TB Functions of Several Variables and Partial Differential Equations | Edition-2 | Pages-222 | Code- 1216|Concept+ Theorems/Derivation + Solved Numericals ... Exercise | Text Book
SYLLABUS- FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIAL EQUATIONS, Functions of several Limit, continuity and differentiability of functions of several variables.Partial Partial derivatives and their geometrical interpretation, differentials, derivatives of composite and implicit functions, Jacobians, Chain rule, Euler’s theorem on homogeneous functions, harmonic functions, Taylor’s expansion of functions of several variables.Maxima and Maxima and minima of functions of several variables – Lagrange’s method of multipliers.Partial differential Partial differential equations of first order, Charpit’s method, Linear partial differential equations with constant coefficients. First-order linear, quasi-linear PDE's using the method of characteristics.Partial differential equations of 2 Classification of 2nd-order linear equations in two independent hyperbolic, parabolic and elliptic types (with examples).