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Course Detail

Course Name Linear Algebra, Queueing Theory and Optimization
Course Code 15MAT301
Program B. Tech. in Computer Science and Engineering
Semester Five
Year Taught 2019


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.

Text Books

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


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