GATE 2014 Aerospace Engineering Syllabus – Mathematics

Engineering Mathematics

Linear Algebra

  • Matrix algebra,
  • Systems of linear equation,
  • eigen values and eigen vectors.

Calculus

  • Functions of single variable, limit, continuity and differentiability,
  • Mean value theorems,
  • Evaluation of definite and improper integral,
  • Partial derivatives,
  • Total derivatives,
  • Maxima and minima,
  • Gradient, divergence and curl,
  • Vector identities,
  • Directional derivatives, line, surface and volume integrals,
  • Theorems of Stokes, Gauss and Green.

Differential calculus

  • Frist order linear and nonlinear equations,
  • Higher order linear ODEs with constant coefficients,
  • Cauchy and Euler equations,
  • Initial and boundary value problems,
  • Laplace transforms.
  • Partial differential equations and separation of variables methods.

Numerical Methods

  • Numerical solution of linear and nonlinear algebraic equations,
  • Integration by trapezoidal and Simpson rule,
  • Single and Multi-step methods for differential equations.

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