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MA3352 - Probability And Linear Algebra Syllabus Regulation 2021 Anna University

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Subject code MA3352 deals with semester III of the Probability And Linear Algebra Syllabus of Anna University based on regulation 2021. In this article, we would like to discuss the syllabus of Probability And Linear Algebra. Let’s see.

We aim to provide the unit-wise MA3352 – Probability And Linear Algebra syllabus. It will avoid confusion for students during the examination period. We added the required textbooks and references to the syllabus. I hope this information is useful. You better be quick to read the syllabus prior than the others and prepare well for examinations. Kindly read this article thoroughly and then share it with your classmates. A decent qualified certificate from the university will help you to reach heights The following syllabus will assist you.

If you want to know more about the syllabus of B.E. Industrial Engineering and Management 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. Industrial Engineering and Management Syllabus Regulation 2021 Anna University.

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, and diagonalization.
  • To apply the concept of inner product spaces in orthogonalization.
  • To provide necessary basics in probability and random processes relevant in applications such as random signals, and 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 that can describe real-life phenomena.

MA3352 – Probability 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: Vector Spaces

Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.

Unit – IV: Linear Transformation And Diagonalization

Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Eigenvalues and eigenvectors –Diagonalization.

Unit – V: Inner Product Spaces

Inner product, norms – Gram Schmidt orthogonalization process – Adjoint of linear operations Least square approximation.

Text Books:

  1. Johnson. R.A., Miller. I and Freund. J., “Miller and Freund’s Probability and Statistics for Engineers”, Pearson Education, Asia, 9th Edition, 2016.
  2. Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, 4th Edition, 2007.
  3. Friedberg. A.H., Insel. A.J. and Spence. L., “Linear Algebra”, Prentice Hall of India, New Delhi, 4th Edition, 2004.

References:

  1. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning, New Delhi, 8th Edition, 2014.
  2. Ross. S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, 5th Edition, Elsevier, 2014.
  3. Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaum’s Outline of Theory and Problems of Probability and Statistics”, Tata McGraw Hill Edition, 4th Edition, 2012.
  4. Kolman. B. Hill. D.R., “Introductory Linear Algebra”, Pearson Education, New Delhi, First Reprint, 2009.
  5. Kumaresan. S., “Linear Algebra – A Geometric Approach”, Prentice – Hall of India, New Delhi, Reprint, 2010.
  6. Strang. G., “Linear Algebra and its applications”, Thomson (Brooks/Cole), New Delhi, 2005.

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