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11th April 2016, 09:59 AM
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Join Date: May 2012
Re: University Of Mumbai Computer Engineering Syllabus

As you have asked about the second year syllabus of Bachelor of Engineering
(BE) course of Computer Engineering of University of Mumbai, I am giving
you information about it, check below for the details

Applied Mathaematics III



Complex Variable & mapping

1.1 Functions of a complex variable, Analytic functions, Cauchy-Riemann
equations in Cartesian co-ordinates, Polar co-ordinates.

1.2 Harmonic functions, Analytic method and Milne Thomson methods to find
f(z), Orthogonal trajectories.

1.3 Conformal Mapping, Linear, Bilinear transformations, Cross ratio, fixed
points and standard transformation such as rotation and magnification,
invertion, translation.


02 Laplace Transform
2.1 Introduction, Definition of Laplace transform, Laplace transform of
constant, trigonometrical, exponential functions.

2.2 Important properties of Laplace transform: First shifting theorem,
Laplace transform of L{tn f(t)}, L{ f(t)/t},, , L{f(at)} without proof.

2.2Unit step function, Heavi side function, Dirac-delta function, Periodic
function and their Laplace transforms, Second shifting theorem.

2.3Inverse Laplace transform with Partial fraction and Convolution theorem
(without proof).

2.4 Application to solve initial and boundary value problem involving ordinary
differential equations with one dependent variable and constant coefficients.


Fourier series
3.1 Dirichlet’s conditions, Fourier series of periodic functions with period 2π
and 2L.

3.2 Fourier series for even and odd functions.

3.3 Half range sine and cosine Fourier series, Parsevel’s identities (without
proof).

3.4Orthogonal and Ortho-normal functions, Complex form of Fourier series.

3.5 Fourier Integral Representation.






For detailed syllabus of second year Computer Engineering, you can refer to the attached file


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