ELEC3002/ELEC7005 Lecture 2
Complex Analysis (chapter 1 in Glyn James) complex differentiation
This lecture covers sections 1.3 and 1.4 ITEE
complex 2/1
Complex differentiation
The derivative of a r
Demonstration problem sheet, Vectors 1. A 3D vector a is given by a = [ a1 , a2 , a3 ] . Find a unit vector parallel to a . 2. The initial point of a vector is P ( x1 , y1 , z1 ) , the termin
The University of Queensland School of Information Technology & Electrical Engineering ELEC3002/ELEC7005 Computational Mathematics for Engineers Tutorial Complex #2 Q1 The mapping w = z + (, both con
The University of Queensland School of Information Technology & Electrical Engineering ELEC3002/ELEC7005 Computational Mathematics for Engineers Tutorial Complex #1 Q1 Show that cos =
1 j 1 j e + e
Solutions to Tutorial Complex#1 Q1. This is fundamental, begin with the deMoivre relationships: e j = cos + j sin
e - j = cos - j sin then add and subtract these to get the result. 1 1 j cos = e
MIDI AND THE AVR
I N T R O TO U S I N G T H E AV R I N M I D I A P P L I C A T I O N S
PAUL MADDOX
MARCH 2002
TABLE OF CONTENTS
Introduction ..2 MIDI, what is it? .2 MIDI specs, a quick guide ..3 MID
ELEC3002/ELEC7005 Lecture 5
An application using complex analysis: The Time-Frequency Domain
Complex 5/1
ITEE
Time-frequency domain. What is it?
We are well acquainted with both time and frequency
ELEC3002/ELEC7005 Lecture 4
Residue Calculus
(Section 1.64- end in James)
Complex 4/1
ITEE
What's it good for?
Well, the coefficients of bk are interesting, since the first one
b1 = 1 2 j f ( z ) d
ELEC3002/ELEC7005 Lecture 3
Singularities in complex analysis. Integration.
(sections 1.5 and 1.6 in James)
Complex 3/1
ITEE
Singularities, zeros and residues
A singularity is a point in the comple
ELEC3002/ELEC7005 Lecture 1
Complex Analysis (Chapter 1 in Glyn James)
This lecture covers section 1.2 A/Prof. Nick Shuley, Room 73-535
complex 1/1
ITEE
What in this section?
All about the use of