Subject Details
Dept     : ECE
Sem      : 3
Regul    : 2019
Faculty : Sunantha .D
phone  : NIL
E-mail  : sunantha.d.math@snsct.org
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Syllabus

UNIT
1
Fourier series

Dirichlet's conditions- General Fourier series - odd and even Function - Half range sine series - Half range cosine series - parsevals identity - Harmonic analysis

UNIT
2
Fourier Transform

Fourier Transform pair - sine and cosine Transforms - properties - Transforms of simple function - Convolution Theorem - parsevals identity

UNIT
3
Partial Differential Equations

Solution of standard types of first order partial differential equations - Lagranges linear equation - Linear partial differential equations of second order with constant coefficient (Homogeneous problems)

UNIT
4
Applications of Partial Differential Equations

Classification of Partial Differential Equations - Sol9of one Dimensional wave equation - one dimensional equation of Heat conduction - Steady State solution of two dimensional equation of Heat conduction (excluding infinite plate and insulated edges)

UNIT
5
Z Transforms and Difference equations

Z Transforms - elementary properties - Inverse z Transforms - convolution Theorem - formation of difference equation - solution of difference equation using z Transforms

Reference Book:

R1 Bali.N.P and Manish Goyal ‘A Textbook of Engineering Mathematics’, Semester II, Fifth Edition, Laxmi Publications (P) Ltd. (2011) (UNIT-I, II, III, IV). R2 Glyn James, ‘Advanced Modern Engineering Mathematics’, Third edition-Pearson Education (2011). (UNIT-V). R3 Erwin Kreyszig ’Advanced Engineering Mathematics’, Eighth edition-Wiley India (2010). (UNIT-III, V).

Text Book:

T1 Grewal, B.S, ‘Higher Engineering Mathematics’ 40th Edition, Khanna publishers, Delhi, (2012) (UNIT-I, II, III, V). T2 Ramana.B.V. ‘Higher Engineering Mathematics’ Tata Mc-Graw Hill Publishing Company limited, New Delhi (2010). (UNIT-III). T3 R.K Jain & SRK Iyengar Advanced Engineering mathematics, Third Edition. (2011). (UNIT-III, IV).

 

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