Chapter No. | Name of Chapter | Sub – topic |
| 1 | RELATIONS AND FUNCTIONS | REFLEXIVE, SYMMETRIC AND TRANSITIVE |
| TYPES OF FUNCTIONS |
| INVERTIBLE FUNCTIONS |
| BINARY FUNCTIONS |
| Miscellaneous Problems |
| 2 | INVERSE TRIGONOMETRIC FUNCTIONS | PRINCIPLE VALUES |
| PROPERTIES OF INVERSE TRIGONOMETRIC FUNCTIONS |
| Miscellaneous Problems |
| 3 | MATRICES | INTRODUCTION |
| TYPES OF MATRICES, EQUALITY OF MATRICES |
| PROP. OF MATRICES |
| TRANSPOSE OF A MATRIX |
| ELEMENTRY TRANSFORMATION |
| Miscellaneous Problems |
| 4 | DETERMINANTS | INTRODUCTION |
| PROP. OF DETERMINANTS |
| AREA OF TRIANGLE |
| MINORS AND COFACTORS |
| ADJOINT AND INVERSE OF A MATRIX |
| APPLICATION OF A MATRIX |
| Miscellaneous Problems |
| 5 | CONTINUITY AND DIFFERENTIABILITY | CONTINUITY |
| CHAIN RULE, PRODUCT RULE, QUOTIENT RULE |
| DIFFERENTIATION OF IMPLICIT FUNCTIONS |
| DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS |
| DIFFERENTIATION OF E FUNCTIONS |
| DIFFERENTIATION OF LOG FUNCTIONS |
| DIFFERENTIATION IN PARAMETRIC FORMS |
| SECOND ORDER DERIVATIVES |
| MEAN VALUE THEOREMS |
| Miscellaneous Problems |
| 6 | APPLICATION OF DERIVATIVES | RATE OF TRANSFER |
| INCREASING DECREASING FUNCTIONS |
| TANGENTS AND NORMALS |
| APPROXIMATIONS |
| MAXIMA MINIMA |
| Miscellaneous Problems |
| 7 | INTEGRATION | INTRODUCTION TO INTEGRATION |
| INTEGRATION BY SUBSTITUTION |
| INTEGRATION USING TRIGONOMETRIC IDENTITIES |
| INTEGRATION OF SOME OARTICULAR FUNCTIONS |
| INTEGRATION BY PARTIAL FUNCTIONS |
| INTEGRATION BY PARTS |
| INTEGRATION OF MORE TYPES |
| INTEGRATION AS LIMIT AS A SUM |
| DEFINITE INTEGRALS |
| DEFINITE INTEGRALS USING SUBSTITUTION |
| DEFINITE INTEGRALS USING PROPERTIES |
| Miscellaneous Problems |
| 8 | APPLICATIONS OF INTEGRALS | AREA UNDER A LINE AND A CURVE |
| AREA BETWEEN TWO CURVES |
| AREA OF A TRIANGULAR SECTION |
| Miscellaneous Problems |
| 9 | DIFFERENTIAL EQUATIONS | ORDER AND DEGREE OF A DIFFERENTIAL EQUATION |
| GENERAL AND PARTICULAR SOLUTIONS OF A DIFFERENTIAL EQUATION |
| FORMATION OF A DIFFERENTIAL EQUATION |
| DIFFERENTIAL EQUATION BY VARIABLE SEPERATION |
| HOMOGENEOUS DIFFERENTIAL EQUATIONS |
| LINEAR DIFFERENTIAL EQUATION USING INTEGRAL FACTOR |
| Miscellaneous Problems |
| 10 | VECTORS | INTRODUCTION TO VECTORS |
| ADDITION OF VECTORS |
| SCALAR PRODUCT OF TWO VECTORS |
| VECTOR PRODUCT OF VECTORS |
| Miscellaneous Problems |
| 11 | Three Dimensional Geometry | DIRECTION RATIOS |
| DIRECTION COSINES |
| EQUATION OF A LINE |
| ANGLE BETWEEN TWO LINES |
| SHORTEST DISTANCE BETWEEN TWO LINES |
| DISTANCE BETWEEN TWO SKEW LINES |
| DISTANCE BETWEEN PARALLEL LINES |
| EQUATION OF A PLANE IN NORMAL FORM |
| EQUATION OF A PLANE PERPENDICULAR TO GIVEN VECTOR AND PASSING THROUGH A POINT |
| EQUATION OF A PLANE PASSING THROUGH 3 NON COLLINEAR POINTS |
| EQUATION OF A PLANE PASSING THROUGH INTERSECTION OF TWO PLANES |
| INTERCEPT OF A PLANE |
| COPLANARITY OF TWO LINES |
| ANGLE BETWEEN TWO PLANES |
| DISTANCE OF A POINT FROM A PLANE |
| ANGLE BETWEEN A LINE AND A PLANE |
| DISTANCE BETWEEN TWO PLANES |
| Miscellaneous PROBLEMS |
| 12 | Linear Programming | GRAPHICAL PROBLEMS |
| WORD PROBLEMS |
| Miscellaneous PROBLEMS |
| 13 | Probability | CONDITIONAL PROBABILITY |
| MULTIPLICATION THEOREM |
| INDEPENDENT EVENTS |
| BAYE’S THEOREM |
| PROBABILITY DISTRIBUTION |
| MEAN AND VARIANCE |
| BINOMIAL DISTRIBUTION |
| Miscellaneous PROBLEMS |
