1. NATURAL NUMBERS, INTEGERS, RATIONAL, IRRATIONAL AND REAL NUMBERS 2. COMPLEX NUMBERS 3. MAPPING, RELATION AND PARTION 4. GENERAL PROPERTIES OF EQUATIONS 5. RELATION BETWEEN THE ROOTS AND COEFFICIENTS 6. TRANSFORMATION OF EQUATIONS 7. CHARACTER AND POSITION OF THE ROOTS (DESCRATE’S RULE OF SIGN) 8. SOLUTION OF CUBIC EQUATIONS (CORDAN’S METHOD) 9. SOLUTION OF BIQUADRATIC EQUATIONS (QUADRATIC EQUATIONS) 10. ELEMENTARY OPERATIONS ON MATRICES 11. SPECIAL FORMS OF MATRICES 12. ADJOINT AND INVERSE OF A MATRIX 13. DE MOIVRE’S THEOREM AND ITS APPLICATIONS 14. EXPONENTIAL, CIRCULAR AND HYPERBOLIC FUNCTIONS 15. LOGARITHMIC FUNCTIONS OF COMPLEX NUMBERS 16. INVERSE CIRCULAR AND HYPERBOLIC FUNCTIONS COMPLEX NUMBERS 17. GREGORY’S SERIES 18. SUMMATION OF TRIGONOMETRICAL SERIES