Engineering Mathematics – I detail syllabus for Textile Chemistry (Text Chem), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8151), Category (BS), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other text chem 1st sem syllabus for b.tech 2017 regulation anna univ you can visit Text Chem 1st Sem syllabus for B.Tech 2017 regulation Anna Univ Subjects. The detail syllabus for engineering mathematics – i is as follows.”
Course Objective:
- 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 modelling 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.
Unit I
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Unit II
Functions of Several Variables
Partial differentiation – Homogeneous functions and Eulers theorem – Total derivative – Change of variables – Jacobians – Partial differentiation of implicit functions – Taylors series for functions of two variables – Maxima and minima of functions of two variables – Lagranges 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
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Unit V
Differential Equations
Higher order linear differential equations with constant coefficients – Method of variation of parameters – Homogenous equation of Eulers and Legendres type – System of simultaneous linear differential equations with constant coefficients – Method of undetermined coefficients.
Course Outcome:
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 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:
- Grewal B.S., Higher Engineering Mathematics, Khanna Publishers, New Delhi, 43rd Edition, 2014.
- James Stewart, “Calculus: Early Transcendentals”, Cengage Learning, 7th Edition, New Delhi, 2015. [For Units I and 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.
For detail syllabus of all other subjects of B.Tech Text Chem, 2017 regulation do visit Text Chem 1st Sem syllabus for 2017 Regulation.
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