COURSE SUMMARY
Course Title: 
Linear Algebra, Queueing Theory and Optimization
Course Code: 
15MAT301
Year Taught: 
2015
2016
2017
2018
Semester: 
5
Type: 
Foundation Core
Degree: 
Undergraduate (UG)
School: 
School of Engineering
Campus: 
Bengaluru
Chennai
Coimbatore
Amritapuri

'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.

  • Howard Anton and Chris Rorrs, “Elementary Linear Algebra”, Ninth Edition, John Wiley & Sons, 2000.
  • Kalyanmoy Deb, “Optimization for Engineering Design: Algorithms and Examples, Prentice Hall, 2002.
  • Operations Research - An Introduction, A. H., Taha Macmillan Publishing Co.