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

Department of BME, REC

UNIT V MULTIPLE INTEGRAL 12
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.
TOTAL: 60 PERIODS

OUTCOMES:

On completion of the course students will be able to:
• Apply the concept of Eigen values and eigenvectors, diagonalization of a matrix for
solving problems.
• Use concepts of basis and dimension in vector spaces in solving problems and to
construct orthonormal basis using inner products.
• Analyze, sketch and study the properties of different curves and to handle functions
of several variables and problems of maxima and minima.
• Apply the techniques of Integration in engineering problems.
• Evaluate surface area and volume using multiple integrals.

TEXT BOOKS:
1. Grewal B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 43rd
Edition, 2014.
2. T Veerarajan , Linear Algebra and Partial Differential Equations, Mc Graw Hill
Education,2019

REFERENCES:
1. Ramana. B.V., " Higher Engineering Mathematics ", McGraw Hill Education Pvt. Ltd,
New Delhi, 2016.
2. Friedberg, A.H., Insel, A.J. and Spence, L., ―Linear Algebraǁ, Prentice - Hall of
India, New Delhi, 2004.
3. Erwin Kreyszig ," Advanced Engineering Mathematics ", John Wiley and Sons, 10th
Edition, New Delhi, 2016.
4. Bali, N.P. and Manish Goyal, A Text Book of Engineering Mathematics, Lakshmi
Publications Pvt. Ltd., New Delhi, 2006.
5. T Veerarajan, Engineering Mathematics –II , Mc Graw Hill Education, 2018
6. T Veerarajan, Engineering Mathematics –I , Mc Graw Hill Education, 2018

PH19142 PHYSICS FOR BIOSCIENCE L T P C

Common to BME, Bio.Tech & Food Tech 3 0 2 4

OBJECTIVES
• To enhance the fundamental knowledge of Physical, Quantum, magnetic and
dielectric properties of materials
• To study the behavior of light, sound and nuclear radiation in materials.

UNIT I PROPERTIES OF MATTER 9
Elasticity – Stress-strain diagram and its uses - factors affecting elastic modulus and tensile
strength – torsional stress and deformations – twisting couple - torsion pendulum: theory and
experiment - bending of beams –area moment of inertia - bending moment – cantilever -
applications – uniform and non-uniform bending- I-shaped girders - stress due to bending in
beams.

R 2019 Curriculum & Syllabus/ B.E Biomedical Engineering Page 10