Probability and Linear Algebra detailed syllabus for Industrial Engineering & Management (IEM) for 2021 regulation curriculum has been taken from the Anna University official website and presented for the IEM students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Industrial Engineering & Management 3rd Sem scheme and its subjects, do visit IEM 3rd Sem 2021 regulation scheme. The detailed syllabus of probability and linear algebra is as follows.
Course Objectives:
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Unit I
PROBABILITY AND RANDOM VARIABLES Axioms of probability – Conditional probability – Bayes 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
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Unit III
VECTOR SPACES Vector spaces – Subspaces – Linear combinations and linear system of equations – Linear independence and linear dependence – Bases and dimensions.
Unit IV
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Unit V
INNER PRODUCT SPACES Inner product, norms – Gram Schmidt orthogonalization process – Adjoint of linear operations -Least square approximation.
Course Outcomes:
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Text Books:
- Johnson. R.A., Miller. I and Freund. J., “Miller and Freunds Probability and Statistics for Engineers”, Pearson Education, Asia, 9th Edition, 2016.
- Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, 4th Edition, 2007.
- Friedberg. A.H., Insel. A.J. and Spence. L., Linear Algebra, Prentice Hall of India, New Delhi, 4th Edition, 2004.
Reference Books:
- Devore. J.L., “Probability and Statistics for Engineering and the Sciences, Cengage Learning, New Delhi, 8th Edition, 2014.
- Ross. S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, 5th Edition, Elsevier, 2014.
- Spiegel. M.R., Schiller. J. and Srinivasan . R.A., “Schaums Outline of Theory and Problems of Probability and Statistics”, Tata McGraw Hill Edition, 4th Edition, 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.
For detailed syllabus of all other subjects of Industrial Engineering & Management, 2021 regulation curriculum do visit IEM 3rd Sem subject syllabuses for 2021 regulation.
For all Industrial Engineering & Management results, visit Anna University IEM all semester results direct link.