MA8151 ENGINEERING MATHEMATICS I lecture Notes Syllabus Book Previous 2 13 15 Marks Anna University Important Question Bank With Answers Regulation 2017 Study Materials Pdf Ppt

MA8151 ENGINEERING MATHEMATICS I lecture Notes Syllabus Book Previous  2 13 15 Marks  Anna University Important Question Bank With Answers Regulation 2017 Study Materials Pdf Ppt

MA8151 ENGINEERING MATHEMATICS


UNIT I DIFFERENTIAL CALCULUS

 Representation of functions - Limit of a function - Continuity - Derivatives - Differentiation rules - Maxima and Minima of functions of one variable. UNIT II FUNCTIONS OF SEVERAL VARIABLES 12 Partial differentiation – Homogeneous functions and Euler’s theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylor’s series for functions of two variables – Maxima and minima of functions of two variables – Lagrange’s method of undetermined multipliers.

 UNIT III INTEGRAL CALCULUS

 Definite and Indefinite integrals - Substitution rule - Techniques of Integration - Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integration of rational functions by partial fraction, Integration of irrational functions - Improper integrals.

 UNIT IV MULTIPLE INTEGRALS

 Double integrals – Change of order of integration – Double integrals in polar coordinates – Area enclosed by plane curves – Triple integrals – Volume of solids – Change of variables in double and triple integrals.

UNIT V DIFFERENTIAL EQUATIONS

 Higher order linear differential equations with constant coefficients - Method of variation of parameters – Homogenous equation of Euler’s and Legendre’s type – System of simultaneous linear differential equations with constant coefficients - Method of undetermined coefficients. TOTAL : 60

TEXT BOOKS: 1. Board of Editors. Using English A Coursebook for Undergarduate Engineers and Technologists. Orient BlackSwan Limited, Hyderabad: 2015 2. Richards, C. Jack. Interchange Students’ Book-2 New Delhi: CUP, 2015.

REFERENCES 1. Bailey, Stephen. Academic Writing: A practical guide for students. New York: Rutledge,2011. 2. Comfort, Jeremy, et al. Speaking Effectively : Developing Speaking Skillsfor BusinessEnglish. Cambridge University Press, Cambridge: Reprint 2011 3. Dutt P. Kiranmai and RajeevanGeeta. Basic Communication Skills, Foundation Books: 2013 4. Means,L. Thomas and Elaine Langlois. English & Communication For Colleges. CengageLearning ,USA: 2007 5. Redston, Chris &Gillies Cunningham Face2Face (Pre-intermediate Student’s Book& Workbook) Cambridge University Press, New Delhi: 2005 7  Evaluate integrals both by using Riemann sums and by using the Fundamental Theorem of Calculus.  Apply integration to compute multiple integrals, area, volume, integrals in polar coordinates, in addition to change of order and change of variables.  Evaluate integrals using techniques of integration, such as substitution, partial fractions and integration by parts.  Determine convergence/divergence of improper integrals and evaluate convergent improper integrals.  Apply various techniques in solving differential equations. TEXT BOOKS : 1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition, 2014. 2. James Stewart, "Calculus: Early Transcendentals", Cengage Learning, 7th Edition, New Delhi, 2015. [For Units I & III - Sections 1.1, 2.2, 2.3, 2.5, 2.7(Tangents problems only), 2.8, 3.1 to 3.6, 3.11, 4.1, 4.3, 5.1(Area problems only), 5.2, 5.3, 5.4 (excluding net change theorem), 5.5, 7.1 - 7.4 and 7.8].

REFERENCES : 1. Anton, H, Bivens, I and Davis, S, "Calculus", Wiley, 10th Edition, 2016. 2. Jain R.K. and Iyengar S.R.K., “Advanced Engineering Mathematics”, Narosa Publications, New Delhi, 3rd Edition, 2007. 3. Narayanan, S. and Manicavachagom Pillai, T. K., “Calculus" Volume I and II, S. Viswanathan Publishers Pvt. Ltd., Chennai, 2007. 4. Srimantha Pal and Bhunia, S.C, "Engineering Mathematics" Oxford University Press, 2015. 5. Weir, M.D and Joel Hass, "Thomas Calculus", 12th Edition, Pearson India, 2016.

MA8151 ENGINEERING MATHEMATICS I lecture Notes Syllabus Book Previous  2 13 15 Marks  Anna University Important Question Bank With Answers Regulation 2017 Study Materials Pdf Ppt