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22nd November 2015, 08:22 AM
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Join Date: May 2012
Re: Sem IV Syllabus Mumbai University

The University of Mumbai is one of the first three state universities in India. It offers Bachelors, Masters and Doctoral degrees apart from diplomas and certificates in many disciplines.

Sem IV Syllabus Mumbai University

Course Code Course Name

PEC401 Applied Mathematics-IV
PEC402 Theory of Machines
PEC403 Manufacturing Engineering-II
PEC404 Electrical and Electronics Engineering
PEC405 Applied Thermodynamics
PEC406 Materials Technology
PEL307 Workshop Practice-IV

Matrices:

1.1 Brief revision of vectors over a real field, inner product, norm, Linear
Dependance and Independence and orthogonality of vectors.
1.2 Characteristic polynomial, characteristic equation, characteristic roots
and characteristic vectors of a square matrix, properties of characteristic
roots and vectors of different types of matrices such as orthogonal matrix,
Hermitian matrix, Skew-Hermitian matrix, Cayley Hamilton theorem (
without proof) Functions of a square matrix, Minimal polynomial and
Derogatory matrix.

Vector calculus:
2.1 Brief revision of Scalar and vector point functions, Gradient, Divergence
and curl.
2.2 Line integrals, Surface integrals, Volume integrals. Green’s
theorem(without proof) for plane regions and properties of line integrals,
Stokes theorem(without proof), Gauss divergence theorem (without
proof) related identities and deductions.(No verification problems on
Stoke’s Theorem and Gauss Divergence Theorem)

Non Linear Programming:
3.1 Unconstrained optimization, problems with equality constraints Lagranges
Multiplier method.
3.2 Problem with inequality constraints Kuhn-Tucker conditions.

Probability Distributions:
4.1 Discrete and Continuous random variables, Probability mass and density
function, Probability distribution for random variables, Expected value,
Variance.
4.2 Probability Distributions:Binomial, Poisson and Normal Distributions.
For detailed study.




Attached Files
File Type: pdf Sem IV Syllabus Mumbai University.pdf (422.0 KB, 418 views)

Last edited by Shaleen; 22nd November 2015 at 08:24 AM.


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