solved assignment BCA 5th semester 2019 Ignou
Course Code: BCSL-058
Course Title: Computer oriented Numerical techniques Lab Assignment
Number : BCA(5)/L-058/Assignment/2019-20
Maximum Marks: 50
Weightage: 25%
Last Dates for Submission: 15th October 2019 (For July 2019 Session)
15th April 2020 (For January 2020 Session
This assignment has eight problems of 40 marks, each of 5 marks. All problems are compulsory. 10 marks are for viva voce. Please go through the guidelines regarding assignments given in the program guide for the format of the presentation.
Note: The programs are to be written in C/C++ and/or in MS-Excel/Any spreadsheet.
Q1.
Write a program in C/C++ to find the solution of a system of linear equations (given below), by using Gauss- Elimination method:
π₯+π¦+π§=2
π₯β2π¦+3π§=14
π₯+3π¦β6π§=β23
Q2.
Write a program in C/C++ to determine the approximate value of the definite integral (I), by using Simpsonβs (1/3)rd rule:
I=β«π₯1/3 ππ₯,1.00.2
Using step size (β) = 0.2 .
Q3.
Write a program in C/C++ to find the value of Sin(π/6) by using Lagrangeβs Interpolation, the related data is given below
x : 0 π /4 π /2
y= Sin(x) : 0 0.70711 1.0
Q4.
Write a program in C/C++ to calculate the value of βcos π₯β by using the series expansion given below:
cosπ₯=1βπ₯22!+π₯44!βπ₯66!+β―
Note: Evaluate cos π₯ only up to the first three terms.
Also, find the value of cos π₯ by using the inbuilt function.
Compare the results i.e., the result produced by your program and that produced by the inbuilt function. Based on the comparison, determine the error.
Q5.
Write a program in C/C++ to find the root of the following equation by using βBisection Methodβ :
Equation:
π₯3β5π₯+1=0;π₯β[1,2]
Q6.
Write a program in C/C++ to approximate the value of Integral (I), by using Trapezoidal rule: I=β«ππ₯β5+π₯10.2
Using step size (β)=0.2.
Q7.
Write a program in C or C++ to demonstrate the operation of the following operations, for the function π(π₯)=π₯2+π₯+7βΆ
(a) Forward Difference Operator
(b) Central Difference Operator
Q8.
Write a program in C or C++ to calculate the value of ππ₯ by suing its series expansion, given below :
ππ₯=1+π₯+π₯22!+π₯33!+β―
Note: Evaluate ππ₯only up to the first three terms.
Also, find the value of ππ₯ by using the inbuilt function and compare it with the result produced by your program.