SEMESTER III MA1201 – MATHEMATICS III

ANNA UNIVERSITY TIRUCHIRAPPALLI
Tiruchirappalli - 620 024
SEMESTER III MA1201 – MATHEMATICS III
(Common to all branches)

L T P
3 1 0
UNIT I PARTIAL DIFFERENTIAL EQUATIONS 9
Formation of Partial Differential Equations by Elimination of Arbitrary Constants and Arbitrary
Functions – Solution of Standard Types of First Order Partial Differential Equations – Lagrange’s
Linear Equation – Linear Partial Differential Equations of Second and Higher Order with Constant
Coefficients.
UNIT II FOURIER SERIES 9
Dirichlet’s Conditions – General Fourier Series – Odd and Even Functions – Half Range Sine Series –
Half Range Cosine Series – Complex form of Fourier Series – Parseval’s Identity – Harmonic
Analysis.
UNIT III BOUNDARY VALUE PROBLEMS 9
Classification of Second Order Quasi Linear Partial Differential Equations – Solutions of One
Dimensional Wave Equation – One Dimensional Heat Equation – Steady State Solution of Two–
Dimensional Heat Equation (Insulated Edges Excluded) – Fourier Series Solutions in Cartesian
Coordinates.
UNIT IV FOURIER TRANSFORM 9
Fourier Integral Theorem (without proof) – Fourier Transform Pair – Sine and Cosine Transforms –
Properties – Transforms of Simple Functions – Convolution Theorem – Parseval’s Identity.
UNIT V Z -TRANSFORM AND DIFFERENCE EQUATIONS 9
Z-Transform – Elementary Properties – Inverse Z-Transform – Convolution Theorem – Formation of
Difference Equations – Solution of Difference Equations Using Z-Transform.
L: 45 T: 15 Total 60
TEXT BOOK
1. Grewal B.S., “Higher Engineering Mathematics”, Fortieth Edition, Khanna Publishers, 2007.

REFERENCES
1. Churchill R.V. and Brown J.W., “Fourier Series and Boundary Value Problems”, Fourth
Edition, McGraw-Hill Book Co., 1987.
2. Veerarajan .T, “Engineering Mathematics III”, Third Edition, Tata McGraw-Hill Education,
2007.
3. Kandasamy P., Thilagavathy K. and Gunavathy K., “Engineering Mathematics Volume III”, S.
Chand and Company ltd., 1996.

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