nandininilkantan, Neeraj mishra, Santosha, NeerajMisra, AK Maloo, Mohua Banerjee, Dr. Akash Anand, Prof. Debasis Sen, D. Kundu, SUDIPTADUTTA, G Santhanam, Debashish Kundu, aparna dar
Department of Mathematics & Statistics
Partial Differential Equations
Assignment-II
1. Solve the following first order non-linear PDE with the given initial conditions.
p
(a) px + qy + 1 + p2 + q 2 =
Statistical Simulation and Data Analysis (MTH511A)
We will be mainly following the following books:
1. Sheldon M. Ross (2002) Simulation, Third edition, Academic Press.
2. D. Kundu and A. Basu (2004),
Project-1
The project is due on February 16, 2018 (7:00 pm). No consultation with
your fellow course mates. If I suspect any copying every concerned persons will
receive zero marks.
Problem: Provide a
Department of Mathematics & Statistics
Partial Differential Equations
Assignment-I
1. Use the method of characteristics to solve the following Cauchy Problems (Initial Value
Problems) and determine th
Practice Problem Set 2
MTH 511A
Simulation and Data Analysis
1. Show that the acceptance rejection method works for a discrete distribution also.
2. Generate gamma random variables as many different w
Department of Mathematics & Statistics
Partial Differential Equations
Assignment-III
1. Solve the initial value problem utt c2 uxx = 0 with the initial conditions
(a) u(x, 0) = x3 and ut (x, 0) = sin
CUDA by Example
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CUDA by Example
g
JAson sAnders
edwArd KAndrot
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Practice Problems 20 : Area in Polar coordinates, Volume of a solid by slicing
1. Consider the curves r = cos 2 and r = 12 .
(a) Find the points of intersection of the curves.
1 4
1 5
1
(b) Show that
The marking scheme is as follows:
1. Writing the correct root finding scheme: 1 mark
2. Sample calculations for at least one iteration step: 2 marks
3. Showing iteration number, x(i), f(x(i), f'(x(i),
S. Ghorai
1
Corrections & Modifications
This will be updated with the corrections and modifications
I.1 p.4 Lecture I: In Application .air resistence is proportional to the velocity has
been replaced
PP 38 : Stokes Theorem
1. Let F, S and n
be as in the statement of Stokes theorem. Show that
(a) S (curlF ) n
d = T (curlF ) (ru rv ) dudv if S is the parametric surface defined
by r(u, v), (u, v) T
PP 37 : Greens Theorem
The plane curve C described in this problem sheet is oriented counterclockwise.
1. Evaluate the line integral
I
(x2 sin2 x y 3 )dx + (y 2 cos2 y y)dy
C
where C is the closed cur
Indian Institute of Technology Kanpur
HSO201A Applied Probability and Statistics (2017-18-II)
ANSWERS TO PRACTICE PROBLEM SET (PPS) # 6
1.
An urn contains N balls, all of which are identical, except f
Indian Institute of Technology Kanpur
HSO201A Applied Probability and Statistics (2017-18-II)
ANSWERS TO PRACTICE PROBLEM SET (PPS) # 4
1.
For each of the following cases, find the constant a, so that
Indian Institute of Technology Kanpur
HSO201A Applied Probability and Statistics (2017-18-II)
ANSWERS TO PRACTICE PROBLEM SET (PPS) # 2
Let be a sample space associated with a given random experiment
Indian Institute of Technology Kanpur
HSO201A Applied Probability and Statistics (2017-18-II)
ANSWERS TO PRACTICE PROBLEM SET (PPS) # 5
1. Let g1(X) and g2(X) be functions of a random variable X. Supp
Course Syllabus
BMEn 8421 Biophotonics
Spring 2017
Location: Bruininks Hall 119
Time: T/Th 1:00-2:15
Instructor: Prof. Paolo P. Provenzano
Office hours: by appointment
Office: 7-120 Hasselm
Help File
The attached pages provide information on some exercises in the text, and they are posted
since the contents may be useful for working some of these exercises. This represents one graduate
s
Math 6510 Homework 2
Tarun Chitra
February 10, 2011
11
Problem. If X0 is the path-component of a space X containing the basepoint x0 , show that the inclusion X0 , X
induces an isomorphism 1 (X0 , x0
Exam I Solutions
Algebraic Topology
October 19, 2006
1. Let X be path connected, locally path connected, and semilocally simply connected. Let H 0
and H1 be subgroups of 1 (X, x0 ) such that H0 H1 . L
Math 74 Spring 2005
Topology II: Introduction to Algebraic Topology
Final Exam (take-home)
due at 2pm on Tuesday June 7
in the office of Prof. Greg Leibon, 308 Bradley Hall
Your name (please print):
I
Samuel Lee
Homework #3
Algebraic Topology
February 26, 2016
Problem (1.1: #9). Let A1 , A2 , A3 be compact sets in R3 . Use the Borsuk-Ulam theorem to
show that there is no one plane P R3 that simulta
Texts in Applied Mathematics
11
Editors
JE. Marsden
L. Sirovich
M. Golubitsky
W. Jger
F. John (deceased)
Advisors
D. Barkley
M. Dellnitz
P. Holmes
G. Iooss
P. Newton
Texts in Applied Mathematics
1.
2.
10.
Department of Mathematics & Statistics
MTH-102A Ordinary Differential Equations
Assignment V|
. * Find the Laplace transform of the following functions.
(i) eat for a y 0. (ii) cosh bt. (iii) eM c
IEOR E4101 Probability models (MSE)
Nov 22, 2016
Assignment 8
Due date: Nov 29, 2016
Instructions. There is only 1 question in this homework assignment, and it carries 25 points.
Please provide clearl
Department of Mathematics
Complex Analysis
Assignment-IV
1. Let f (z) :=
we have
P
n=0 an (z
z0 )n for z B(z0 , R). Then for 0 r < R and 0 t 2,
1
2
Pn
Z
2
|f (z0 + reit )|2 =
0
X
|an |2 r2n .
n
1
2
r
Department of Mathematics & Statistics
Complex Analysis
Assignment- V
Cauchys Integral Formula
1. Let (t) = 2 exp(it) for 0 t 2 and a be a real number.
R exp(az)
1
i. Show that 2i
z 2 +1 = sin a.
R