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PHYSICS-C V: MATHEMATICAL PHYSICS-II
Unit 1 : Introduction to Numerical computation software Scilab
Session 1 : Introduction to Scilab
Session 2 : Advantages and disadvantages
Session 3 : Scilab environment
Session 4 : Command window
Session 5 : Figure window
Session 6 : Edit window
Session 7 : Variables and arrays
Session 8 : Initialising variables in Scilab
Session 9 : Multidimensional arrays
Session 10 : Sub-array
Session 11 : Special values
Session 12 : Displaying output data
Session 13 : data file
Session 14 : Scalar and array operations
Session 15 : Hierararchy of operations
Session 16 : Built in Scilab functions
Session 17 : Introduction to plotting
Session 18 : 2D and 3D plotting
Session 19 : Branching Statements and program design
Session 20 : Relational and logical operators
Session 21 : the while loop
Session 22 : for loop
Session 23 : details of loop operations
Session 24 : break and continue statements
Session 25 : nested loops
Session 26 : logical arrays and vectorization
Session 27 : User defined functions
Session 28 : Introduction to Scilab functions
Session 29 : Variable passing in Scilab
Session 30 : optional arguements
Session 31 : preserving data between calls to a function
Session 32 : Complex and Character data
Session 33 : string function
Session 34 : Multidimensional arrays an introduction to Scilab file processing
Session 35 : file opening and closing
Session 36 : Binary I/o functions
Session 37 : comparing binary and formatted functions
Session 38 : Numerical methods and developing the skills of writing a program.
Unit 2 : Curve fitting, Least square fit, Goodness of fit, standard deviation using Scilab
Session 39 : Ohms law calculate R
Session 40 : Hookes law
Session 41 : Calculate spring constant
Session 42 : Given Bessel’s function at N points find its value at an intermediate point.
Unit 3 : Solution of Linear system of equations by Gauss elimination method and Gauss Seidal method.
Session 43 : Solution of mesh equations of electric circuits (3 meshes)
Unit 4 : matrices, Inverse of a matrix, Eigen vectors, eigen-values problems
Session 44 : Solution of coupled spring mass systems (3 masses)
Unit 5 : Generation of Special functions using User defined functions in Scilab
Session 45 : Generating and plotting Legendre Polynomials
Session 46 : Generating and plotting Bessel function
Unit 6 a) : First order Differential equation Euler, modified Euler and Runge- Kutta (RK) second and Fo
Session 47 : First order differential equation : Radioactive decay
Session 48 : Current in RC, LC circuits with DC source
Session 49 : Newton’s law of cooling
Session 50 : Classical equations of motion
Unit 6 b) : Second order differential equation Fixed difference method
Session 51 : Second order Differential Equation : Harmonic oscillator (no friction)
Session 52 : Damped Harmonic oscillator
Session 52.1 : Overdamped
Session 52.2 : Critical damped
Session 52.3 : Oscillatory
Session 53 : Forced Harmonic oscillator
Session 53.1 : Transient
Session 53.2 : Steady state solution
Session 54 : Apply above to LCR circuits also
Unit 6 c) : Partial differential equations
Session 55 : Partial Differential Equation : Wave equation
Session 56 : Heat equation
Session 57 : Poisson equation
Session 58 : Laplace equation
Unit 7 : Using Scicos/xcos
Session 59 : Generating sine wave, square wave, sawtooth wave
Session 60 : Solution of harmonic oscillator
Session 61 : Study of heat phenomenon
Session 62 : Phase space plots
Session 53.2 : Steady state solution
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