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Transforms and Partial Differential Equations pdf Notes – TPDE pdf Notes

Transforms and Partial Differential Equations pdf Notes- TPDE pdf Notes file

Transforms and Partial Differential Equations pdf Notes – TPDE pdf Notes – TPDE pdf Notes file to download are listed below please check it –

Download TPDE:Complete Notes

Download TPDE:Unit 1 Notes

Download TPDE:Unit 2 Notes

Download TPDE:Unit 3 Notes

Download TPDE:Unit 4 Notes

Download TPDE:Unit 5 Notes

Note :- These notes are according to the R09 Syllabus book of JNTU.In R13 and R15,8-units of R09 syllabus are combined into 5-units in R13 and R15 syllabus. If you have any doubts please reTPDEr to the JNTU Syllabus Book.

Unit-1:

  • Partial Differential Equations,Formation of partial Differental equations by Eliination of arbitrary constants,
  • Foration of PDE by Elimination of arbitary Constants Functions,taylor’s and maclaurin’s series,
  • expansion by use of known series,expansion by forming a differential equation,asymptotes,curvater,
  • radius of curvature for cartesian,parametric and polar curves,centre of curvature and chord of curvature,tracing of cartesian and polar curves.

Unit-2:

  • Periodic Function,Fouries Series,Uses of Fouries Series,Dirichlet Condition,Even functon,odd function,
  • Partial dirrentiation and its applications,functions of two or more variables partial derivatives
  • total differential and differntiability,derivaties of composite and implict functions,change of variables.

Unit-3:

  • Homogeneous functions,euler’s theorm,jacobian,taylors and maclaurin’s series for functions of two variables,
  • errors and approximations,maxima-minima of functions of two variables,lagranges method of undetermined multipliers,differentiation under the integral sign,

Unit-4:

  • Multiple integrals and their multiplications,double integral,change of order of integration double integral in polar coordinates,
  • applications of double integral to find area enclosed by lane curves and volume of solids of revolution,
  • triple integral,volume of solids,change of variables,beta and gamma functions and relatioship between them.

Unit-5:

  • vector calculus:differential of vectors,scalar and vector point functions gradient of a scalar,field and directional derivative,
  • divergence and curl of a vector field and their physical interpretations,del applied twice to point functions,
  • integration of vectors,line integral,surface integral,volume integral,green’s,stoke’s and guass divergence theorms  and their simple applications.

 

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