Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series – Half range cosine series –Parseval’s identity – Harmonic Analysis
Fourier transform pair – Sine and Cosine transforms – Properties – Transforms of simple functions – Rectangular pulse, Triangular pulse – Convolution theorem– Parseval’s identity.
PARTIAL DIFFERENTIAL EQUATIONS
Solution of standard types of first order partial differential equations – Lagrange’s linear equation –Linear partial differential equations of second order with constant coefficients (Homogeneous Problems).
APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Solutions of one dimensional wave equation – One dimensional equation of heat Conduction – Steady state solution of two-dimensional equation of heat conduction (Excluding Infinite plate & Insulated edges)
Z-transforms – Elementary properties – Inverse Z - Transform – Convolution theorem –Formation of difference equation –Solution of difference equations using z-transforms
Reference Book:
1. Bali, N.P. and Manish Goyal, “A Textbook of Engineering Mathematics”, Fifth Edition, Laxmi
Publications (P) Ltd., 2014.(Unit-I, II, III & IV).
2.Glyn James, “Advanced Modern Engineering Mathematics”, Fourth Edition, Pearson Education, 2013.
(UNIT V).
3. Erwin Kreyszig, “Advanced Engineering Mathematics”,Tenth Edition, Wiley India,2015. (Unit-III
& V).
4. Dr. Sanjay Sharma., “Signals and Systems”, S.K.Kataria& Sons, Publisher of Engineering & Computer Books,
New Delhi, 2012 .(Unit I, II & V).
5.Whlie, R.C. and Barrett, L.C., “Advanced Engineering Mathematics” Tata Mcgraw Hill Education
Pvt.Ltd, 6th Edition, New Delhi, 2012. (UNIT-IV, V)
Text Book:
1.Grewal, B.S., “Higher Engineering Mathematics”, 44thEdition, Khanna Publications, Delhi, 2017.
(Unit I, II, III, IV & V).
2. Ramana, B.V., “Higher Engineering Mathematics”, Tata McGraw Hill Publishing Company, New
Delhi, 2014. (Unit III).
