MTH603 Final Term Past Papers Combined

FINALTERM EXAMINATION Spring 2010 MTH603- Numerical Analysis (Session - 2)

Q1. Symbol used for forward differences is (1 marks)

δ

µ

Q2. The relationship between central difference operator and the shift operator is given by (1 marks)

δ = Ε −Ε

δ = Ε + Ε

δ = Ε + Ε

δ = Ε −Ε

Q3. Muller’s method requires --------starting points (1 marks)

1
2
3
4

Q4. If S is an identity matrix, then (1 marks)

S S tS S
All aretrue t S S

Q5. If we retain r+1 terms in Newton’s forward difference formula, we obtain a (1 marks)

polynomial of degree ---- agreeing with xy at 0, 1,..., r x x x

r+2
r+1
r
r-1

Q6. P in Newton’s forward difference formula is defined as (1 marks)

x x p h

x x p h

n x x p h

n x x p h

Q7. Octal number system has the base --------------- (1 marks)

2
8
10
16

Q8. Newton’s divided difference interpolation formula is used when the values of the independent variable are (1 marks)

Equally spaced

Not equally spaced

Constant
None of the above

Q9. Given the following data (1 marks)

x f x

Value of (2,4) f is

1.5

3
2

1

Q10. If (1 marks)

y x is approximated by a polynomial np x of degree n then the error is given by

n x y x P x ε

n x y x P x ε

n x P x y x ε

n x y x P x ε