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MATHEMATICS (differential calculus (succesice differentiation (standard…
MATHEMATICS
differential calculus
succesice differentiation
standard results
lebinit'z derivative
fundamental theorems
expansion of functions
intermediate forms
tangents and normals
solution of equations
general properties
transformation of equations
reciprocal equations
solution of cubic equations
cardan's method
solution of biquadratic equations
decarte's method
graphical solution of equations
linear algebra
determinants
cofactors
laplace expansion
properties of determinants
matrices
special matrices
matrices operations
related matrices
rank of a matrix
elementary transformation
eqivalent matrix
elementary matrices
gauss jordan method
normal form of a matrix
partician method of finding matrix
solution of linear system of equations
consistency of linear system of equations
linear transformations
vectors
eigen values
properties of eigen values
cayley hamilton theorem
reduction to diagonal form
reductioin of quadratic form to diagonal form
nature of quadratic form
complex matrices
vector algebra and solid geometry
vectors
section formula
product of two vectors
scalar or dot product
vector or cross product
physical applications
product of three or more vectors
scalar product of three vectors
vector product of three vectors
equation of a plane
equation of astraight line
condition of a line to lie in a plane
condition of two lines to intersect
shortest distance between two lines
intersection of three planes
sphere
equation of a tangent plane
cone
cylinder
quadratic surfaces
elipsoid
hyperbola of one sheet
hyperbola of two sheets
cone
ellipticla paraboloid
hyperbolic paraboloid
surface of revoloution
scalar or two vectors