PAPER1- LINEAR ALGEBRA AND COMPLEX ANALYSIS
NAME OF CHAPTER AND THEIR NOTES
[LINEAR ALGEBRA]
LINEAR ALGEBRA COMPLETE NOTES IN HINDI
UNIT 1
Vector space, Subspace, Linear combination and Linear span, Linear dependence and independence
Unit-II
Basis and dimension of finitely generated spaces. Quotient space, Linear transformation, Rank and nullity of linear transformation.
NOT AVAILABLE
Unit-III
Characteristic values and characteristic vectors of matrices.
NOT AVAILABLE
[COMPLEX ANALYSIS]
COMPLEX ANALYSIS COMPLETE NOTES IN HINDI
Unit-4
Geometric representation of complex numbers. Limit, Continuity and differentiability of a complex function. Analytic functions. Cauchy-Riemann equations. Harmonic functions.
ANALYTIC AND HARMONIC FUNCN NOTES IN ENGLISH
UNIT 5
Mapping or Transformation of complex numbers.
COMPLEX MAPPING NOTES IN ENGLISH
PAPER2- MATHEMATICAL STATISTICS AND LINEAR PROGRAMMING
NAME OF CHAPTER AND THEIR NOTES
Unit-I
MOMENTS, Measure of skewness and kurtosis. Probability
NOT AVAILABLE
Unit-II
Random variable, discrete and continuous random variables, Probability distribution of a discrete random variable, Distribution functions.
Unit-III
Discrete and continuous distributions with properties : Bernouli, Binomial, Poisson and Normal.
Unit-4
Linear programming Problems
LP PROBLEM COMPLETE NOTES IN ENGLISH
Unit-V
Dual and primal problems. Assignment problems.
LP PROBLEM COMPLETE NOTES IN ENGLISH
PAPER3- NUMERICAL ANALYSIS AND C-PROGRAMMING
NAME OF CHAPTER AND THEIR NOTES
UNIT 1:
Principles of C Programming, Array, User defined function in C
UNIT 2:
Operators : forward difference , backward difference, Shift E, Inverse shift E-1, Differentiation D, Central -Difference , Mean difference , Central sum , Divided difference
NUMERICAL ANALYSIS OPERATOR NOTES IN ENGLISH
UNIT 3:
Interpolation with equal and unequal intervals, Central difference interpolation, inverse interpolation.
UNIT 4:
Numerical differentiation and Numerical –Integration: Trapezoidal rule, Weddle rule, Simpson’s rules, Gauss quadrature formula.
NUMERICAL INTEGRATION NOTES IN HINDI
UNIT 5:
Solution of equations : Bisection method, regula-falsi method and Newton- Raphson method. Solution of ordinary differential equations : Picard’s method and Euler’s method.
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