Infinite series Tuition
Tutor Coaching in Delhi Gurgaon Noida Convergence and divergence, comparison
tests, D'
Alembert's ratio test, integral
test, Raabe's test, logarithmic and Cauchy
root tests, Gauss's test,
alternating series, absolute and conditional
convergence.
Matrices &
Its Application Tuition Tutor Coaching in Delhi Gurgaon Noida Rank of a
matrix, elementary
transformations, elementary
matrices, inverse using elementary
transformations, normal form of a
matrix, linear dependence and
independence of vectors,
consistency of linear system of equations,
linear and orthogonal
transformations, eigenvalues and eigenvectors,
properties of eigenvalues,
Cayley- Hamilton theorem and its
applications, diagonalization of
matrices, similar matrices, quadratic
forms.
Differential
Calculus Tuition Tutor Coaching in Delhi Gurgaon Noida Successive
differentiation, Leibnitz theorem
and applications, Taylor's and
Maclaurin's series, curvature,
asymptotes, curve tracing.
Functions of two or more variables, limit
and continuity, partial derivatives,
total differential and differentiability,
derivatives of composite and
implicit functions, jacobians, higher order
partial derivatives, homogeneous
functions, Euler's Theorem and
applications. Taylor's series for
functions of two variables (without
proof), maxima-minima of function
of two variables. Lagrange's method
of undetermined multipilers,
differentiation under integral sign (Leibnitz
rule).
Integral
Calculus Tuition Tutor Coaching in Delhi Gurgaon Noida Beta and gamma
functions and relationship
between them. Applications of
single integration to find volume of
solids and surface area of solids
of revolution. Double integral, change
of order of integration, double
integral in polar coordinates, applications
of double integral to find area
enclosed by plane curves, triple integral,
change of variables, volume of solids, Dirichlet's
integral.
No comments:
Post a Comment