# RGPV CBGS Mathematics 1 Syllabus BT 1002 Credit Based Grading System (CBGS)

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.

### RGPV CBGS Mathematics I Syllabus - Code BT 1002 Mathematics 1

COURSE OBJECTIVE:

The objective of this foundational course is to review mathematical concepts already learnt in higher secondary. This course will also introduce fundamentals of mathematical functions, derivatives and aspects of calculus to students.

COURSE CONTENT:

Recapitulation of Mathematics: Basics of Differentiation, Rolle’s and Lagranges Theorem, Tangents and Normals, Indefinite Integral (Substitution, Integration using Trigonometric Identity & Integration by Parts

&
Definite Integral).

Ordinary Derivatives & Applications: Expansion of functions by Maclaurin’s & Taylor’s Theorem (One Variable), Maxima and Minima of functions of two variables, Curvature (Radius, Center & Circle of Curvature for Cartesian Coordinates), Curve Tracing.

Partial Derivatives & Applications: Definition, Euler’s Theorem for Homogeneous Functions, Differentiation of Implicit Functions, Total Differential Coefficient, Transformations of Independent Variables, Jacobians, Approximation of Errors.

Integral Calculus: Definite Integrals as a Limit of Sum, Application in Summation of series, BTta and Gamma functions (Definitions, Relation BTtween BTta and Gamma functions, Duplication formula, Applications of BTta & Gama Functions).

Applications of Integral Calculus: Multiple Integral (Double & Triple Integrals), Change of Variables, Change the Order of Integration, Applications of Multiple Integral in Area, Volume, Surfaces & Volume of Solid of Revolution about X-Axis & Y-Axis.

COURSE OUTCOMES

The curriculum of the Department is designed to satisfy the diverse needs of students. Coursework is designed to provide students the opportunity to learn key concepts of mathematical functions, partial derivatives as well as fundamentals and applications of integral calculus.

EVALUATION

Evaluation will BT continuous an integral part of the class as well through external assessment.

REFERENCES

Michael GreenBTrg, Advanced Engineering Mathematics, Second Edition, Pearson Education, 2002(Indian Edition).

B.V. Rammana, Higher Engineering Mathematics, Tata McGraw Hill Publishing Company, 2007. Potter, GoldBTrg & Edward, Advanced Engineering Mathematics, Oxford University Press.
S. S. Shastry, Engineering Mathematics, PHI Learning

C.B. Gupta, Engineering Mathematics I & II, McGraw Hill India, 2015.

source: www.rgpv.ac.in