Advanced Engineering Mathematics Tuition

Engineering Mathematics-2 Syllabus may vary according to university. In some university Engineering Mathematics is also called Advanced Engineering Mathematics Or Applied Mathematics

• Ordinary Differential Equation of Higher Order: Linear differential
  equation of nth order with constant coefficients, Simultaneous linear
  differential equations, Second order linear differential equations with variable
  coefficients, Solution by changing independent variable, Reduction of order,
  Normal form, Method of variation of parameters, Cauchy-Euler equation.
• Multivariable Calculus-II: Introduction of Improper integrals, Beta & Gama
  function and their properties, Dirichlet’s integral and its applications,
  Application of definite integrals to evaluate surface areas and volume of
  revolutions.
• Sequences and Series: Definition of Sequence and series with examples,
  Convergence of sequence and series, Tests for convergence of series, (Ratio
  test, D’ Alembert’s test, Raabe’s test). Fourier series, Half range Fourier sine
  and cosine series.
• Complex Variable–Differentiation: Limit, Continuity and differentiability,
  Functions of complex variable, Analytic functions, Cauchy- Riemann
  equations (Cartesian and Polar form), Harmonic function, Method to find
  Analytic functions, Conformal mapping, Mobius transformation and their
  properties.
• Complex Variable –Integration: Complex integrals, Contour integrals,
  Cauchy- Integral theorem, Cauchy integral formula, Taylor’s and Laurent’s
  series (without proof), Singularities, Classification of Singularities, zeros of
  analytic functions, Residues, Methods of finding residues, Cauchy Residue
  theorem, Evaluation of real integrals of the types