Santhanam Krishnan
7
Followers
Personal Information
Unternehmen/Arbeitsplatz
Tiruchchirappalli Area, India India
Beruf
Assistant Professor in Mathematics ( Department of Mathematics)
Branche
Education
Info
* Resourceful, dedicated, and proactive teacher
* Highly enthusiastic, motivated ,reliable and self-directed educational professional having strong background as mathematics teacher.
* Excellent speaking, listening and facilitating skills backed by a deep rooted interest in mathematics.
* Adept at structuring the classroom environment to facilitate learning
* Familiar with various learning disabilities and associated remedial teaching strategies
Tags
parseval's identity
reduction formula
integration by parts
properties of definite integral
nature of canonical form.
rank
signature
index
order
conversion from quadratic to canonical form
quadratic form and canonical form
denationalization of a matrix by orthogonal transf
orthogonal transformation of symmetric matrix
pairwise orthogonal
orthogonal matrix
properties of eigen values
cayley- hamilton theorem & applications
eigen vector
eigen value
some types of matrices
convergent and divergent of integration
improper integral
irrational function integration
rational
partial fraction
substitution
method of integration
problem based on properties
definite and indefinite integrals
basic concepts of integration
differentiation of implicit functions.
constraint maxima & minima ( lagrangian multiplier
maxima & minima (extreme values)
stationary points
taylor's expansion
jacobian
total differentiation
partial differentiation
convex upward & convex downward - first & second d
local maxima & minima
absolute maxima & minima
decreasing functions
increasing
turning points
critical points/ stationary points
differential calculus maxima minima
cosine transforms
properties of fourier transform and fourier sine
convolution of two functions
cosine transform
inverse fourier sine
fourier sine
inverse fourier transform
fourier transform
fourier integral formula
complex form of fourier series
half range cosine & sine series root mean square
2pi)
(0
pi)
(-pi
l)
(-l
2l)
fourier series in the intervals (0
change of interval
euler's formula for fourier coefficients
even & odd functions
fourier series
dirichlet's condition
periodic function
type iv when f(x y) = e^(ax+by)g(x y)
type iii when f(x y) = x^r y^s
type ii when f(x y) = sin(ax+b) or cos(ax+b)
type i when f(x y) = e^(ax+by)
f(z^mp z^m q)=0
f(x^mp y^n q)=0
z=px+qy+f(pq)-clariaut form
f(x y z p q)=0
f(y p q)=0
f(x p q)=0
f(z p q)=0
f(p q)=0
method of lagrangian multipliers
method of grouping
lagrangian linear equation
solution to pde pp +qq = r
laplace transformation of periodic and anti-period
change of scale
solving differential equation
final value and initial value
laplace table
convolution
integration
differentiation
first and second shifting theorem
linearity
properties of laplace transform
inverse transform
laplace transform
evaluation various types of complex integrals.
cauchy's residue theorem
singularities and zeros
laurent's series
maclaurin’s series
taylor's series
cauchy's integral formula for derivatives
cauchy's integral formula
cauchy's integral theorem
simultaneous first order linear differential equat
method of variation of parameters
legendre's equation
euler cauchy's equation
linear functions with constant variables
bernoulli's theorem
definite integrals
integration of irrational algebraic functions
integration of rational algebraic functions
methods of integration
bilinear transformation
construction of analytic function
harmonic function
analytic function
gauss divergence theorem
stoke's theorem
green's theorem
volume integral
surface integral
lineintegral
directional derivative
scalarpotential
conservative
workdone
irrotational
solenoidal
curl
div
grad
latin square
two way calssification
one way classification
various method to solve ode by numerical methods
numerical differentiation & integration
interpolation
solution of equation - numerical method
testing of hypothesis
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