Subjects
Applied Mathematics for Electrical Engineering - 3130908
Complex Variables and Partial Differential Equations - 3130005
Engineering Graphics and Design - 3110013
Basic Electronics - 3110016
Mathematics-II - 3110015
Basic Civil Engineering - 3110004
Physics Group - II - 3110018
Basic Electrical Engineering - 3110005
Basic Mechanical Engineering - 3110006
Programming for Problem Solving - 3110003
Physics Group - I - 3110011
Mathematics-I - 3110014
English - 3110002
Environmental Science - 3110007
Software Engineering - 2160701
Data Structure - 2130702
Database Management Systems - 2130703
Operating System - 2140702
Advanced Java - 2160707
Compiler Design - 2170701
Data Mining And Business Intelligence - 2170715
Information And Network Security - 2170709
Mobile Computing And Wireless Communication - 2170710
Theory Of Computation - 2160704
Semester
Semester - 1
Semester - 2
Semester - 3
Semester - 4
Semester - 5
Semester - 6
Semester - 7
Semester - 8
Complex Variables and Partial Differential Equations
(3130005)
CVPDE-3130005
Summer-2020
Question-2c(i)
BE | Semester-
3
Summer-2020
|
27-10-2020
Q2) (c(i))
3 Marks
Evaluate
∫
C
e
-
z
z
+
1
d
z
,where
C
:
z
=
1
2
.
Here
,
f
z
=
∫
C
e
-
z
z
+
1
d
z
⇒
z
0
=
-
1
is a non-analytic point. But it is outside of
C
:
z
=
1
2
.
⇒
f
z
is analytic in
C
.
Then by Cauchy’s integral theorem, We have,
∫
C
e
-
z
z
+
1
d
z
=
0
.
Questions
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Q1
(a)
Q1
(b)
Q1
(c ( i ))
Q1
(c ( ii ))
Q2
(a)
Q2
(b)
Q2
(c(i))
Q2
(c(ii))
Q2
(c( i ))
(OR)
Q2
(c ( ii ))
(OR)
Q3
(a)
Q3
(b)
Q3
(c)
Q3
(a)
(OR)
Q3
(b)
(OR)
Q3
(c)
(OR)
Q4
(a)
Q4
(b)
Q4
(c ( i ))
Q4
(c ( ii ))
Q4
(a)
(OR)
Q4
(b)
(OR)
Q4
(c ( i ))
(OR)
Q4
(c ( ii ))
(OR)
Q5
(a)
Q5
(b)
Q5
(c)
Q5
(a)
(OR)
Q5
(b)
(OR)
Q5
(c)
(OR)