

Semester Offering:  




To provide detailed mathematical background for students to understand the basic principles of Telecommunications, to obtain research insight presented in scientific papers in Telecommunications.




Vector Spaces, Matrices, Generalized Inverses, Linear Transformations, the Eigenvalue Problem, Functions of a Matrix, Irreducible and Monotone Matrices, Introduction of Probability Theory, Random Variables, Conditional Probability and Conditional Expectation, The Exponential Distribution and Poisson Process, ContinuousTime Markov Chains, Pointset topology, Numerical sequences and series, Realvalued functions, Complexvalued functions




None.




I. Vector Spaces
II. Matrices
III Generalized Inverses
IV Linear Transformations
V The Eigenvalue Problem
VI Function of a Matrix
VII Irreducible and Monotone Matrices
Probability Models :
VIII Introduction to Probability Theory
IX Random variables
X Conditional Probability and Conditional Expectation
XI. The Exponential Distribution and Poisson Process
XII. ContinuousTime Markov Chains
Real and Complex Analysis :
XIII Pointset topology
XIV Numerical sequences and series
XV Realvalued functions
XVI Complexvalued functions


Learning Resources:  


W. Rudin, Principles of Mathematical Analysis . McGrawHill, 1976.




The final grade will be computed from final exam (100%).

