Go Back   2022-2023 StudyChaCha > StudyChaCha Discussion Forum > General Topics

  #11  
Old February 11th, 2013, 04:46 PM
Unregistered
Guest
 
Default Re: Msc maths model question papers of previous years

plz send m.sc maths algebra question papers of previous years
Reply With Quote
  #12  
Old March 5th, 2013, 12:48 PM
stephen david
Guest
 
Default Re: Msc maths model question papers of previous years

Sir i am m.sc. finals (maths) student and going to appear for the exam in summer i need sample question paper of O.R , F.A., D.S., G.R. and F.D. send me reply on stephend1011@gmail.com
Reply With Quote
  #13  
Old April 25th, 2013, 02:31 PM
B lingaiah
Guest
 
Default Re: Msc maths model question papers of previous years

Get me some question paper of M Sc Maths for andhra University. I am going to face examination in the maths stream. So give me some question paper with answer key for getting prepared for the upcoming examinations
Reply With Quote
  #14  
Old June 26th, 2013, 07:28 PM
Unregistered
Guest
 
Default Re: Msc maths model question papers of previous years

i want question paper of msc entrance exam in M S University
Reply With Quote
  #15  
Old November 3rd, 2013, 07:29 PM
Unregistered
Guest
 
Smile Re: Msc maths model question papers of previous years

friends i am studying m.sc maths first year. april 2012 question paper venum.plz help me, my mail id boominathan2903@gmail.com
Reply With Quote
  #16  
Old December 7th, 2013, 10:39 AM
Unregistered
Guest
 
Default Re: Msc maths model question papers of previous years

Sir plz send me msc maths 1st sem topology old question papers
Plz sir
Reply With Quote
  #17  
Old December 13th, 2013, 09:05 PM
arulanandamayyar
Guest
 
Default Re: Msc maths model question papers of previous years

Quote:
Originally Posted by Unregistered View Post
i need m.s university,tirunelveli M.SC MATHS 1st year model question paper
all papers in 1year code no dma 11 dma12 dma13 dma14 dma15 pls sent me previous
model
Reply With Quote
  #18  
Old February 5th, 2014, 07:51 PM
Unregistered
Guest
 
Default Re: Msc maths model question papers of previous years

i am prince from rajapalayam. i want alagappa university Msc maths question paper model...
princevedhanayagam@yahoo.com
Reply With Quote
  #19  
Old February 15th, 2014, 09:16 PM
ameer mukhtar
Guest
 
Default Re: Msc maths model question papers of previous years

sir MSC mathematics part II ky punjab university kay old papers nai mil rahy. kindly ap hamin provide kar sakty hain ya phir ap hamin website meray e-mail address per send kar din (ameermukhtar27@yahoo.com)
i shall be very thankful to you
Reply With Quote
  #20  
Old February 16th, 2014, 12:27 PM
Sashwat's Avatar
Super Moderator
 
Join Date: Jun 2011
Default Re: Msc maths model question papers of previous years

The M.Sc Mathematics (IDE) Examination question paper is as follows:

I. A) a) Show that a finite dimensional subspace of a normed space X is closed in X.
b) Show by an example that an infinite dimensional subspace of a normed
space X may not be closed in X.
c) Show that the closed unit ball ) p ( p ∞≤≤1 l is convex, closed and bounded
but not compact. (6+5+6)

B) a) Let X, Y be normed spaces and Y X : F →a linear map. Prove that F is
continuous if and only if there exists 0 such that x ) x ( F ≤for all
X x∈.
b) Show that a linear functional f on a normed space X is continuous if and only
if z(f) is closed in X.
c) Give an example of a discontinuous linear map. (6+6+5)
II. A) a) Show that a normed space X is Banach if and only if every absolutely
summable series of elements in X is summable in X.
b) Let Y be a closed subspace of a normed space X. Show that X is Banach if
and only if Y and
Y
X
are Banach spaces in the induced norm and quotient
norm respectively. (8+9)

B) a) Show that a nonzero linear functional on a normed space is an open map.
b) State and prove Hahn-Banach extension theorem.
c) Let X = K2 with norm || ||∞and } ) ( x : K )) ( x ), ( x {( Y 0 2 2 1 2 ∈.

