Anna University 3rd Semester Syllabus for M3 .
Get syllabus for Transforms and Partial Differential Equations common to all branch syllabus,

181301 Transform and Partial Differential Equations  3 1 0 4

(Common to all branches) 

OBJECTIVES 

The course objective is to develop the skills of the students in the areas of Transforms 

and Partial Differtial Equations. This will be necessary for their effective studies in a 

large number of engineering subjects like heat conduction, communication systems, 

electro-optics and electromagnetic theory. The course will also serve as a prerequisite 

for post graduate and specialized studies and research. 

1. FOURIER SERIES 9 + 3

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 

identify – Harmonic Analysis.

2. FOURIER TRANSFORMS 9 + 3

Fourier integral theorem (without proof) – Fourier transform pair – Sine and 

Cosine transforms – Properties – Transforms of simple functions – Convolution theorem 

– Parseval’s identity.

3. PARTIAL DIFFERENTIAL EQUATIONS 9 +3 

Formation of partial differential equations – Lagrange’s linear equation – Solutions of 

standard types of first order partial differential equations - Linear partial differential 

equations of second and higher order with constant coefficients.

4. APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS 9 + 3

Solutions of one dimensional wave equation – One dimensional equation of heat 

conduction – Steady state solution of two-dimensional equation of heat conduction 

(Insulated edges excluded) – Fourier series solutions in cartesian coordinates. 

5. Z -TRANSFORMS AND DIFFERENCE EQUATIONS 9 + 3

Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -

Formation of difference equations – Solution of difference equations using Z-transform.

Lectures : 45 Tutorials : 15 Total : 60 

TEXT BOOKS

1. Grewal, B.S, “Higher Engineering Mathematic”, 40th

Edition, Khanna publishers, 

Delhi, (2007)

REFERENCES

1. Bali.N.P and Manish Goyal, “A Textbook of Engineering Mathematic”, 7thEdition, 

Laxmi Publications(P) Ltd. (2007)

2. Ramana.B.V., “Higher Engineering Mathematics”, Tata Mc-GrawHill Publishing 

Company limited, New Delhi (2007).

3. Glyn James, “Advanced Modern Engineering Mathematics”, 3rdEdition, Pearson 

Education (2007).

4. Erwin Kreyszig, “Advanced Engineering Mathematics”, 8

thedition, Wiley India 

(2007).


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