EEC401: Applied Mathematics – IV Syllabus for EE 4th Sem 2017 Pattern Mumbai University

Applied Mathematics – IV detailed syllabus scheme for Electrical Engineering (EE), 2017 regulation has been taken from the University of Mumbai official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For all other Mumbai University Electrical Engineering 4th Sem Syllabus 2017 Pattern, do visit EE 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics – iv is as follows.

Applied Mathematics – IV Syllabus for Electrical Engineering SE 4th Sem 2017 Pattern Mumbai University

Course Objectives:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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Course Outcomes:

Students will be able

• To develop the proactive approach towards the selection of methods to a solution of engineering problems.
• To identify different probability distribution, learn sampling technique, compute Eigen values and Eigen vectors and evaluate complex integrals and use their application in Electrical Engineering problems.

Prerequisites:

Basics of Complex numbers, Analytic Function, Matrices, Symmetric, Orthogonal and Unitary matrices, Rank, Normal form, Solution of system of linear equations, L. I. & L. D. vectors, Basics of Probability.

Module 1

Calculus of Variation: 06

1. Eulers Langrange equation, solution of Eulers Langrange equation (only results for different cases for Function) independent of a variable, independent of another variable, independent of differentiation of a variable and independent of both variables
2. Isoperimetric problems, several dependent variables
3. Functions involving higher order derivatives: Rayleigh-Ritz method

Module 2

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Module 3

Linear Algebra: Matrix Theory 10

1. Characteristic equation, Eigen values and Eigen vectors, properties of Eigen values and Eigen vectors
2. Cayley-Hamilton theorem (without proof), examples based on verification of Cayley- Hamilton theorem.
3. Similarity of matrices, Diagonalisation of matrices.
4. Functions of square matrix, derogatory and non-derogatory matrices.

Module 4

Probability 10

1. Bayes Theorem (without proof.
2. Random variable: Probability distribution for discrete and continuous random variables, Density function and distribution function, expectation, variance.
3. Moments, Moment Generating Function.
4. Probability distribution: Binomial distribution, Poisson & normal distribution (For detailed study.

Module 5

Correlation 04

1. Karl Pearsons coefficient of correlation, Covariance, Spearmans Rank correlation,
2. Lines of Regression.

Module 6

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
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Reference Books:

Text Books:

1. H.K. Das, Advanced engineering mathematics, S . Chand, 2008
2. A. Datta, MathematicalMethods in Science and Engineering, 2012
3. B.S. Grewal, Higher Engineering Mathematics, Khanna Publication
4. P.N.Wartilar & J.N.Wartikar, A Text Book of Applied Mathematics Vol. I & II, Vidyarthi Griha Prakashan., Pune.

Reference Books:

1. B. V. Ramana, Higher Engineering Mathematics, Tata Mc-Graw Hill Publication
2. Wylie and Barret, Advanced Engineering Mathematics, Tata Mc-Graw Hill 6th Edition
3. Erwin Kreysizg, Advanced Engineering Mathematics, John Wiley & Sons, Inc
4. Seymour Lipschutz Beginning Linear Algebra Schaums outline series, Mc-Graw Hill Publication
5. Seymour Lipschutz Probability Schaums outline series, Mc-Graw Hill Publication

Assessment:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
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Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. Total four questions need to be solved.
3. Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked.
4. Remaining question will be randomly selected from all the modules.

For detail syllabus of all other subjects of Electrical Engineering (EE) 4th Sem 2017 regulation, visit EE 4th Sem Subjects syllabus for 2017 regulation.