KL Deemed to be University B.Tech Computer Science and Engineering Model Mathematics IV model question papers



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Posted Date: 01 Apr 2013      Posted By:: Jeya Priya    Member Level: Gold  Points: 5 (₹ 5)

2011 KL Deemed to be University B.Tech. Computer Science and Engineering B.Tech Computer Science and Engineering Model Mathematics IV Question paper



Course: B.Tech. Computer Science and Engineering   University/board: KL Deemed to be University

Are you looking for the old question papers of K L University B.Tech Computer Science and Engineering Model Mathematics IV ? Here is the previous year question paper from K L University. This is the original question paper from the B.Tech Computer Science and Engineering Model Mathematics IV first semester exam conducted by K L University in year 2011. Feel free to download the question paper from here and use it to prepare for your upcoming exams.



KONERU LAKSHMAIAH COLLEGE OF ENGINEERING
Autonomous
Model ques. Paper
Mathematics – IV
II B.Tech (I Sem)



KONERU LAKSHMAIAH COLLEGE OF ENGINEERING

Autonomous

Model Question Paper



Mathematics IV Time : 3hrs

II B.Tech (I Sem) (Common to CSE & ECE) Max. Marks : 60



Note: Answer all questions. All questions carry equal marks.



UNIT - I



1. (a) Define Fourier series of a function in (a,a + 2p)

Find the Fourier series of x x2 in (-p, p) (1+5) M



(b) Expand f(x) = e-x as a Fourier series in the interval (-c, c).



OR



2. (a) Obtain cosine and sine series for f(x) = x in the interval 0 x p.

Hence show that 6M

(b) Derive Parsevals formulae.



UNIT - II
6M

3 (a) Find the Fourier transform of



f(x) = 1 for |x| < 1

0 for |x| > 1 (4+2) M

(b) Find the Fourier transform of , for - < x < . 6M



OR

4 (a) Find the Fourier sine and cosine series of (3+3) M



f(x) = 1 for 0 x < a

0 for x a

(b) Prove that psinq if 0 q p 6M

0 if q p

















UNIT - III

5 (a) From the following table of values of x and y , obtain for x = 1.2. 6M




x

1.0

1.2

1.4

1.6

1.8

2.0

2.2


y

2.7183

3.3201

4.0552

4.9530

6.0496

7.3891

9.0250




(b) From the following table of values of x and y , obtain for x = 3 6M




x

0

1

2

3

4

5

6


y

6.9897

7.4036

7.7815

8.1291

8.4510

8.7500

9.0309




OR

6 (a) Evaluate by simpsons 1/3 rule with 4 strips and 8 strips respectively. 6M

(b) Compute the values of I by using trapezoidal rule with h = 0.25. 6M

UNIT - IV

7 (a) Using Taylors series method solve = x + y, given y=0 when x=1, to x=1.2 with h=0.1. 6M

(b) Solve =1 + xy, given that y=1 when x=0 in (0, 0.5) for h = 0.1 by using Picards method. 6M

OR

8 (a) Apply Runge Kutta method of Forth order to solve the following equation.

, y(0)=1. obtain y when x = 0.2 6M

(b) Solve the boundary value problem y11 64y + 10 = 0 with y(0) = y(1) = 0

by the finite difference method



UNIT - V

6M

9 (a) Define set and prove that if A,B and C are sets

(i) Ax(B C) = (A x B) (A x C)

(ii) A(BC) = (AB) (A C) 6M



(b) If A and B be two sets. If f: AB is one, onto then f-1 : B A is also one one and onto 6M



OR

10. (a) Define Equivalence relation.

Is the relation is brother of an equivalence relation on a set of human beings ? why? (1 + 5) M



(b) Define group of a non empty set G. Show that the set N of all natural numbers is not a

Group with respect to addition. (1 + 5)M





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