1. The French government announced plans to convert state-owned power firms EDF and GDF
into separate limited companies that operate in geographically distinct markets. BBC News
reported that Frances CFT union responded by organizing a mass strike which t
MA 205 Complex Analysis: Cauchy Integral
Formula and its Beautiful Consequences
August 5, 2017
MA 205 Complex Analysis: Cauchy Integral Formula and its Be
Recall
Last time we saw Cauchys theorem which said that if is a
domain in C, is a simply closed cont
1.7.
Isomorphic Graphs
Example:
Consider the following graphs, are they the isomorphic, i.e.
the same?
No. The left-hand graph has 5 edges; the right hand graph
has 6 edges.
WUCT121
Graphs
25
Firstly, label the graphs. It looks true, so check all the
thin
Exercises :
1. Show that is f (z) if a proper function from C to C, then f is a closed map, i.e,
f maps closed subsets to closed subsets.
(This fact will be useful for us later)
2. Show that the only holomorphic function f : C C with the property that
f (
Network Theory Homework 3
Manoj Gopalkrishnan
12 August 2017
Homework is not to be submitted. If you prepare a solution and upload it
to Moodle, you may be eligible for extra credit, as per the course rules.
1. Define the following:
(a) Homomorphism of gr
1
M.B. Patil/J. John, IIT Bombay
Diode Temperature Sensor
Experiment: Procedure/Observation
(I) Current source
1. Design the current source circuit shown in Fig. 1 for IDU T = 1 mA.
2. Use a resistor RL = 1 k as the DUT and verify that IDU T 1 mA.
3. Use
1
M.B. Patil, IIT Bombay
Op Amp Circuits: Precision Rectifiers
Experiment: Procedure/Observation
(I) Half-wave precision rectifier
1. Wire up the half-wave rectifier shown in the figure. Use 12 V supply for the op
amp. With a sinusoidal input Vi (1 V peak
MA 205 Complex Analysis: Exponential Function
July 27, 2017
MA 205 Complex Analysis: Exponential Function
Cauchy-Maclaurin intergral test
Consider a eventually non-negative, continuous function f defined
on the unbounded interval [1, ), on which it P
is e
MA 205 Complex Analysis: Laurent Series and
Examples
August 19, 2017
MA 205 Complex Analysis: Laurent Series and Examples
Recall
Last time we looked at some examples of contour integration. We
then began discussing singularities. There are two of singular
MATH 160
Name:
Written Assignment
Proving Limits
CSU ID:
Please print clearly
Assigned: Tuesday, September 6th
Due: Monday, September 12th
Section 801 (Benoit)
Fall, 2016
Write your solutions in the spaces provided. If you need more paper, attach addition
State Bank of India
Central Recruitment & Promotion Department
Corporate Centre, Mumbai
Notice
The result of the examination for Recruitment of Junior Associates and
Junior Agricultural Associates in Clerical Cadre in SBI, conducted on
25.06.2016 and 26.0
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Name:
Date:
Stoichiometry Worksheet
JUST NEED ANSWERS FOR THE PROBLEMS IN RED
PLEASE!
PROBLEMS 6-10 only!
Directions: You are strongly encouraged to print out this worksheet and
work with paper & pencil and a calculator for these problems. Then,
either
Math 160
Spring 2017
TENTATIVE SCHEDULE
Instructor: Irene Palacios
Section # 7987
( CHANGES WILL BE ANNOUNCED on Discussion Board)
Week 1
Tues, Jan 31
Tues, Jan 31
Thurs, Feb 2
Thurs, Feb 2
Week 2
Tues, Feb 7
Thurs, Feb 9
Thurs, Feb 9
Intro, Ch 1, 2.1, 2.
MA 205 Complex Analysis: Introduction
U. K. Anandavardhanan
IIT Bombay
July 20, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Introduction
Introduction
Welcome to the first lecture of MA 205!
U. K. Anandavardhanan IIT Bombay
MA 205 Comple
MA 205 Complex Analysis: Singularities
U. K. Anandavardhanan
IIT Bombay
August 27, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Singularities
Introduction
What did we do last time?
Quiz II on Friday, September 04. Time: 8:15-9:15 AM.
End
MA 205 Complex Analysis: Cauchy & CIF
U. K. Anandavardhanan
IIT Bombay
August 10, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Cauchy & CIF
Introduction
Well continue with complex integration. Last time, we first
defined the integral of
MA 205 Complex Analysis
Fall 2015
U. K. Anandavardhanan
Department of Mathematics
Indian Institute of Technology Bombay
Chapter 1
Introduction
1.1. Syllabus
Definition and properties of analytic functions.
Cauchy-Riemann equations, harmonic functions.
MA 205 Complex Analysis: Morera, ZAI
U. K. Anandavardhanan
IIT Bombay
August 20, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Morera, ZAI
Introduction
So how did the exam go? Any quick questions? In the review
class, we did:
qp
1. The fu
MA 205 Complex Analysis: Introduction
U. K. Anandavardhanan
IIT Bombay
July 20, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Introduction
Introduction
Welcome to the first lecture of MA 205! Its a great course, and I
hope all of you will
MA 205 Complex Analysis: CR Equations
U. K. Anandavardhanan
IIT Bombay
July 23, 2015
(class taken by Professor Ravi Raghunathan)
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: CR Equations
Introduction
In the last class, we introduced complex n
MA 205 Complex Analysis: Winding Up
U. K. Anandavardhanan
IIT Bombay
September 03, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Winding Up
Real Integrals
R
1. Show that 0 log sin d = log 2.
What should be the complex function? Weve notic
MA 205 CA: All the Beautiful Things
U. K. Anandavardhanan
IIT Bombay
August 13, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 CA: All the Beautiful Things
Introduction
Last time, we saw two very important theorems. Cauchys theorem
and the Cauchy integral f
MA 205 Complex Analysis: Integration
U. K. Anandavardhanan
IIT Bombay
August 06, 2015
U. K. Anandavardhanan IIT Bombay
MA 205 Complex Analysis: Integration
Recall
In the last lecture, we saw the notion of a multi-valued function.
The most basic example wa