Page 9 - REC :: B.E. BME Curriculum and Syllabus - R2019

Department of BME, REC

• 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:
1. English for Technologists & Engineers, Orient Black Swan Publications, Chennai.

REFERENCES:
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

MA19152 LINEAR ALGEBRA AND APPLIED CALCULUS L T P C

Common to CSE, BME, ECE, EEE, & I.T
3 0 1 4

OBJECTIVES
• To gain knowledge in using matrix algebra techniques and the concepts of basis and
dimension in vector spaces.
• 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 VECTOR SPACES 12
Vector space – Linear dependence and independence of vectors, bases, dimensions - range
and kernel of a linear map, rank and nullity – matrix of Linear transformation - inverse of a
linear transformation - rank nullity theorem – composition of Linear maps – Matrix
Associated with Linear Map - inner products and norms – Gram – Schmidt orthogonalisation.

UNIT III DIFFERENTIAL CALCULUS AND APPLICATIONS 12
Curvature in Cartesian co-ordinates – Centre and radius of curvature – Circle of curvature –
Evolutes and Envelopes - Partial derivatives: Definitions and Simple problems - Jacobian
and properties – Taylor’s series for functions of two variables – Lagrange’s method of
undetermined multipliers.

UNIT IV APPLICATION OF INTEGRATION AND IMPROPER INTEGRALS 12
Evaluation of area, surface area and volume of revolution - Centre of Gravity – Moment of
inertia – Improper integrals: Beta and Gamma integrals and their properties.

R 2019 Curriculum & Syllabus/ B.E Biomedical Engineering Page 9