MA6351 Transform and Partial Differential Equations Syllabus Notes Question Papers 2 Marks with Answers Question Bank - MA6351 TPDE M3 Study Materials
MA6351
Transform and Partial Differential Equations Syllabus Notes Question
Papers 2 Marks with
Answers Question Bank with answers Anna University MA6351 TPDE M3 Notes
Syllabus 2 Marks with answers Part A Part B Problems Anna University 3rd
Semester Common to all Departments - Regulation 2013 3rd
Semester Syllabus Notes
Anna University MA6351 Transform and Partial Differential Equations (M3) Notes Syllabus 2 marks with answers Part A Question Bank with answers- Common for all Departments
Anna University MA6351 Transform and Partial Differential Equations Syllabus Notes 2 marks with answer is provided below. MA6351 Notes Syllabus all 5 units notes
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MA6351 TRANSFORMS AND PARTIAL DIFFERENTIAL EQUATIONS SYLLABUS REGULATION 2013
UNIT I PARTIAL DIFFERENTIAL EQUATIONS
Formation of
partial differential equations – Singular integrals -- Solutions 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 of both homogeneous
and non-homogeneous types.
UNIT II 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 identity – Harmonic analysis.
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 APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS
Classification of
PDE – Method of separation of variables - Solutions of one dimensional
wave equation - One dimensional equation of heat conduction – Steady
state solution of two dimensional equation of heat conduction (excluding
insulated edges).
UNIT IV FOURIER TRANSFORMS
Statement of
Fourier integral theorem – Fourier transform pair – Fourier sine and
cosine transforms – Properties – Transforms of simple functions –
Convolution theorem – Parseval’s identity.
UNIT V Z - TRANSFORMS AND DIFFERENCE EQUATIONS
Z- transforms -
Elementary properties – Inverse Z - transform (using partial fraction
and residues) – Convolution theorem - Formation of difference equations –
Solution of difference equations using Z - transform.
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