BIJU PATNAIK UNIVERSITY OF TECHNOLOGY, ORISSA
Mineral Engineering
B.Tech 2008-2010 - 2nd Year Mineral Engineering Syllabus
Paper :BSCM 1205 Mathematics – III
BSCM1205 Mathematics - III
Module-I (18 hours)
Partial differential equation of first order, Linear partial differential equation, Non-linear partial differential equation, Homogenous and non-homogeneous partial differential equation with constant co-efficient, Cauchy type, Monge’s method, Second order partial differential equation
The vibrating string, the wave equation and its solution, the heat equation and its solution, Two dimensional wave equation and its solution, Laplace equation in polar, cylindrical and spherical coordinates, potential.
Module-II (12 hours)
Complex Analysis:
Analytic function, Cauchy-Riemann equations, Laplace equation, Conformal mapping,
Complex integration: Line integral in the complex plane, Cauchy’s integral theorem, Cauchy’s integral formula, Derivatives of analytic functions
Module –III (10 hours)
Power Series, Taylor’s series, Laurent’s series, Singularities and zeros, Residue integration method, evaluation of real integrals.
Text books:
1. E. Kreyszig,” Advanced Engineering Mathematics:, Eighth Edition, Wiley India
Reading Chapters: 11,12(except 12.10),13,14,15
2. B.V. Ramana, “ Higher Engineering Mathematics”, McGraw Hill Education, 2008
Reading chapter: 18
Reference books:
1. E.B. Saff, A.D.Snider, “ Fundamental of Complex Analysis”, Third Edition, Pearson Education, New Delhi
2. P. V. O’Neil, “Advanced Engineering Mathematics”, CENGAGE Learning, New Delhi
For more details, visit http://www.bput.org
|
No responses found. Be the first to respond and make money from revenue sharing program.
|