Loading presentation...

Present Remotely

Send the link below via email or IM

Copy

Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

DeleteCancel

Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.
You can change this under Settings & Account at any time.

No, thanks

Complex Numbers

No description
by

Ann Forber

on 5 May 2013

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Complex Numbers

Lesson Objectives Complex Numbers A complex Number is a combination of:

A Real Number
1 12.38 3/4 1998 -0.8625

And an Imaginary Number

Imaginary numbers are special because when squared they give a negative result. What are Complex
Numbers Complex numbers are used in many scientific and engineering fields including Physics, Chemistry, Biology, Mathematics and Statistics.

Complex Numbers are used to solve equations that could not be solved otherwise in the following fields:
Control Theory
Improper Integrals
Fluid Dynamics
Signal Analysis
Algebraic Number Theory
Analytic Number Theory Why use Complex Numbers? Examples

1 + i 39 +3i

o.8 - 2.2i A
complex number is a combination of a Real Number & an Imaginary Number To add two complex numbers we add each element separately Adding 1 + i
------- = ?
1 - i Examples To understand what complex numbers are.
To be able to simplify complex numbers
To be able to carry out simple calculations surrounding complex numbers. Solution

(1+i) (1+i)
------------ =
(1-i) (l+i)

1 + 2i - 1
----------- = i
1 + 1 The "unit" imaginary number (like 1 for real numbers) is i, which is the square root of -1
i x i = -1 Complex does
NOT
mean complicated (a+bi) + (c+di) = (a+c) + (b+d)i

Example:
(3+2i) + 1+7i) = (4+9i) Multiplying Each part of the first complex number is multiplied by each part of the second complex number Firsts: a.c Outers a.di

Inners: b1.c Lasts bi.di Example (3 + 2i) (1 + 7i) (3+2i) (1+7i) = 3xi + 3x7i + 2ix1 + 2ix7i)

= 3 + 21i + 2i + 14i

= 3 + 21i + 2i - 14

Because 1 = -1 Now who
wants to
play
BINGO How clever do
you feel
NOW
Full transcript