MA1201 – TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
MA1201 – TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS
(Common to all branches)
L T P C
3 1 0 4
UNIT I 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 II FOURIER TRANSFORMS 9
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 9
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 9
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 9
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -
Formation of difference equations – Solution of difference equations using Z-transform.
L: 45 T: 15 Total: 60
TEXTBOOKS
1. Grewal, B.S., “Higher Engineering Mathematics”, 39th Edition, Khanna
Publishers, 2007.
2. Bali, N.P. and Manish Goyal, “A Textbook of Engineering Mathematics”, 7th
Edition, Laxmi Publications (P) Ltd, 2008.
REFERENCES
1. Ramana, B.V., “Higher Engineering Mathematics”, 2nd Edition, Tata McGraw
Hill, 2008.
2. Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson
Education, 2007.
3. Erwin Kreyszig, “Advanced Engineering Mathematics” 8th Edition, Wiley India,
2007.
(Common to all branches)
L T P C
3 1 0 4
UNIT I 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 II FOURIER TRANSFORMS 9
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 9
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 9
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 9
Z-transforms - Elementary properties – Inverse Z-transform – Convolution theorem -
Formation of difference equations – Solution of difference equations using Z-transform.
L: 45 T: 15 Total: 60
TEXTBOOKS
1. Grewal, B.S., “Higher Engineering Mathematics”, 39th Edition, Khanna
Publishers, 2007.
2. Bali, N.P. and Manish Goyal, “A Textbook of Engineering Mathematics”, 7th
Edition, Laxmi Publications (P) Ltd, 2008.
REFERENCES
1. Ramana, B.V., “Higher Engineering Mathematics”, 2nd Edition, Tata McGraw
Hill, 2008.
2. Glyn James, “Advanced Modern Engineering Mathematics”, 3rd Edition, Pearson
Education, 2007.
3. Erwin Kreyszig, “Advanced Engineering Mathematics” 8th Edition, Wiley India,
2007.
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