University of Mumbai BE IT Syllabus

Can you give me syllabus of BE IT Program of University of Mumbai? I have passed in class 12th with 79% marks. So my father suggested me to do BE with IT Branch. But I want to see its detailed syllabus before applying for admission. Give me important dates when admission will start at University of Mumbai.

Can you provide me the syllabus of B E (Bachelor of Engineering) in Information Technology (Sem. III - IV) Program offered by University of Mumbai?

[sumit]

The syllabus of B E (Bachelor of Engineering) in Information Technology (Sem. III - IV) Program offered by University of Mumbai is as follows:

Module 01
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.

Module 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},
2.3 Unit step function, Heavi side function, Dirac-delta function, Periodic function and their Laplace transforms, Second shifting theorem.
2.4 Inverse Laplace transform with Partial fraction and Convolution theorem (without proof).
2.5 Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients.

Module 03
Fourier series
3.1 Dirichlets 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, Parsevels identities (without proof).
3.4Orthogonal and Ortho-normal functions, Complex form of Fourier series.
3.5 Fourier Integral Representation.

Module 04
Vector Algebra and Calculus
4.1 Vector Algebra: Scalar and vector product of three and four Vectors and theirproperties.
4.2 Vector Calculus: Vector differential operator, Gradient of a scalar point function,
Diversions and Curl of Vector point function
4.3 Vector Integration: Line integral; conservative vector field, Greens theorem in a plane (Without proof)
4.4 Gauss-Divergence theorem & Stokes theorem (Without proof and no problems on verification of above theorems).

Module 05
Z transform
5.1 Z-transform of standard functions such as Z(an), Z(np).
5.2 Properties of Z-transform :Linearity, Change of scale, Shifting property, Multiplication of K, Initial and final value, Convolution theorem (all without proof)
5.3 Inverse Z transform: Binomial Expansion and Method of Partial fraction.


Syllabus B E Information Technology (Sem. III - IV) University of Mumbai
archive.mu.ac.in/Information%20Techn.%20Sem.%20III%20&%20IV%20Rev.. pdf