# SYLLABus for THIRD SEMESTER BTECH ELECTRONICS&cOMMUNICATION -UNIVERSITY OF CALICUT

EN04 301A ENGINEERING MATHEMATICS

(Common for all B.Tech. programme except CS and IT)

3 hours lecture and 1 hour tutorial per week

Module I

Linear Algebra: Vector spaces- linear dependence and impedance, and their computation- Bases

and dimension- Subspaces- Inner product spaces- Gram-Schmidt orthogonalization process-

Linear transformations- Elementary properties of linear transformations- Matrix of a linear

transformation. (Proofs of theorems omitted)

Module II

Fourier Transforms: Fourier integral theorem (proof not required)- Fourier sine and cosine

integral representations- Fourier transforms- Fourier sine and cosine transforms- Properties of

Fourier transforms- Singularity functions and their Fourier transforms.

Module III

Probability Distributions: Random variables- Mean and variance of probability distributions-

Binominal and Poisson distributions- Poisson approximation to binominal distribution-

Hypergeometric and geometric distributions- Probability densities- Normal, uniform and gamma

distributions.

Module IV

Theory of Inference: Population and samples- Sampling distributions of mean and variance-

Point and interval estimations- Confidence intervals for mean and variance- Tests of hypotheses-

Hypotheses concerning one mean, two mean, one variance and two variances- Test of goodness of

fit.

TEXT BOOKS

For Module I

K. B. Datta, Matrix and Linear Algebra for Engineers, Prentice-Hall of India, New Delhi, 2003.

For Module II

C R Wylie & L C Barrett, Advanced Engineering Mathematics (Sixth Edition), McGraw Hill.

For Module III

Richard A Johnson, Miller & Freund’s Probability and Statistics for Engineers, Pearson Education, 2000.

For Module IV

Richard A Johnson, Miller & Freund’s Probability and Statistics for Engineers, Pearson Education, 2000

Reference: http://www.mnoufal.blogspot.com/