Complex numbers as ordered pairs. Argand's diagram. Triangle inequaility. De Moivre's Theorem.
Algebra: Quadratic equations and expressions. Permutations and combinations. Binomial theorem for a positive integral index.
Coordinate Geometry: Locus, Straight lines. Equations of circle, parabola, ellipse and hyerbola in standard forms. Parametric representation.
Vectors: Addition of vectors. Multiplication by a scalar. Scalar product, cross product and scalar triple product with geometrical applications.
Matrices and Determinants: Algebra of matrices. Determinants and their properties. Inverse of a matrix. Cramer's rule.