• Polynomial and classification of fractions
• Resolution of proper fraction into partial fractions
• Division algorithm
• Resolution of improper fractions into partial fractions

• Definition
• Fundamental theorem of algebra
• Complex numbers
• Square roots, cube roots and fourth roots of unity
• Relation between roots and coefficients - cubic and biquadratic equations
• Solution of cubic and biquadratic equations
• Synthetic division - solution of equations using synthetic division
• Irrational and complex roots

• Recapitulation of permutations and combinations - proofs of standard theorems
• Binomial Theorem - statement and proof for a positive integral index.
• Binomial coefficient

• Definitions - Logical Proposition - Truth value-
• Simple and compound propositions - Logical connectives
• Tautology and contradiction - Logical equivalence
• Converse, inverse and contra positive of a given conditional
• Switching circuits and Boolean polynomial

• Angle
• Measurement of angles
• Relations between radian measure and sexagesimal measure
• Trigonometric ratios (functions) of an acute angle
• Relations and identities involving trigonometric ratios
• Trigonometric ratios of and
• Heights and distance
• Trigonometric ratios of any angle
• Trigonometric ratios of allied angles
• T ......

• Co - ordinate system - Rectangular co - ordinate system in a plane (Cartesian)
• Distance formula
• Section formulae
• Mid-point formula
• Centroid of a triangle
• Area of a triangle
• Locus of a point
• Straight line
• Conditions for parallel and perpendicular lines
• Different forms of the equation of a straight line
• Gen ......