   Complex Conjugates, Complex Division, and Visualization on Mathematica. by
Video Lecture 12 of 26
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Date Added: July 29, 2017 Lights Out New Window

### Lecture Description

Complex Analysis Video #12 (Complex Arithmetic, Part 12). Review of Geometric Interpretation of Complex Multiplication and Division. Complex Conjugates (symbols and use).

Details: Review of moduli and argument properties of multiplication and division. Visualize division using Manipulate on Mathematica (starts with (2 + 3i)/(-1 + 4i). Review complex conjugates. Special equations worth remembering: z*zbar = |z|^2; 1/z = zbar/|z|^(2) (show how it comes up in complex division). Example: calculate (5+7i)/(2+3i) by multiplying by (2-3i)/(2-3i).

### Course Description

This is a mini crash course providing all you need to know to understand complex numbers, and study Complex Analysis. Mathematica is used to help visualize the complex plane.

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