Transforms and Partial Differential Equations Notes pdf – TPDE notes pdf file
Transforms and Partial Differential Equations Notes pdf – TPDE pdf notes – TPDE notes pdf 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.
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.
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.
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,
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.
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.