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# Transforms and Partial Differential Equations Notes pdf file – TPDE notes pdf file

## Transforms and Partial Differential Equations Notes pdf file – TPDE notes pdf file

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

TPDE:Complete pdf Notes

TPDE:Unit 1 pdf Notes

TPDE:Unit 2 pdf Notes

TPDE:Unit 3 pdf Notes

TPDE:Unit 4 pdf Notes

TPDE:Unit 5 pdf 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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