Page 21 - B.Tech Biotech Curriculum and Syllabus R2017 - REC

Department of BIOTECHNOLOGY, REC

TOTAL 45 PERIODS
OUTCOMES
On completion of the course students will be able to
 Listen to, understand and give opinions in meetings.
 Apply for new jobs and develop their career.
 Write short business messages and reports.
 Use language in both official and unofficial contexts.
 Speak effectively in business communicationunofficial contexts.
 Speak effectively in business communication

TEXT BOOK:
1. Board of Editors. Sure Outcomes. A Communication Skills Course for Undergraduate
Engineers and Technologists. Orient Black Swan Limited, Hyderabad, 2013.

REFERENCE BOOKS:
1. Hartley, Mary. ―The Power of Listening,‖ Jaico Publishing House; First Edition (2015).
2. Chambers, Harry. ―Effective Communication Skills for Scientific and Technical
Professionals, ‖ Persues Publishing, Cambridge, Massachusetts, 2000.
3. Lesikar V. Raymond, Flatley E. Marie, Rentz, Kathryn and Pande, Neerja. ―
Business Communication,‖ Eleventh Edition, Tata McGraw Hill Education Private
Limited.

MA17251 ENGINEERING MATHEMATICS – II L T P C
Common to all branches of B.E.B.Tech.programmes 3 2 0 4

OBJECTIVES :
 To handle practical problems arising in the field of engineering and technology.
 To solve problems using the concept of Differential Equation, Vectors calculus, Complex
analysis, Laplace transforms

UNIT I DIFFERENTIAL EQUATIONS 15
Higher order linear differential equations with constant coefficients - Method of variation of
parameters – Homogenous equation of Euler‘s and Legendre‘s type – System of simultaneous
linear differential equations with constant coefficients - Method of undetermined coefficients.

UNIT II VECTOR CALCULUS 15
Gradient and directional derivative – Divergence and curl - Vector identities – Irrotational and
Solenoidal vector fields – Line integral over a plane curve – Surface integral - Area of a curved
surface - Volume integral.Green‘s, Gauss divergence and Stoke‘s theorems – Verification and
application in evaluating line, surface and volume integrals (cubes and parallelepipeds).

UNIT III ANALYTIC FUNCTIONS 15
Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar
coordinates - Properties – Harmonic conjugates – Construction of analytic function – Conformal
1
mapping – Mapping byfunctions w  z  c, cz, z , 2 Bilinear transformation.
z
UNIT IV COMPLEX INTEGRATION 15
Cauchy‘s integral theorem – Cauchy‘s integral formula – Taylor‘s and Laurent‘s series –
Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real
integrals – Use of circular contour and semicircular contour.
Curriculum and Syllabus | B.Tech. Biotechnology | R2017 Page 21