Syllabus (MATHEMATICS)

Course Type: MAJ-13

Semester: 7

Course Code: BMTMMAJ13T

Course Title: Computer Aided Numerical Practical in C (P)

(L-P-Tu): 0-6-0

Credit: 6

Practical/Theory: Practical

Course Objective: To be done.

Learning Outcome: Course Outcomes (CO): The whole course will have the following outcomes: Upon successful completion, students will be able to CO1: write the algorithms and sketch the flowcharts of the given numerical problems. CO2: develop a C program for a given algorit

Syllabus:

Unit -1: Problem-I: Known Problems [Credit: 6, 180L]

List of Problems for C Programming:

1. Finding a real Root of an equation by,

(a) Fixed point iteration.

(b) Newton-Rapson’s method.

2. Interpolation (Taking at least six points) by,

(a) Lagrange’s formula.

(b) Newton’s Forward Formula.

(c) Newton’s Backward Formula.

3. Integration by

(a) Trapezoidal rule.

(b) Simpson’s 1/3^rd rule (taking at least 50 sub-intervals).

4. Solution of a 1storder ordinary differential equation by

(a) Modified Euler’s Method.

(b) Fourth-order R. K. Method (taking at least four steps).

Unit -2: Problem-II: Unknown Problems

Statistical and other simple programming like

(a) To find mean, median, mode, standard deviation

(b) Ascending, descending ordering of numbers

(c) Finite sum of a series

(d) Fibonacci numbers

(e) Checking of prime numbers

(f) Factorial of a number

(g) Solution of a quadratic equation

(h) L.C.M. & G.C.D. of two positive integers etc.

Unit -3: Viva-voce

Viva-voce to be given on the day of examination.

Reading References:

1. S.A. Mollah; Numerical Analysis and Computational Procedures.
2. Yashavant Kanetkar; Let Us C; BPB Publications.
3. K.E. Atkinson; An Introduction to Numerical Analysis; John Wiley and Sons; 1978.
4. C. Xavier; C Language and Numerical Methods; New Age Intl (P) Ltd. Pub.
5. B.S. Gottfried; Programming with C; TMH.
6. E. Balaguruswamy; Programming in ANSI C; TMH.
7. N. Datta; Computer Programming and Numerical Analysis-An Integrated Approach (Revised edition with C); Universities Press.