BIOcoretheorySem 3

ENGINEERING MATHEMATICS IV

MAT 2224

Syllabus

01Formation of Linear Programming problem, Graphical method, Simplex method, Penalty cost and two-phase methods
02Finite sample spaces, conditional probability and independence, Bayes' theorem
03One dimensional random variable, mean, variance, Chebyshev's inequality
04Two and higher dimensional random variables, covariance, correlation coefficient, regression, least squares principles of curve fitting
05Binomial, Poisson, uniform, normal, gamma, Chi-square and exponential
06Finite difference expressions for first and second order derivatives (ordinary and partial). Solution of BVP's in ODE
07Classification of second order linear partial differential equations
08Numerical solutions of two-dimensional Laplace and Poisson equations by standard five-point formula
09Solution of one-dimensional heat and wave equations by explicit methods. Crank-Nicolson method
10Finite element method, Introduction, simple applications
11Difference equations representing physical systems, the z transforms, properties of z transforms, initial and final value theorems, solution of difference equations by the method of z transforms, convolution theorem

Eewin Kreyszig, Advanced Engineering Mathematics, (7e), 1993, John Wiley & Sons, Inc.
Meyer P.L., Introduction to probability and Statistical applications, (2e), 1970, American Publishing Co.
Hamdy A Taha - Operation research, (7e), 2002, Pearson Education, Inc.
Grewal B.S - Higher Engineering Mathematics, (43e), 2014, Khanna Publishers
Sastry S.S - Introductory methods for Numerical Analysis, (5e), 2012, PHI Learning Private Limited

Credits Structure

2Lecture

1Tutorial

0Practical

3Total