Code MA3355 deals with the subject from the Anna University Regulation 2021, related to affiliated institutions, syllabus of B.E Electronics and Telecommunication Engineering. In this article, we discuss the Random Processes And Linear Algebra Syllabus.
We intend to provide the syllabus of MA3355 – Random Processes And Linear Algebra, we include the textbooks and references from the faculty of experts. You can get the required information unit-wise. The following links will help you to get proper information. I hope you can find the details in the article given below.
If you want to know more about the syllabus of B.E Computer Science and Engineering (Cyber security) Syllabus connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Electronics and Telecommunication Engineering Syllabus Anna University, Regulation 2021.
Aim of Objectives:
- To introduce the basic notions of vector spaces which will then be used to solve related problems.
- To understand the concepts of vector space, linear transformations, inner product spaces and orthogonalization.
- To provide necessary basic concepts in probability and random processes for applications such as random signals, linear systems in communication engineering.
- To provide necessary basics in probability that are relevant in applications such as random signals, linear systems in communication engineering.
- To understand the basic concepts of probability, one and two-dimensional random variables and to introduce some standard distributions applicable to engineering which can describe real life phenomenon.
MA3355 – Random Processes And Linear Algebra Syllabus
Unit – I: Probability And Random Variables
Axioms of probability – Conditional probability – Baye’s theorem – Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions – Functions of a random variable.
Unit – II: Two – Dimensional Random Variables
Joint distributions – Marginal and conditional distributions – Covariance – Correlation and linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).
Unit – III: Random Processes
Classification – Stationary process – Markov process – Poisson process – Discrete parameter Markov chain – Chapman Kolmogorov equations (Statement only) – Limiting distributions.
Unit – IV: Vector Spaces
Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.
Unit – V: Linear Transformation And Inner Product Spaces
Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Inner product – Norms – Gram Schmidt orthogonalization process – Adjoint of linear operations – Least square approximation.
Text Books:
- Gross, D., Shortle, J.F, Thompson, J.M and Harris. C.M., “Fundamentals of Queueing Theory”, Wiley Student 4th Edition, 2014.
- Ibe, O.C., “Fundamentals of Applied Probability and Random Processes”, Elsevier,1st Indian Reprint, 2007.
- Friedberg. A.H., Insel. A.J. and Spence. L., “Linear Algebra”, Prentice Hall of India, New Delhi, 4th Edition, 2004.
References:
- Hsu, “Schaum’s Outline of Theory and Problems of Probability, Random Variables and Random Processes”, Tata McGraw Hill Edition, New Delhi, 2004.
- Trivedi, K.S., “Probability and Statistics with Reliability, Queueing and Computer Science Applications”, 2nd Edition, John Wiley and Sons, 2002.
- Yates, R.D. and Goodman. D. J., “Probability and Stochastic Processes”, 2nd Edition, Wiley India Pvt. Ltd., Bangalore, 2012.
- Kolman. B. Hill. D.R., “Introductory Linear Algebra”, Pearson Education, New Delhi, First Reprint, 2009.
- Kumaresan. S., “Linear Algebra – A Geometric Approach”, Prentice – Hall of India, New Delhi, Reprint, 2010.
- Strang. G., “Linear Algebra and its applications”, Thomson (Brooks/Cole), New Delhi, 2005.
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