Course Code: BCSL-058
Course Title: Computer oriented Numerical techniques Lab Assignment
Number : BCA(5)/L-058/Assignment/2019-20
Maximum Marks: 50
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.
Write a program in C/C++ to find the solution of a system of linear equations (given below), by using Gauss- Elimination method:
Write a program in C/C++ to determine the approximate value of the definite integral (I), by using Simpson’s (1/3)rd rule:
Using step size (ℎ) = 0.2 .
Write a program in C/C++ to find the value of Sin(𝜋/6) by using Lagrange’s Interpolation, the related data is given below
x : 0 𝜋 /4 𝜋 /2
y= Sin(x) : 0 0.70711 1.0
Write a program in C/C++ to calculate the value of “cos 𝑥” by using the series expansion given below:
Note: Evaluate cos 𝑥 only up to the first three terms.
Also, find the value of cos 𝑥 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.
Write a program in C/C++ to find the root of the following equation by using “Bisection Method” :
Write a program in C/C++ to approximate the value of Integral (I), by using Trapezoidal rule: I=∫𝑑𝑥√5+𝑥10.2
Using step size (ℎ)=0.2.
Write a program in C or C++ to demonstrate the operation of the following operations, for the function 𝑓(𝑥)=𝑥2+𝑥+7∶
(a) Forward Difference Operator
(b) Central Difference Operator
Write a program in C or C++ to calculate the value of 𝑒𝑥 by suing its series expansion, given below :
Note: Evaluate 𝑒𝑥only up to the first three terms.
Also, find the value of 𝑒𝑥 by using the inbuilt function and compare it with the result produced by your program.