a) Functions – Types of functions a) Functions – Types of functions b) Mathematical induction and Applications b) Mathematical induction and Applications c) Permutations and Combinations – linear and circular permutations c) Permutations and Combinations – linear and circular permutations d) Binomial theorem for any rational index – applications d) Binomial theorem for any rational index – applications e) Partial fractions e) Partial fractions f) Exponential f) Exponential g) Quadratic expressions, equations. g) Quadratic expressions, equations. h) Theory of equations: Relations between the roots and Coefficients in any equation h) Theory of equations: Relations between the roots and Coefficients in any equation I) Transformation of equations – reciprocal equations I) Transformation of equations – reciprocal equations j) Matrices and determinants: Types of matrices j) Matrices and determinants: Types of matrices k) Properties of determinants k) Properties of determinants l)The three variables l)The three variables m) Consistency and inconsistency of simultaneous equations m) Consistency and inconsistency of simultaneous equations n) Complex numbers and their properties : Applications n) Complex numbers and their properties : Applications