{"id":1762,"date":"2021-03-22T08:10:22","date_gmt":"2021-03-22T08:10:22","guid":{"rendered":"https:\/\/bcisnotes.com\/thirdsemester\/?p=1762"},"modified":"2021-03-22T08:17:39","modified_gmt":"2021-03-22T08:17:39","slug":"numerical-methods-spring-2017-pokhara-university","status":"publish","type":"post","link":"https:\/\/bcisnotes.com\/thirdsemester\/question-bank\/numerical-methods-spring-2017-pokhara-university\/","title":{"rendered":"Numerical Methods || Spring 2017 || Pokhara University"},"content":{"rendered":"\n\n\n\n\n\n
Level:\u00a0 Bachelor<\/td>\nSemester \u2013Spring<\/td>\nYear: 2017<\/td>\n<\/tr>\n
Program: 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\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>\nDefine Error in numerical Process with its type.<\/td>\n<\/td>\n<\/tr>\n
2.<\/td>\nState the iterative formula for bisection method to solve f(x) = 0<\/td>\n<\/td>\n<\/tr>\n
3.<\/td>\nWhat are possible solutions to a system of linear equations?<\/td>\n<\/td>\n<\/tr>\n
4.<\/td>\nDefine ill-conditioned system.<\/td>\n<\/td>\n<\/tr>\n
5.<\/td>\nSolve the system of linear equations using the Gauss Jordan method<\/strong>.<\/p>\n

-2x – 3y = 7<\/p>\n

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

<\/td>\n<\/tr>\n
6.<\/td>\nState the iterative formula for false position method to solve f(x) = 0<\/td>\n<\/td>\n<\/tr>\n
7.<\/td>\nDefine the Initial value problem with an example.<\/td>\n<\/td>\n<\/tr>\n
8.<\/td>\nWhat is the difference between the bracketing and non-bracketing method?<\/td>\n<\/td>\n<\/tr>\n
9.<\/td>\nWhy Gauss-Seidel method is better than Jacobi\u2019s method?<\/td>\n<\/td>\n<\/tr>\n
10.<\/td>\nFind f\u2019(1)<\/strong> with h = 0.5 for f(x) = exp(x) – sinh(x)<\/strong> using 3-points backward difference<\/em><\/strong> formula.<\/td>\n<\/td>\n<\/tr>\n
<\/td>\nSection “B”<\/p>\n

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

 <\/p>\n

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

11.<\/td>\nUsing Newton\u2019s method<\/strong>, find the root of the equation 3x – 1 = cos(x) such that absolute error at our calculated root should be less than 10-3<\/sup><\/td>\n<\/td>\n<\/tr>\n
12.<\/td>\nSolve the following set of equations by using the Crout<\/strong> algorithm.<\/td>\n<\/td>\n<\/tr>\n
13.<\/td>\nEvaluate the integration by using 2-point and 3-point Gaussian quadrature<\/strong> formula.<\/td>\n<\/td>\n<\/tr>\n
14.<\/td>\nGrowth of bacteria (N) in a LAB after t hrs. is given by<\/p>\n\n\n\n\n\n\n\n\n
Time t<\/td>\n0<\/td>\n1<\/td>\n2<\/td>\n3<\/td>\n4<\/td>\n<\/tr>\n
N<\/td>\n32<\/td>\n47<\/td>\n65<\/td>\n92<\/td>\n132<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Fit a curve of the form N = bat<\/sup>\u00a0 and estimate bacteria when t =5 hrs.<\/p>\n

\u00a0<\/strong><\/td>\n

<\/td>\n<\/tr>\n
15.<\/td>\nSolve the differential equation y\u2019\u2019<\/sup>– y\u2019 <\/sup>+ 2x = 1<\/strong>at x = 0.2 using <\/strong>RK-2 method with y(0) = 1 and y\u2019<\/sup>(0) = -1.<\/td>\n<\/td>\n<\/tr>\n
16.<\/td>\nSolve the PDE Txx<\/sub>+ Tyy<\/sub>= 2(x+y) over the square domain with sides \u00a0\u00a0\u00a0\u00a0x = 0 = y ,x = 3 = y and T = 0 on the boundary and mesh length = 1.<\/td>\n<\/td>\n<\/tr>\n
17.<\/td>\nSolve the differential equation \u00a0by using RK-4 method<\/strong> for y(0.5) with y(0) = 2 and\u00a0 h = 0.25<\/td>\n<\/td>\n<\/tr>\n
 <\/p>\n

 <\/p>\n

18.<\/td>\n

Section “C”<\/p>\n

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

The monthly faculty salary in three departments of Pokhara University is given below. Assuming that the salary for a particular category is the same in all the departments, calculate the salary of each category of faculty. Use any suitable method.<\/p>\n\n\n\n\n\n\n
Department<\/strong><\/td>\nNumber of faculty<\/u><\/p>\n

Prof.\u00a0\u00a0\u00a0 Asst. Prof.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Lect.<\/td>\n

Total <\/strong><\/p>\n

(in thousands<\/strong>.)<\/td>\n<\/tr>\n

IT<\/td>\n2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 4<\/td>\n60<\/td>\n<\/tr>\n
Management<\/td>\n3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 2<\/td>\n50<\/td>\n<\/tr>\n
Humanities<\/td>\n1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 3<\/td>\n60<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Questions: <\/strong><\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Formulate the appropriate system of linear equations to determine the salary of each category of faculty in each month assuming that the salary for a particular category is the same in all the departments.<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 Write an algorithm to obtain the salary of each category of faculty using the system obtained from a<\/strong>.<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Determine the salary of each category of faculty using any suitable method.<\/p>\n

 <\/td>\n

 <\/p>\n

 <\/p>\n

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

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

Level:\u00a0 Bachelor Semester \u2013Spring Year: 2017 Program: BCIS Full Marks: 100 Course: Numerical Methods Pass Marks: 45 Time:\u00a0 3hrs.   Candidates are required to give […]<\/a><\/p>\n<\/div>","protected":false},"author":2,"featured_media":1764,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6,10],"tags":[],"yoast_head":"\nNumerical Methods || Spring 2017 || Pokhara University<\/title>\n<meta name=\"description\" content=\"Level:\u00a0 Bachelor Semester \u2013Spring Year: 2017Program: BCIS Full Marks: 100Course: Numerical Methods Pass Marks: 45\" \/>\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-spring-2017-pokhara-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" 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