ELX401: Applied Mathematics IV Syllabus for EL 4th Sem 2016 Pattern Mumbai University

Applied Mathematics IV detailed syllabus scheme for Electronics Engineering (EL), 2016 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 Engineering 4th Sem Syllabus 2016 Pattern, do visit EL 4th Sem 2016 Pattern Scheme. The detailed syllabus scheme for applied mathematics iv is as follows.

Applied Mathematics IV Syllabus for Electronics Engineering SE 4th Sem 2016 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:

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

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

2. Linear Algebra: Vector Spaces 06

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

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)

5. Correlation 04

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

6. Complex integration 12

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, 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 and II,VidyarthiGrihaPrakashan., 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

Internal Assessment (IA):

Two tests must be conducted which should cover at least 80% of syllabus. The average marks of both the tests will be considered as final IA marks.

End Semester Examination:

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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Term Work/ Tutorial:

At least 08 assignments covering entire syllabus must be given during the class wise tutorial. The assignments should be students centric and an attempt should be made to make assignments more meaningful, interesting and innovative. Term work assessment must be based on the overall performance of the student with every assignment graded from time to time. The grades will be converted to marks as per credit and grading system manual and should be added and averaged. Based on above scheme grading and term work assessment should be done.

For detail syllabus of all other subjects of Electronics Engineering (EL) 4th Sem 2016 regulation, visit EL 4th Sem Subjects syllabus for 2016 regulation.