+3-III-S-CBCS-Sc(H)-Core-V-Phy-Pract.-R&B

2022 | FullMarks:25 | Answer all questions.

1) Introduction to Numerical computation software Scilab : Introduction to Scilab, Advantages and disadvantages, Scilab computation software Scilab environment command window, Figure window, Edit window, Variables and arrays,

Initialising variables in Scilab, Multidimensional arrays, Subarray, Special values Displaying output data, data file, Scalar and array operations, Hierarchy of operations, Built in Scilab functions, Introduction to plotting, 2D and 3D plotting (2),

Branching Statements and program design, Relational and logical operators, the while loop, for loop, details of loop operations, break and continue statements, nested loops,

logical arrays and vectorization (2) User defined fianctions, Introduction to Scilab functions, Variable passing in Scilab, optional arguments, preserving data benveen calls to a function, Complex and Character data, string function, Multidimensional arrays (2) an introduction to Scrlab file processing, file opening and closing. Binary I/O functions, comparing binary and formatted functions, Numerical methods and developing the skills ofwriting a program (2).

Curve fitting, Least square fit Goodness of fit, standard constant Deviation :

Ohms law to calculate R, Hookes law to calculate spring constant solution of Linear system of equations by Gauss elimination Solution method and Gauss Seidal method. Diagonalization matrices, Inverse of a matrix, Eigen vectors, problems : Solution of mesh equations of electric circuits (3 meshes), solution of coupled spring mass systems (3 masses)

Solution of ODE: First order Differential equation Euler, modified Euler, Runge-Kutta methods, Second order differential equation. Fixed difference method: First order differential equations Radioactive decay Current in RC and LC circuits with DC source Newton’s law of cooling Classical equations of motion Second order Differential Equation Harmonic oscillator (no friction) Damped Harmonic oscillator Over damped Critical damped Oscillatory Forced Harmonic Oscillator Transient and Steady state solution Apply above to LCR circuits also