M1 RGPV MATHEMATICS- I Syllabus CBCS for 1st year 1 Sem and 2nd Sem www.rgpv.ac.in

MA110 RGPV M1 Syllabus CBCS Scheme | RGPV Mathematics Syllabus for CHOICE BASED CREDIT SYSTEM for 1 Sem and 2nd Sem

University : RAJIV GANDHI PROUDYOGIKI VISHWAVIDYALAYA BHOPAL

Course : BE 

Subject : MA110 MATHEMATICS- I
Mode : MA110 MATHEMATICS- I 3-1-0

MATHEMATICS- I 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.

MATHEMATICS- I 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, Beta and Gamma functions (Definitions, Relation between Beta and Gamma functions, Duplication formula, Applications of Beta & 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.

• RGPV Updates 

  
  

  
  

  • Click to >>>>>> Download RGPV CBCS 2nd Year Syllabus
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  • Download CBCS Syllabus New 1st Sem 2nd Sem >>>>>> Download New Syllabus CBCS Scheme
  • Download 1st Sem 2nd Sem >>>>>> RGPV CBCS Syllabus
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    Download >>>>>>GPV CBCS 1st Sem 2nd Sem Syllabus
  • Download RGPV CBCS 1st year Practical Objectives and List >>Click to >> RGPV CBCS 1st year Practical

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 be continuous an integral part of the class as well through external assessment.

MATHEMATICS- I REFERENCES Books

Michael Greenberg, Advanced Engineering Mathematics, Second Edition, Pearson Education, 2002

(Indian Edition).

B.V. Rammana, Higher Engineering Mathematics, Tata McGraw Hill Publishing Company, 2007.

Potter, Goldberg & 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

RAJIV GANDHI PROUDYOGIKI VISHWAVIDYALAY
Source:- RGPV Sylla

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