MA8151 ENGINEERING MATHEMATICS 1 Syllabus Regulation 2017 Semester 1 Anna University

OUTCOMES :

After completing this course, students should demonstrate competency in the following skills:

• Use both the limit definition and rules of differentiation to differentiate functions.
• Apply differentiation to solve maxima and minima problems.
• 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 fractionsand integration by parts.
• Determine convergence/divergence of improper integrals and evaluate convergentimproper integrals.
• Apply various techniques in solving differential equations.

OBJECTIVES :

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

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.

DEPARTMENTS ARE LISTED BELOW:

The department like Civil department, Aeronautical Engg, Mechanical (MECH), Electronics and Instrumentation engineering and all the departments that are available in Anna university affiliated colleges have this subject as a common in their first semester.

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