###### Video Lectures

###### Complex Number and Complex Function Review

###### This series of videos reviews basic definitions and operations associated with complex numbers and complex functions. Understanding how to work with these quantities is essential as we'll be working with complex numbers and transformations regularly throughout the course.

Basic Definitions

1/17/15

Running Time: 5:24

This series of videos reviews basic definitions and operations associated with complex numbers and complex functions.This first video defines the rectangular format and polar format of a complex number, and also visualizes complex numbers in the complex plane.

Complex Number Operations

1/17/15

Running Time: 10:44

This second video defines a variety of operations that can be performed on complex numbers such as: addition, multiplication, magnitude, and phase computations. It also derives expression for both the magnitude and phase of a ratio of complex numbers.

Complex Number Operation Examples

1/17/15

Running Time: 8:35

The previous video in this series provide general definitions of several complex number operations. This video performs specific example computations of complex number addition, conjugation, multiplication, magnitude, and phase.

Complex Numbers and Operations in Matlab

1/17/15

Running Time: 5:54

The previous video in this series worked a variety of example computations with complex numbers. This video performs the same computations yet they are all performed in Matlab.

Complex and Complex-Valued Functions

1/17/15

Running Time: 11:42

In this final video we formally define complex and complex-valued functions. We examine the Fourier Transform X(f) of the continuous-time signal x(t). X(f) is a complex-valued function and its magnitude and phase are computed and plotted.