RGPV Mathematics II Syllabus BT202 BTech | New Scheme Based On AICTE Flexible Curricula - Educational Portal

# RGPV Mathematics II Syllabus BT202 BTech | New Scheme Based On AICTE Flexible Curricula

## RGPV Mathematics II Syllabus BT202 BTech | New Scheme Based On AICTE Flexible Curricula

As we know that the Rajiv Gandhi Proudhyogiki Vishwavidyalaya, Bhopal i.e. RGPV is the biggest government technical University in the MP and it is only 1 government technical University in this state. The RGPV University present in the syamala Hills , Bhopal and all official work done only in the campus. It has many affiliated colleges which obey the all rules and regulations of that university.
In the current session RGPV launches new courses of those students who are taking admission under the RGPV University Credit Based Grading System (CBGS) and after the completion of that course student will get B. Tech degree from the RGPV University.

Here we Give the details of 1st year syllabus; please not it very carefully. and it is common for all branches like IT,EC,EE, EX,IP,IEM,CM,BT,BM, CS, EI / IC, CE, ME, FT, TX, AU,
MI, & AT (Information Technology, Electronics, electrical engineering, instrumentation, Bio medical, Mechanical, Fire technology, Textiles, Computer Science, Chemical Engineering Branches) .We are also advised to you please

Course Contents:

## Module 1:Ordinary Differential Equations I :(6 hours) :

Differential Equations of First Order and First Degree (Leibnitz linear, Bernoulli’s, Exact), Differential Equations of First Order and Higher Degree, Higher order differential equations with constants coefficients, Homogeneous Linear Differential equations, Simultaneous Differential Equations.

## Module 2:Ordinary differential Equations II:(8 hours) :

Second order linear differential equations with variable coefficients, Method of variation of parameters, Power series solutions; Legendre polynomials, Bessel functions of the first kind and their properties.

## Module 3: Partial Differential Equations : (8 hours) :

Formulation of Partial Differential equations, Linear and Non-Linear Partial Differential Equations, Homogeneous Linear Partial Differential Equations with Constants Coefficients.

## Module 4: Functions of Complex Variable :(8 hours) :

Functions of Complex Variables: Analytic Functions, Harmonic Conjugate, Cauchy-Riemann Equations (without proof), Line Integral, Cauchy-Goursat theorem (without proof), Cauchy Integral formula (without proof), Singular Points, Poles & Residues, Residue Theorem, Application of Residues theorem for Evaluation of Real Integral (Unit Circle).

## Module 5: Vector Calculus : (10 hours) :

Differentiation of Vectors, Scalar and vector point function, Gradient, Geometrical meaning of gradient, Directional Derivative, Divergence and Curl, Line Integral, Surface Integral and Volume Integral, Gauss Divergence, Stokes and Green theorems.

Textbooks/References:

1.         G.B. Thomas and R.L. Finney, Calculus and Analytic geometry, 9th Edition, Pearson, Reprint, 2002.
2.         Erwin kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons, 2006.
3.         W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th Edn., Wiley India, 2009.
4.         S. L. Ross, Differential Equations, 3rd Ed., Wiley India, 1984.
5.         E. A. Coddington, An Introduction to Ordinary Differential Equations, Prentice Hall India, 1995.
6.         E. L. Ince, Ordinary Differential Equations, Dover Publications, 1958.
7.         J. W. Brown and R. V. Churchill, Complex Variables and Applications, 7th Ed., McGraw Hill,
2004.
8.         N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications, Reprint, 2008.
9.         B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.

source: www.rgpv.ac.in