{"id":1754,"date":"2021-03-21T08:34:27","date_gmt":"2021-03-21T08:34:27","guid":{"rendered":"https:\/\/bcisnotes.com\/thirdsemester\/?p=1754"},"modified":"2021-03-21T08:34:27","modified_gmt":"2021-03-21T08:34:27","slug":"numerical-methods-fall-2016-pokhara-university","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-fall-2016-pokhara-university\/","title":{"rendered":"Numerical Methods || Fall 2016 || Pokhara University"},"content":{"rendered":"\n\n\n\n\n\n
Level:\u00a0 Bachelor<\/td>\nSemester \u2013 Fall<\/td>\nYear: 2016<\/td>\n<\/tr>\n
Programme: BCIS<\/td>\nFull Marks: 100<\/td>\n<\/tr>\n
Course: Numerical Methods<\/td>\nPass Marks: 45<\/td>\n<\/tr>\n
Time:\u00a0 3hrs.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n
Candidates are required to give their answers in their own words as far as practicable.<\/em><\/td>\n<\/tr>\n
The figures in the margin indicate full marks.<\/em><\/td>\n<\/tr>\n
\n

<\/h2>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
<\/td>\nSection “A”<\/p>\n

Very Short Answer Questions<\/strong><\/p>\n

Attempt all the questions.<\/td>\n

 <\/p>\n

 <\/p>\n

10\u00d72<\/td>\n<\/tr>\n

1.<\/td>\nWhat are the errors in numerical methods?<\/td>\n<\/td>\n<\/tr>\n
2.<\/td>\nWhat are the bracketing and non-bracketing method?<\/td>\n<\/td>\n<\/tr>\n
3.<\/td>\nWhat is meant by ill-conditioning?<\/td>\n<\/td>\n<\/tr>\n
4.<\/td>\nDerive the Trapezoidal rule.<\/td>\n<\/td>\n<\/tr>\n
5.<\/td>\nDerive the formula for Laplace and Poisson’s equation.<\/td>\n<\/td>\n<\/tr>\n
6.<\/td>\nDoes the following system have a unique solution or not?<\/p>\n

X+2y=5<\/p>\n

3x+y=5<\/td>\n

<\/td>\n<\/tr>\n
7.<\/td>\nUsing the Picard method find the solution of dy\/dx=1+xy up to second approximation where y(0)=0.<\/td>\n<\/td>\n<\/tr>\n
8.<\/td>\nDerive the formula for Newton\u2019s Divided and difference.<\/td>\n<\/td>\n<\/tr>\n
9.<\/td>\nWhat is the initial value problem? Differentiate initial value problem and boundary value problem in brief.<\/td>\n<\/td>\n<\/tr>\n
10.<\/td>\nDistinguish between ordinary and partial differential equations.<\/td>\n<\/td>\n<\/tr>\n
<\/td>\nSection “B”<\/p>\n

Descriptive Answer Questions<\/strong><\/p>\n

Attempt any six<\/em><\/strong> questions<\/td>\n

 <\/p>\n

 <\/p>\n

6\u00d710<\/td>\n<\/tr>\n

11.<\/td>\nFind the positive root of the equation corrects up to 5 decimal places using the Bisection Method.<\/td>\n<\/td>\n<\/tr>\n
12.<\/td>\nUsing the power method, Find the largest Eigenvalue and corresponding Eigenvector of the following matrix.<\/td>\n<\/td>\n<\/tr>\n
13.<\/td>\nFit a second-degree parabola to the following data:<\/p>\n\n\n\n\n\n
X:<\/td>\n1.0<\/td>\n1.5<\/td>\n2.0<\/td>\n2.5<\/td>\n3.0<\/td>\n3.5<\/td>\n4.0<\/td>\n<\/tr>\n
Y:<\/td>\n1.1<\/td>\n1.3<\/td>\n1.6<\/td>\n2.0<\/td>\n2.7<\/td>\n3.4<\/td>\n4.1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/td>\n<\/td>\n<\/tr>\n
14.<\/td>\nThe following table gives the velocity of an object at various points in time:<\/p>\n\n\n\n\n\n\n\n\n
Time(Seconds)<\/td>\n1<\/td>\n1.2<\/td>\n1.6<\/td>\n1.8<\/td>\n2.2<\/td>\n2.4<\/td>\n2.8<\/td>\n<\/tr>\n
Velocity (m\/Sec)<\/td>\n9<\/td>\n9.5<\/td>\n10.2<\/td>\n11.0<\/td>\n13.2<\/td>\n14.7<\/td>\n18.7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Find the acceleration of the object at t=2 Sec. Assume a suitable value for h.<\/td>\n

<\/td>\n<\/tr>\n
15.<\/td>\nSolve the following equations by using the Dolittle method.<\/p>\n

3x+2y+z=10<\/p>\n

2x+3y+2z=14<\/p>\n

X+2y+3z=14<\/td>\n

<\/td>\n<\/tr>\n
16.<\/td>\nUse Romberg’s method to compute correct to 4 decimal places.<\/td>\n<\/td>\n<\/tr>\n
17.<\/td>\nSolve initial value problem , y(0)=1 to find y(0.4) by using h=0.1.<\/td>\n<\/td>\n<\/tr>\n
 <\/p>\n

 <\/p>\n

18.<\/td>\n

Section “C”<\/p>\n

Case Analysis<\/strong><\/p>\n

The monthly faculty salary in three departments of an institute is given<\/p>\n

below. Assuming that the salary for a particular category is the same in all the departments.<\/span><\/p>\n\n\n\n\n\n\n\n
Department<\/td>\nNumber of Faculty<\/td>\nTotal Salary<\/p>\n

(in thousand)<\/td>\n<\/tr>\n

Professor<\/td>\nAsst. Professor<\/td>\nLecturer<\/td>\n<\/tr>\n
A<\/td>\n2<\/td>\n2<\/td>\n4<\/td>\n60<\/td>\n<\/tr>\n
B<\/td>\n3<\/td>\n1<\/td>\n2<\/td>\n50<\/td>\n<\/tr>\n
C<\/td>\n1<\/td>\n4<\/td>\n3<\/td>\n60<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

i.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Model the above problem into a system of a linear equation to determine the salary of each category of faculty.<\/p>\n

ii.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the salary of each category of faculty<\/p>\n

iii.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Write an algorithm to compute the above problem.<\/td>\n

 <\/p>\n

 <\/p>\n

20<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

You may also like:<\/strong> Computer Architecture and Microprocessors || Fall 2017 || Pokhara University<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Level:\u00a0 Bachelor Semester \u2013 Fall Year: 2016 Programme: BCIS Full Marks: 100 Course: Numerical Methods Pass Marks: 45 Time:\u00a0 3hrs.   Candidates are required to […]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":1756,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"yoast_head":"\nNumerical Methods || Spring 2016 || Pokhara University<\/title>\n<meta name=\"description\" content=\"Level:\u00a0 Bachelor Semester \u2013 Fall Year: 2016 Programme: BCIS Full Marks: 100Course: Numerical Methods Pass Marks: 45Time:\u00a0 3hrs.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-fall-2016-pokhara-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" 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