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Dept of EEE, REC

 Write short business messages and reports.
 Use language in both official and unofficial contexts.
 Speak effectively in business communication

TEXT BOOKS
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
3 2 0 4
OBJECTIVES
 To handle practical problems arising in the field of engineering and technology.
 To solve problems using the concept of Matrices, Vectors calculus, complex analysis, Laplace
transforms.

UNIT I MATRICES 15
Eigenvalues and Eigenvectors of a real matrix – Characteristic equation – Properties of Eigenvalues and
Eigenvectors – Cayley-Hamilton theorem – Diagonalization of matrices – Reduction of a quadratic form
to canonical form by orthogonal transformation – Nature of quadratic forms.

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.

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 mapping – Mapping
1
by functions w  z  c, cz, z , 2 - Bilinear transformation.
z
UNIT IV COMPLEX INTEGRATION 15
Line integral - 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.E. Electrical and Electronics Engineering | R2017 Page 23