MA2111 TPDE 3rd Sem Civil Engineering Syllabus Copy Anna University

MA2111 TPDE - (Transforms and Partial Differential Equations) syllabus copy for B.E 3rd Semester- Civil Engineering | Anna University

MA2211 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS

                         (Common to all B.E. / B.Tech. Degree Programmes)

OBJECTIVES :

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

Partial Differential 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.

UNIT I FOURIER SERIES 

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.22

UNIT II FOURIER TRANSFORMS

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

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

Parseval’s identity.

UNIT III PARTIAL DIFFERENTIAL EQUATIONS

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.

UNIT IV 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 (Insulated edges

Excluded) – Fourier series solutions in Cartesian coordinates.

UNIT V Z -TRANSFORMS AND DIFFERENCE EQUATIONS

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

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

TOTAL (L: 45+T:15): 60 PERIODS

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”, 7th Edition, 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”, 3rd Edition, Pearson Education

(2007).

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

th edition, Wiley India (2007).

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