MA1201 – MATHEMATICS III

ANNA UNIVERSITY TIRUCHIRAPPALLI
Tiruchirappalli - 620 024 Regulations 2007
Syllabus B.TECH. INFORMATION TECHNOLOGY
SEMSETER III
MA1201 – MATHEMATICS III
(Common to all branches)

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 - RANSFORM 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”, Khanna Publishers, Fortieth Edition, 2007.

REFERENCES
1. Churchill R.V. and Brown J.W., “Fourier Series and Boundary Value Problems”, 4th Edition,
McGraw-Hill Book Co., 1987.
2. Veerarajan .T, “Engineering Mathematics III”, 3rd 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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