Mathematics I

  • Vector spaces- Vectors in -Inner product and exterior product.
  • Equations of a line in space-Parallel lines-Skew lines-Equation of a plane-Distance from a plane-Equation of sphere.
  • Sequences and Series-Differential Calculus (limits, continuity, derivative, Taylor expansion, approximations)-Integral Calculus (definite integral, indefinite integral with applications)-Integration of rational functions-Fourier Series.
  • Complex numbers-Modulus and argument-De Moivre’s formula-roots of unity.
  • Matrices-Operations of matrices-Determinants-Inverse matrix-Systems of linear equations.