Engineering Mathematics-I B.Tech Tuition Classes In Noida

Engineering Mathematics-I B.Tech Tuition Classes In Noida

 

Matrices,  Related  matrices,  Complex  matrices  (Hermitian  and  skew

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Hermitian

matrices, 

Unitary  matrix),  Solution  of  linear  system  of  equations,  Rank  of  a  matrix,  Gauss

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Jordan 

method,  Normal  form  of  a  matrix,  Vectors,  Linear  dependence,  Consistency  of  a  linear 

system of equations, Rouche‟s theorem, System of linear homogeneous equa

tions, Linear and 

orthogonal  transformations,  Characteristic  equation,  Eigen  values,  Eigen  vectors,  Properties 

of eigen  values, Cayley

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Hamilton theorem, Reduction to diagonal form, Quadratic  form and 

their reduction to canonical form.

Convergence and divergence of infinite series, Geometric series test, Positive term series, p

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series  test,  [Comparison  test,  D‟Alembert‟s  ratio  test,  Cauchy‟s  root  test  (Radical  test), 

Integral test, Raabe‟s test, Logarithmic test, Gauss‟s test] (witho

ut proofs), Alternating series 

and Leibnitz‟s rule, Power series, Radius and interval of convergence.                                                       Indeterminate forms, Part

ial Differentiation and its geometrical interpretation, Homogeneous 

functions,  Euler‟s  theorem  and  its  extension,  Total  differentials,  Composite  function, 

Jacobian,  Taylor‟s  and  Maclaurin‟s  infinite  series,  Errors  and  increments,  Introduction  to 

limits and

Indeterminate forms, Maxima and minima of functions of two variables, Method of 

undetermined multipliers. Curve tracing

Quadrature,  Rectification,  Surface  and  Volume  of  revolution  for  simple  curves,  Double 

integrals  and  their  applications,  Change  of  order  of  integration,  Change  of  variables,  Triple 

integrals and their applications, Change of variables.     

Differentiation  of  vectors,  Curves  in  space,  Velocity  and  acceleration,  Relative  velocity  and 

acceleration, Scalar and vector point functions, Vector operator del, gradient, divergence and 

curl  with  their  physical  interpretations,  Formulae  involving  grad

ient,  divergence  and  curl. 

Line,  surface  and  volume  integrals,  Theorems  of  Green,  Stokes  and  Gauss  (without  proofs) 

and their verifications and applications, Irrotational and Solenoidal fields.        

B.Tech Tuition Classes are available in Group Or Individual Basis or Online. For More Details About Timing Fees Please, Visit our Office - C-Block, Khurana House,Sector-521, Noida, 9891500587, 9650308924

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