RGPV Mathematics 1 Syllabus BT102 BTech | New Scheme Based On AICTE Flexible Curricula - Educational Portal

# RGPV Mathematics 1 Syllabus BT102 BTech | New Scheme Based On AICTE Flexible Curricula

## RGPV Mathematics 1 Syllabus BT102 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 refer the official website of RGPV; of RGPV; i.e. www.rgpv.ac.in for more clarification.

Course Contents:

### Module 1: Calculus: (10 hours):

Rolle’s theorem, Mean Value theorems, Expansion of functions by Mc. Laurin’s and Taylor’s for one variable; Taylor’s theorem for function of two variables, Partial Differentiation, Maxima & Minima (two and three variables), Method of Lagranges Multipliers.

## Module 2: Calculus: (8 hours):

Definite Integral as a limit of a sum and Its application in summation of series; Beta and Gamma functions and their properties; Applications of definite integrals to evaluate surface areas and volumes of revolutions. Multiple Integral, Change the order of the integration, Applications of multiple integral for calculating area and volumes of the curves.

## Module 3: Sequences and series: (6 hours):

Convergence of sequence and series, tests for convergence;
Power series, Taylor's series, series for exponential, trigonometric and logarithm functions; Fourier series: Half range sine and cosine series, Parseval’s theorem.
Mathematics-I Syllabus

## Module 4: Vector Spaces (8hours):

Vector Space,Vector Sub Space, Linear Combination of Vectors,Linearly Dependent, Linearly Independent, Basis of a Vector Space,Linear Transformations.
Module 5: Matrices (8 hours):
Rank of a Matrix, Solution of Simultaneous Linear Equations by Elementary Transformation, Consistency of Equation, Eigen Values and Eigen Vectors, Diagonalization of Matrices, Cayley-Hamilton theorem and its applications to find inverse.

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.         Veerarajan T., Engineering Mathematics for first year, Tata McGraw-Hill, New Delhi, 2008.
4.         Ramana B.V., Higher Engineering Mathematics, Tata McGraw Hill New Delhi, 11thReprint, 2010.
5.         D. Poole, Linear Algebra: A Modern Introduction, 2nd Edition, Brooks/Cole, 2005.
6.         N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications, Reprint, 2008.
7.         B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010.

source: www.rgpv.ac.in