LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – ZOOLOGY

AF 21

THIRD SEMESTER – NOV 2006

ZO 3875 – BIOMATHEMATICS

 

Date & Time : 06-11-2006/9.00-12.00       Dept. No.                                                       Max. : 100 Marks

 

PART – A

Answer all the questions:                                                                                          10 x 2 = 20

 

1  Find the value of x and y if     x       9                2         9

=

0       5                  0        y

2.Find the value of  6P ₂ .

3.Expand  ( a + b)ⁿ using binomial expansion

4 Define an Eulerian trail with an example.

5.Give an example of a ( 5,3 ) graph

6.Find  the limit of the function f(x) = x² – 6x    as  x        2

X³ – 5x

7. Differentiate HTML and HTTP.
8. What is Microarray?
9. Comment on Intron.
10. What is Motif?

PART – B

Answer any FOUR of the following:                                                                      10 x 4 = 40

11. Solve using “inverse of a matrix”

3x + y + z  =  3

2x +2y + 5z = -1

x – 3y – 4z = 2

12. Show that the value of e lies between 2 and 3.
13. (i)Find n if 2 (5 P₃ ) = n P ₄.

(ii)Show that n C _r = n C _{n – r .}

14. Find the differential, d(uv) and d(u/v) if u(x) = x³ – 7 and v(x)  = 5x
15. Explain the dynamic programming in multiple sequence alignment.
16. Develop a database of your own field of interest in biology.

PART – C

Answer any TWO of the following:                                                                                    20 x 2 = 40

17. (i)Prove that

1   2   3

3   9   8

0   4   3

 

can be expressed as a sum of symmetric and skew symmetric matrices.

(ii).Find the coefficient of   x in

 

18. (i)Prove that (AB)= B A Where A =   1   2   5     B =       3   0   8

3   9   8                  9    2   5

0   4   3                  4    3  2

 

(ii) Write any four types of matrices with suitable examples

 

19. Describe the various application aspects of bioinformatics.
20. Write an essay on multiple sequence alignment.

 

 

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