'Linear Algebra, Queueing Theory and Optimization' is a course offered in the fifth semester of B. Tech. in Computer Science and Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham.
Unit 1
Introduction to Linear Algebra: Review of matrices and linear systems of equations.
Vector spaces and subspaces, linear independence, basis and dimensions, linear transformations, orthogonality, Orthogonal basis, Gram Schmidt Process, leastsquare applications.
Unit 2
Queueing Theory: Introduction to Queuing Models, Characteristics of Queuing Models, Single Channel Queuing Theory, Solution to Single Channel Queuing Models, Application of Queuing Theory.
Unit 3
Single Variable Optimization Techniques: Single variable optimization: Optimality criteria – bracketing methods – region elimination methods – point estimation method – gradient based methods.