Mathematics-I (BT-1002) - B.E RGPV CBCS & CBGS Scheme Notes -->
Mathematics-I (BT-1002)
Mathematics-I (BT-1002) RGPV notes CBGS Bachelor of engineering

rgpv bhopal, diploma, rgpv syllabus, rgpv time table, how to get transcript from rgpv, rgpvonline,rgpv question paper, rgpv online question paper, rgpv admit card, rgpv papers, rgpv scheme

RGPV notes CBGS Bachelor of engineering

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.


Syllabus

UNIT 1:
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).

UNIT 2:
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.

UNIT 3:
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.

UNIT 4:
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).

UNIT 5:
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.


NOTES


EVALUATION

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


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.


Books Recommended

1. Michael GreenBTrg, Advanced Engineering Mathematics, Second Edition, Pearson Education,2002(Indian Edition).
2. B.V. Rammana, Higher Engineering Mathematics, Tata McGraw Hill Publishing Company, 2007. Potter, GoldBTrg & Edward, Advanced Engineering Mathematics, Oxford University Press.
3. S. S. Shastry, Engineering Mathematics, PHI Learning
4. C.B. Gupta, Engineering Mathematics I & II, McGraw Hill India, 2015


You May Also Like

Follow Author Here:

Services

COMPLETELY FREE !!!

Yup, everything is free....

NO REGISTRATION REQUIRED

User doesn't have to register for accessing the files, all the files are free & universally accessible without any condition or restriction.

RESPONSIVE DESIGN & USER-FRIENDLY

Our webpages are responsive & user-friendly, which means it will automatically adjust according to your device screen size and you will find stuff without ant hustle.

DIRECT DOWNLOAD LINKS WITH HIGN SPEED

All the files are uploaded on our super-fast servers so that they can be easily downloaded with high speed.

NEW PROJECTS

For providing a better experience to our users we are developing our Android application, the application will have a lot of awesome features so stay tuned ;).

AWESOME SUPPORT TEAM

Our AI-powered Chatbots are always here to help you so, feel free to ask any question or report if you face any problem. Our team also monitors all chatbots traffic & they will contact you if chatbot fails to help.

Contact Us