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MTH603 final term 2013

Best of Luck 

1/3 rule. (5)
3/8rule.(5)
Trapozied rule.(5)
Gauess Seidel Method.(5)

Trapoized rule question tha table given .(2)
3/8 rule ka b 2 marks ka ek question tha.(2)
Runge Method K2 (2)

Adam Moultan’s Predictor Corrector Method main ny Predictor wala poucha tha.(3)
Milne’s Predictor Corrector Method main y 4 ki value btyna thi.(2)


Define eigen values corresponing eigen values (2).
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20th july 2013 at 10:00 am 

mcqs were mostly from guass siedal, forward difference and euler method
subjective questions are
1. difference between jacobi's and guass siedel method? ...........(2)
2. write milne's predictor formula for finding differential equation ?? ........(2)
3. evaluate the integral using trapezoidel rule take h=
4.obtain numerically solution of y'=x-y^2, y(0)=2 using euler method to find y at x=1, h=1 …….. (2)
5. define muller’s method ? ……. 3
6. evaluate integral using trapezoidel rule take h=1……. (3)
7. if in solving given differential equation , 0.1, , , , h=1, y3=2 then find the y4 by adam –moulton’s predictor formula .
8. if y’=t^2-2t-y then find next two derivative in the term of t and y .
9. evaluate the integral using simpson’s 3/8 rule
10. use the regula falsi to solve equation x2-10=0(only one iteration required and accuracy upto four decimal places required).
11. evaluate the integral using simpson’s 1/3 , h=1
12. using adam- moulton’s predictor formula find the predicted value of f(0.4) from ordinary differential equation y’=1+xy; y(0)=0; h=0.1
x 0 0.1 0.2 0.3
y 0 .1007 .2056 .3199

-------------------------------------------------------------------
Mth603 (20/7/13) (3:00 pm)
MCQ
 There was 3Q related to eigon Value using power method
 3 Question main Table diya thay and batana tha k Forwar , Backword and centeral main sy konn sa method use kary gain (3no Forward sy hi tha Starting values ko use kiya tha)
 Dividend Difference k 1st order sy related q
 Simpson 1/3 and 3/8 ka aik aik question tha
 Globel error of Simpson 1/3 is equal to? Ans Simpson 3/8
 2 questions main Table k through Trapeziodal rule use kartay huway ans batana tha,
 Euler ka formula and Fourth order R-K k through K1 and K4 k formulay select karnay thay
Short Questions
 Newton-Raphson Method
 Lecture # 33 main example ki tara k 4 questions thay aik simpson 1/3 and 1 simpson 3/8 and 2 through Trapeziodal rule thay sab main h=1 hi use karnay ko kaha tha us nain
 Last R-K and aik 40 ya 39 Lecture ka question tha

Long Questions
 Jacobi’s formula derive karna tha
 Gauss Seidel Method use kar k question solve karna tha
 Simpson 1/3 ko use kartay huway interval 0----8 k through aik long q five marks ka tha

---------------------------------------------------------------------
There was 3Q related to eigon Value using power method
v 3 Question main Table diya thay and batana tha k Forwar , Backword and centeral main sy konn sa method use kary gain (3no Forward sy hi tha Starting values ko use kiya tha)
v Dividend Difference k 1st order sy related q
v Simpson 1/3 and 3/8 ka aik aik question tha
v Globel error of Simpson 1/3 is equal to? Ans Simpson 3/8
v 2 questions main Table k through Trapeziodal rule use kartay huway ans batana tha,
v Euler ka formula and Fourth order R-K k through K1 and K4 k formulay select karnay thay
Short Questions
v Newton-Raphson Method
v Lecture # 33 main example ki tara k 4 questions thay aik simpson 1/3 and 1 simpson 3/8 and 2 through Trapeziodal rule thay sab main h=1 hi use karnay ko kaha tha us nain
v Last R-K and aik 40 ya 39 Lecture ka question tha

Long Questions
v Jacobi’s formula derive karna tha
v Gauss Seidel Method use kar k question solve karna tha
v Simpson 1/3 ko use kartay huway interval 0----8 k through aik long q five marks ka tha

-------------------------------------------------------------------
Runge-Kutta method second order r 4th order 
question b aye issi RK method me se r formulas b puchy mcqs me se
Adams Moltun predictor corrector me se b tha ek long question
Milnes predictor wala b question aya
ek mid me se aya 5 marks ka bisection method 1st iteration krni thi bss
define differnetial operator
what is th erelation between forward differnce and shift operator
differntial operators RK method me se mcqs b bht aye r
1/3 simpson r 3/8 simpson me se b question r mcqs aye kaafi ziada
trpezoidal rule wala b tha ek question
basically paper 5 major topics ko cover kr rha tha
Adams Molton PC method
Milnes PC method
Simpson 1/3 and 3/8
trapezidal
Runge-Kutta method 2nd and 4th order
ackward and forward difference and divided differnce

Mth603         (20/7/13) (3:00 pm)

MCQ

v      There was 3Q related to eigon Value using power method

v      3 Question main Table diya thay and batana tha k Forwar , Backword and centeral main sy konn sa method use kary gain (3no Forward sy hi tha Starting values ko use kiya tha)

v      Dividend Difference k 1st order sy related q

v      Simpson 1/3 and 3/8 ka aik aik question tha

v      Globel error of Simpson 1/3 is equal to? Ans Simpson 3/8

v      2 questions main Table k through Trapeziodal rule use kartay huway ans batana tha,

v      Euler ka formula and Fourth order R-K k through K1 and K4 k formulay select karnay thay

Short Questions

v      Newton-Raphson Method

v      Lecture # 33 main example ki tara k 4 questions thay  aik simpson 1/3 and 1 simpson 3/8 and 2 through Trapeziodal rule thay sab main h=1 hi use karnay ko kaha  tha us nain

v      Last R-K and aik 40 ya 39 Lecture ka question tha

 

Long  Questions

v      Jacobi’s formula derive karna tha

v      Gauss Seidel Method use kar k question solve karna tha

v      Simpson 1/3  ko use kartay huway interval 0----8 k through aik long q five marks ka tha

 

Baqi abi Zain main nahee a raha k kon kon sy question thay par paper easy tha.

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