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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KB 08

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – ZOOLOGY

THIRD SEMESTER – November 2008

    ZO 3875 – BIOMATHEMATICS

 

 

 

Date : 10-11-08                 Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

Section A

Answer ALL questions:                                                               (10 x 2 = 20)

 

1. Write a note on World Wide Web (WWW)
2. What are Nodes and Sites?
3. What is called Relational Database Management System (RDMS)?
4. Comment on ‘Data Mining’
5. Expand NCBI, EMBL, ExPASy and HTML

6. If A =, find .
7. Write the expansion of .
8. Define a complete graph.

1. If , find
2. Integrate  with respect to x.

 

Section B

 

Answer any FOUR questions:                                                   (4 x 10 = 40)

 

1. Explain the types of Databases
2. Write notes on Sequence Alignment Methods
3. Explain ‘Flow charting’

14. If , then show that.
15. Define adjacency matrix and find the same for the following graph
16. Find the maxima and minima of

 

 

Section C

 

Answer any TWO questions:                                                     (2 x 20 = 40)

 

1. Write notes on the following
   1. Data Processing
   2. Advantages and disadvantages of C
   3. ‘Tree view’ and ‘Molscript’
   4. FASTA and BLAST
2. Explain the characteristics of JAVA

19. (a) . If A =, find the co-factor of the matrix.

(b)Solve the system of equations using matrices
(8+12)

20. (a) Find the coefficient of in the expansion of .

(b) Show that in any group of two or more people there are always two with exactly the same number of friends inside the group..

(c) Evaluate (i)   (ii) .       (5+5+10)     

 

 

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