ECC401: Applied Mathematics- IV Syllabus for EC 4th Sem 2017 Pattern Mumbai University

Applied Mathematics- IV detailed syllabus scheme for Electronics & Telecommunication Engineering (EC), 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 Electronics & Telecommunication Engineering 4th Sem Syllabus 2017 Pattern, do visit EC 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics- iv is as follows.

Applied Mathematics- IV Syllabus for Electronics & Telecommunication Engineering SE 4th Sem 2017 Pattern Mumbai University

Prerequisites:

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

1. To build the strong foundation in Mathematics of students needed for the field of Electronics and Telecommunication Engineering
2. To provide students with mathematics fundamentals necessary to formulate, solve and analyses complex engineering problems.
3. To prepare student to apply reasoning informed by the contextual knowledge to engineering practice.
4. To prepare students to work as part of teams on multi-disciplinary projects

Course Outcomes:

After successful completion of the course student will be able to

1. Demonstrate basic knowledge of Calculus of variation, Vector Spaces, Matrix Theory, Random Variables, Probability Distributions, Correlation and Complex Integration.
2. Demonstrate an ability to identify and Model the problems in the field of Electronics and Telecommunication and solve it.
3. Apply the application of Mathematics in Telecommunication Engineering.

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

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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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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Text Books:

1. H.K. Das, Advanced engineering mathematics, S . Chand, 2008
2. A. Datta, Mathematical Methods 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. SeymourLipschutz Probability Schaums outline series, Mc-Graw Hill Publication

For detail syllabus of all other subjects of Electronics & Telecommunication Engineering (EC) 4th Sem 2017 regulation, visit EC 4th Sem Subjects syllabus for 2017 regulation.