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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 –

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.