# GITAM University Engineering Mathematics III Syllabus

# GITAM University Engineering Mathematics III Syllabus

B.Tech. (BT) V Semester

ENGINEERING MATHEMATICS-III

Course Code : EURBT 501 Category: MT

Credits: 3 Hours : 3 per week

UNIT-I

Partial Differential Equations and Applications: Introduction. First and second

order equations, method of separation of variables. Vibrations of a stretched stringwave

equation.

UNIT-II

One-dimensional and two-dimensional heat flow equations, solution of Laplace

equation. Laplace equation in polar coordinates.

UNIT-III

Vector Calculus: Scalar, Vector fields, Gradient, Divergence, curl, directional

derivative, identities, irrotational and solenoidal vector fields, line integral, surface

integral and volume integral, introduction of orthogonal curvilinear coordinates.

Cylindrical, spherical and polar coordinates.

UNIT-IV

Complex Analysis: Differentiability, Cauchy-Riemann equations, analytic functions

Cauchy’s Theorem, Cauchy’s integral formula, Taylor and Laurent expansions,

(without proofs), singularities, Residue Theorem, contour integration.

UNIT-V

Geometric representation of f(z), conformal transformation, some standard

transformations: (I)w=z+c, (2) cz, W=I/Z u = (az+b) / (cz+d), W = Z2 and W = CZ

Text Book: Scope as given in:

1. Higher Engineering Mathematics (34 edition, 1998) by B.S. Grewal, Khanna

Publications, New Delhi –110 006, 34 edition, 1998.

Reference:

1. Higher Engineering Mathematics, by M.K.Venkataraman, National Pub Co, Madras.

2. Advanced Engg Maths, by Erwin Kreyszig, Wiley Eastern Pvt. Ltd., New Delhi- 49.

3. Engineering Maths by P.P.Gupta, Krishna Prakasam Media P Ltd., Meerut Vol-2.

## Recent Comments