1. Algebra of complex numbers, addition, multiplication, conjugation, polar representation, triangle inequality, properties of modulus and principal argument, cube roots of unity, geometric interpretations.
2. Quadratic equations with real coefficients, formation of quadratic equations with given roots, relations between roots and coefficients, symmetric functions of roots.
3. Arithmetic, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, geometric and harmonic progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
4. Logarithms and their properties
5. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients
6. Matrices as a rectangular array of real numbers, addition, multiplication by a scalar and product of matrices, equality of matrices, transpose of a matrix, determinant of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, inverse of a square matrix of order up to three, solutions of simultaneous linear equations in two or three variables.
7. Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations
