If you are on this Page You Want to Download IGNOU BCS-054 Important Questions 2021 Computer Oriented Numerical Techniques In this section, You will find all the Exam important Questions of all courses which are divided by the Section “SEMESTER WISE”.
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| S.NO | Important Question Of Try to Solve These Questions |
| 1 | (a) Find the product of x and y given in above. (b) Explain what is ‘overflow’, with a suitable example of multiplication. |
| 23 | (a) Write the following system of linear equations in matrix form : — 9x + 17y = — 8 12x = 23 (b) Solve the following system of linear equations using Gauss elimination method : — 7x+ 5y= 3 2x-8y=-12 |
| 4 | (a)Write briefly the steps of the Secant (B)Method to find out the roots of an equation. |
| 5 | (a)State the following two formulae for interpolation (for equal intervals) (i) Stirling’s Formula (ii) Newton’s Backward Difference Formula (1) Explain the concepts of ‘order’ and ‘degree’ of a differential equation, with an example. |
| 6 | (a)Discuss the merits and demerits of direct approach over iterative approach for solving a system of linear equations. |
| 7 | (a) Explain with suitable example, the advantages of using Normalized form of representing numbers (b) Find the product of two numbers given in question number 1(b) above, in floating point notation. |
| (a)Write briefly the steps of bisection method to find roots of an equation. | |
| 8 | (a)Explain the relative advantages of direct methods over iterative methods for solving a system of linear equations. |
| 9 | (a) State the following formulae : 4 (i) Stirling formula for Interpolation (ii) Bessel’s formula for Interpolation (b) Explain the concept of Boundary Value Problem with suitable example. |
| 10 | (a)What are the pitfalls of Gauss elimination method ? Discuss with the help of an example for each. |
| S.NO | Important Question Of Try to Solve These Questions |
| 1 | (a)olve the following system of linear equations using Gaussian elimination method using pivotal condensation. 9 x + y + 10z = 14 5x – y + z = 9 x – 4y + z = – 5 |
| 2 | (a)Write the notation and the formula in terms of f (x) and h for the following : (i) Central difference (ii) Shift operator |
| 3 | (a)Using the Gauss-Seidel iterative method, solve the following system of linear equations : 2x + y = 7 x + 4y = 14 |
| 4 | (a)Using Newton-Raphson method, find the cube root of 10 with initial value as 2. Perform 3 iterations. (b)How is truncation error related to Taylor series ? Explain with the help of an example. |
| 5 | (a)Derive the formula of Trapezoidal rule using a diagram. |
| 6 | Write Stirling’s formula of numerical differentiation. Briefly discuss its application with suitable example |
| 7 | Compare direct methods and iterative methods of solving linear algebraic equations. Give merits and demerits of each. Give one name of the methods for each category i.e. direct and indirect methods. |
| 8 | Explain Newton-Raphson’s iterative method for finding the qth root of a positive number N. Also find the cube root of 10 correct upto 3 places of decimal, taking initial estimate as 2.0. |
| S.NO | Short Questions |
| 1 | (i) Precision (ii) Accuracy (iii) Significant digit |
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