters is provided.
Sophia Learning
Sophia: Simplifying Complex Fractions in the Real World
This lesson provides real world examples that involve simplifying complex fractions. Students can watch a video tutorial and then take an online quiz.
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: Intro to Complex Analysis: Basic Complex Analysis
In this video lesson students explore complex number by looking at Argand Diagram, magnitude, modulus, argument and exponential form.
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?
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.
Randy Thomas
Solving Quadratic Equations With Complex Solutions
This tutorial discusses solving quadratic equations using square roots, completing the square, and the quadratic formula. Problems which previously had no solution can now be solved with the inclusion of the complex number system....
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]