Page 10 - REC :: B.E. Civil Curriculum and Syllabus - R2019

Understand structures and techniques of precise writing
Analyse different genres of communication and get familiarized with new words, phrases, and

sentence structures.
Write and speak appropriately in varied formal and informal contexts.

Text Book (s):
1 English for Technologists & Engineers, Orient Black Swan Publications, Chennai 2012.

Reference Books(s) / Web links:
1 Technical Communication, Meenakshi Raman &Sangeeta Sharma, Oxford University Press
2 Effective Communication Skills, Kulbushan Kumar, Khanna Publishing House, Delhi
3 Communication Skills, Pushplata, Sanjay Kumar, Oxford University Press
4 Practical English Usage. Michael Swan. OUP. 1995.
5 Remedial English Grammar. F.T. Wood. Macmillan.2007
6 On Writing Well. William Zinsser. Harper Resource Book. 2001
7 Study Writing. Liz Hamp-Lyons and Ben Heasly. Cambridge University Press. 2006.
8 Exercises in Spoken English. Parts. I-III. CIEFL, Hyderabad. Oxford University Press

Subject Subject Name Category L T P C
Code
MA19151 ALGEBRA AND CALCULUS BS 3 1 0 4
Common to I sem. B.E. – Aeronautical Engineering
,Automobile Engineering, Civil Engineering,
Mechatronics & Mechanical Engineering

Objectives:
To gain knowledge in using matrix algebra techniques and the limitations of using infinite
⚫
series approximations for those problems arising in mathematical modelling.
⚫ To understand the techniques of calculus which are applied in the Engineering problems.

UNIT-I MATRICES 12
Symmetric and skew – symmetric matrices , orthogonal matrices – Eigen values and Eigen
vectors - Cayley – Hamilton theorem (without proof) and applications - orthogonal
transformation and quadratic forms to canonical forms - Nature of quadratic forms.
UNIT-II SEQUENCES AND SERIES 12
Convergence of sequence and series – Test for convergence: Comparison Test, D’Alembert Ratio
Test, Leibnitz Test, Integral test – Binomial series, Exponential series and logarithmic series:
Summations and approximations.
UNIT-III APPLICATIONS OF DIFFERENTIAL CALCULUS 12
Curvature in Cartesian co-ordinates – Centre and radius of curvature – Circle of curvature –
Evolutes – Envelopes - Evolute as envelope of normals.
UNIT-IV 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-V APPLICATION OF INTEGRATION 12
Centre of Gravity – Moment of inertia - Double integrals in Cartesian and polar coordinates –
Change of order of integration - Area of a curved surface - Triple integrals – Volume of Solids.
Total Contact Hours : 60

Curriculum and Syllabus | B.E. Civil Engineering | R2019 Page 10