Dirichlet's conditions- General Fourier series - odd and even Function - Half range sine series - Half range cosine series - parsevals identity - Harmonic analysis
Fourier Transform pair - sine and cosine Transforms - properties - Transforms of simple function - Convolution Theorem - parsevals identity
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)
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)
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).