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  • 11:27 PM, Sunday, 20 Sep 2020


Course Postgraduate
Semester Sem. I
Subject Code MA812
Subject Title Mathematical Methods

Syllabus

 

Linear Algebra:  n- dimensional Euclidean spaces, linear transformation, Matrices, Eigen values and Eigen vectors, Generalised  inverses, SVD.

Numerical Methods: Numerical Solution of nonlinear equations, Direct and iterative methods to solve system of linear equations, Numerical integration – Trapezoidal and Simpson’s rule, Interpolation, Splines and curve fitting, Numerical solution of ODE –Euler’s method and 4th order Runge- Kutta Method.

Optimization Techniques: Maxima and Minima of functions of several variables, saddle point, Lagrange Multipliers, Steepest- Descent method.

 Probability Distribution and Mathematical Statistics: Probability Distributions: Binomial, Poison and Normal

Sampling theory :Central Limit Theorem, Difference Between Two Sample Proportions, Sample Mean and Variance, Sample Proportion, Sampling Distributions, Sampling Procedures, Statistics for Normal Random Variables, Confidence interval, Testing of Hypothesis, Goodness of fit

Text Books

1)      Stewart, J., Calculus: Early Transcendental, 5th ed., Brooks/Cole (2007).

2)      Kreyszig, E., Advanced Engineering Mathematics, 9th ed., John Wiley (2005).

 

References

1)      K B Datta: Matrix and Linear Algebra.

2)      S.S Rao, Optimization Theory and Applications, Wiley eastern, 1984.

3)      Applied Statistics and Probability for Engineers, Douglas C. Montgomery, 6th edition, 2016