MA8151 – Engineering Mathematics – I – Regulation 2017 Syllabus

Code – MA8151, this article about B.E/B.Tech./B.Arch Mechanical Engineering Semester I Engineering Mathematics I syllabus. Students are requested to make notes or PDFs of the semester in Engineering Mathematics I for effective preparation from here. It will help you to understand what are the topics in the syllabus. And to make preparation strategies to score well in the examinations. Unit-wise detailed syllabus is given below in one place, in the following article. If the information helps you, kindly share it with your classmates.

Aim Of Concept:

The goal of this course is to achieve conceptual understanding and to retain the best traditions of traditional calculus. The syllabus is designed to provide the basic tools of calculus mainly for the purpose of modeling the engineering problems mathematically and obtaining solutions. This is a foundation course which mainly deals with topics such as single variable and multivariable calculus and plays an important role in the understanding of science, engineering, economics and computer science, among other disciplines.

MA8151 – Engineering Mathematics – I – Syllabus

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

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.

Text Books:

• Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd Edition,
  2014.
• James Stewart, “Calculus: Early Transcendentals”, Cengage Learning, 7th Edition, New Delhi, 2014. [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:

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

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