## EC224 Mathematics for E&C Engineering

### Course Name:

EC224 Mathematics for E&C Engineering

### Programme:

### Semester:

### Category:

### Credits (L-T-P):

### Content:

Linear Algebra: Basis, Vector Spaces and Subspaces, Inverse by partitioning, Linear Transformations, Rank and Echelon matrices, Homogeneous linear equations, Basic Solutions, Similarity, Symmetric matrices, Diagonalization, Quadratic forms, Rotation of co-ordinates, Orthogonal Transformations.Probability Theory and Applications: Random Variables and Transformations, Bernoulli, Binomial, Poisson, Uniform, Gaussian, Raleigh, Ricean probability distributions, Expectations, Moments and generating functions, Inequalities, Limit Theorems, Random Processes, Markov and Poisson Random processes, Error function, Complementary Error function, Q function and their applications. Theory of Complex variables: Functions of Complex variables, Cauchy-Riemann equations, Properties of analytic functions, Conformal mapping, Line Integrals in a complex plane. Cauchy’s Theorems, Evaluation of standard real line integrals using contour integration. Numerical Methods: Introduction, Solution of equations by iteration, Interpolation, Numerical Integration and Differentiation, Solution of Linear equations and Differential equations. Finite fields and PN sequences: Polynomials and Euclidean algorithm, Constructing finite fields, subfields, Properties of PN sequences, Generation of PN sequences application of PN sequences.

Course Objective:

To have a clear insight of the Linear Algebra, Probability and Random process.

Course outcome:

At the end of the program, the students must be able to apply these tools in electronics and communication engineering.