THIAGARAJAR COLLEGE OF ENGINEERING: MADURAI – 625 015 ...

• Verification of Network Theorems
• Resonance Circuits
• Measurement of R,L,C, Q and power factor
• V-I Characteristics of PN, Zener diode
• Wave shaping circuits
• Rectifiers
• Characteristics of field effect transistors
• Characteristics of field effect transistors
• Characteristics of unijunction transistors
• Regulators
• Simulation using PSPICE
D31 MATHEMATICS – II
UNIT – I: Fourier Series: Dirichlet’s conditions - General Fourier series - Half range sine and cosine
series - Parseval’s Identity - Harmonic Analysis - Complex form of Fourier series - Double Fourier Series -
Simple problems. (10 Periods)
UNIT – II: Fourier Transforms: Fourier integral theorem - Fourier transform - Fourier sine and cosine
transforms – properties - convolution theorem - Parseval’s identify - Introduction to Discrete Fourier
Transform - Discrete Time Fourier Transform and Fast Fourier Transform - Simple problems.
(10
Periods)
UNIT – III: Partial Differential Equations: Formation - solution of standard types of first order
equations - Lagrange’s linear equation - linear partial differential equations of second and higher order
with constant coefficient. (10
Periods)
UNIT – IV: Boundary Value Problems: Classification of second order linear partial differential equations
– One-dimensional wave equation One-dimensional heat equation, solution by Fourier series and Fourier
transform method. (10 Periods)
UNIT – V: Boundary Value Problems (contd.): Steady state solution of two dimensional heat equation in
Cartesion coordinates - Solution by Fourier series and Fourier transform method - Laplace equation in
polar coordinates - Solution by Fourier series method.
(10 Periods)
Text Book:
1 .Grewal, B.S., “Higher Engineering Mathematics”, Thirty Sixth Edition, Khanna Publishers, Delhi,
2001.
Reference Books:
Veerarajan, T., “Engineering Mathematics” (For Semester III) Second Edition, Tata McGraw – Hill
Pub. Co. Ltd., New Delhi, 2002.
Venkataraman, M.K., “Engineering Mathematics”, Fourth Edition, the National Pub. Co., Chennai,
2003.
Kandasamy, P., Thilagavathy, K., and Gunavathy, K., “Engineering Mathematics”, Fourth Revised
Edition, S. Chand & Co., New Delhi. 2000.
Erwin Kreyszig, “Advanced Engineering Mathematics”, Eighth Edition John