Define Y g ′∈by g (x(1), x(2)) = x(1). Show that the only Hahn Banach
extension of a g to X is given by f(x(1), (x(2)) = x(1). (5+7+5)
III. A) a) Let X be a normed space and E be a subset of X. Show that E is bounded in
X if and only if, f(E) is bounded in K for every X f ′∈
b) State and prove Closed Graph Theorem. (7+10)

B) a) Show that a linear functional f on a normed space is closed if and only if f is
continuous.
b) State and prove Open Mapping Theorem.
c) Let ] b , a [ C X ′with ∞∞x x x and ] b , a [ C Y ′with supreum
norm. Show that the map Y X : F →defined by F(x) = x is linear and
continuous but not open. (5+7+5)
IV. A) a) Let X be a normed space and ) X ( BL A∈. Show that A is invertible if and
only if A is bounded below and surjective.
b) If X is a normed space and ) X ( BL A∈define the spectrum ) A ( , eigen
spectrum ) A ( e and approximate eigen spectrum ) A ( a . Show also that
) A ( ) A ( ) A ( a e .
c) If X is a nonzero Banach space over C and ) X ( BL A∈prove that ) A ( is
nonempty. (5+7+5)

B) a) Let p X l with norm || ||p ∞p 1 .
For X = X .....) ) ( x ), ( x ( ∈2 1 let

Show that ) X ( BL A∈. Also find ) A ( e , ) A ( a and ) A ( .
______ -3- 4145
b) Define the transpose F′of a bounded linear map ) Y , X ( BL F∈show that
F F F ′.
c) If X is a Banach space and ) X ( BL A∈show that ) A ( ) A ( . (6+5+6)
V. A) a) Define reflexive normed space. Prove that a reflexive normed space is Banach.

Is the converse true ? Justify.
b) Define a compact linear map and give an example. Show that the set CL(X, Y)
of all compact linear maps from a normed space X to a Banach space Y is
closed in BL(X, Y).
c) Let X be a Banach space and ) X ( BL P∈be a projection. Show that
) X ( CL P∈if and only if P is of finite rank. (5+7+5)
B) Let X be a normed space and ) X ( CL A∈. Prove that
a) every nonzero spectral value of A is an eigen value of A.
b) the eigen spectrum of A is countable.
c) every eigen space of A corresponding to a nonzero eigen value of a A is finite
dimensional. (7+5+5)

I. A) a) Define roundoff error and truncation error.
b) Find a root of the equation x3 – x – 1 = 0 by bisection method.
c) Find a double root of the equation f(x)= x3 – x2 – x + 1 = 0. (3+10+4)
OR
B) a) Show that the order of Newton-Rapshon method is atleast two.
b) Find all roots of the equation 0 6 x 18 x 9 x 2 3 by Graeffe method
(root squaring method, 3 times).
c) Explain matrix Inversion method to solve a system of linear equation. (4+10+3)

II. A) a) Find the cubic polynomial which takes following values y(0) = 1, y(1) = 0,
y(2) = 1, y(3)=10. Also obtain y(4).
b) Apply Gauss central difference formula and estimate f(32) from following
table.
x 25 30 35 40
y=f(x) 0.2707 0.3027 0.3386 0.3794 (5+12)

OR

B) a) Find the polynomial of degree two which takes the values
x : 1 2 3 4 5 6 7
y : 1 2 4 7 11 16 22
b) Using Lagrange’s interpolation formula and R(x). Find the form of the function
y(x) from the following table.
x 0 1 3 4
y –12 0 12 24 (7+10)

III. A) a) Find
dx
dy
and 2
2
dx
y d
at x = 51, using Newton’s forward formula for derivatives
for the data.
x : 50 60 70 80 90
y : 19 – 96 36 – 65 58 – 81 77 – 21 94 – 61
b) Evaluate ∫
2
0
dx x sin , by Simpsons 3

1 rd rule dividing the range into six equal
parts. (8+9)

OR
B) a) Evaluate ∫

3
3
4dx x by using Trapezoidal rule take h =1.
b) Evaluate dy dx e
1
0
1
0
y x ∫∫using, a) Trapezoidal rule and Simpsons’ rule. (5+12)

IV. A) a) From Taylors’ series for y(x), find y(0.1) correct to four decimal places if
y(x) satisfies 2 y x y −and y(0) =1.
b) Given
dx
dy
= 1+y2 where y = 0 when x = 0. Find y(0.2), y(0.4), y(0.6) by
using Rungekutta method. (8+9)
OR
______ -3- 4154

B) a) Find the value of y(0.1) by Picards’ method given x y
x y
dx
dy

−, y(0) =1.
b) Solve the differential equation 2 y 1 y with y(0) = 0 by Milne’s-Thomson
method. Also find y(0.8) and y(1.0). (8+9)

V. A) a) Write a C/C++ program to find the positive root of 0 1 x x ) x ( f 3 by
bisection method.
b) Write a C/C++ program to find root of 0 5 x 2 x3 by Newtons – Raphson
method. (9+8)

OR
B) a) Write a program in C/C++ to compute the solution of y , x ( F
dx
dy ), y(x0) = y0
using Eulers’ method.
b) Write a program in C/C++ to solve a system of equations using
Gauss-Elimination method. (9+8)
__________________
Answered By StudyChaCha Member
Reply With Quote
Reply


Tags
model papers

Reply to this Question / Ask Another Question
Your Username: Click here to log in

Message:
Options



All times are GMT +6. The time now is 03:59 AM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, vBulletin Solutions Inc.
Search Engine Friendly URLs by vBSEO 3.6.0 PL2

1 2 3 4 5 6 7 8