I have done 12th class with PCM and want to pursue B.E. Electrical Engineering course from Sant Gadge Baba Amravati University . Will you please provide the SGBAU B.E. Electrical Engineering course Syllabus for an idea ?

The syllabus of Vth & VIth Semester of B.E. Electrical Engineering Program offered by Sant Gadge Baba Amravati University is as follows:

5 SE 1 MATHEMATICS-IV

SECTION-A

Unit I:
a) Complex variables: analytic functions, Cauchy-Riemann conditions. Harmonic function, Harmonic conjugate functions, Milne’s method.
b) Confirmed mapping: mapping by elementary functions of the type W=z+c, W=cz, W=1/z, W=z2, W=e2, W=z+1/z and bilinear transformation.

Unit II:
Complex Integral: singular points, Taylor’s series, Laurent’s series, Cauchy’s integral theorem and Cauchy’s integral formula. Residue: Cauchy’s residue theorem. Contour integrals. Integration forms: f(x) dx, f (sinx, cos x) dx

Unit III:
Patial differential equations: first order and first degree p.d. equation type.
(i) f (p, q) = 0, (ii) f (p, q, z) = 0, (iii) f (p, q, x, y) = 0 (iv) f (p, q, x,
y, z) = 0 etc. Lagrange’s form Pp + Qq = R. Clarinet’s form Z = px + qv + f (p,
q). Equation reducible to standard form. Homogeneous P.D.E. of nth order

SECTION-B

Unit IV:
Special functions : solution of Legendre’s and Bessel’s equations by Frobensious method, Bessel’s function Ist kind generating function, recurrence relating values of J 1/2 (x) , J -1/2(x), J 3/2 (x) etc. Legendre’s function of Ist kind: generating function, Rodrigues function, recurrence relation, Legendre’s polynomials and orthogonal properties.

Unit V:
Statistics & Probability: Axioms, conditional probability, Bay’e theorem, mathematical expectations, probability distributions: Binomial, Possion and Normal.

Unit VI:
a) Curve fittings by method of Least Squares. Correlation and regression
b) Matrix differential equation: solution and integrated solution, Sylvester’s theorem, solution of differential equations by matrix method and Peano Baker method.

Books Recommended:
1) Pipes: Mathematics for Engineers and Physicist.
2) P.N. Wartikar and J.N.Wartikar : A Text Book of Applied Mathematics.
3) B.S.Grewal : Advance Engineering Mathematics.
4) S.G.Gupta : Statistical Methods.
5) Speigal : Statistics (Schaum’s series)
6) Speigal : Complexva (Schaum’s series)


Syllabus of Vth & VIth Semester of B.E. Electrical Engineering SGBAU

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