Topics |
Subtopics |

Relation and Functions |
Relation, Relation on a set. Types of relation |

Equivalence Relation, Equivalence Class | |

Function, types of Function, Inverse of a function, bijectivity of a function composite function, | |

Inverse trigo, principal range, and related formulae | |

Continuity | Continuity |

Differentiability | Derivative (Chain Rule), 1st. Order and second-order, MVT |

Application of Derivatives | Rate measure (application in sphere, cylinder, cone etc.), Increasing & Decreasing Functions |

Application of Derivatives |
Local minima, Maxima, Absolute maxima and minima, Point of Inflexion, Concavity and word problem related cylinder, cone, etc. |

Tangent & Normal, Angle between curves at the point of intersection | |

Approximation | |

Matrices and Determinant |
Matrices (Inverse, Transpose, Adjoint and Symmetric and Skew symmetric, Solve by matrix method (Martin’s Rule), Word problem by matrix method. |

Determinant, properties, area of the triangle |

LPP |
L.P.P, , Mathematical Formulation |

Bounded and Unbounded Region | |

Transportation Problem | |

Indefinite integral | Integration Properties, Formulae, solution by substitution, by parts |

Topics |
Subtopics |

Relation and Functions |
Relation, Relation on a set. Types of relation |

Equivalence Relation, Equivalence Class | |

Function, types of Function, Inverse of a function, bijectivity of a function composite function, | |

Inverse trigo, principal range and related formulae | |

Continuity | Continuity |

Differentiability | Derivative (Chain Rule), 1st. Order and second-order, MVT |

Application of Derivatives | Rate measure (application in sphere, cylinder, cone etc.), Increasing & Decreasing Functions |

Application of Derivatives |
Local minima, Maxima, Absolute maxima and minima, Point of Inflexion, Concavity and word problem-related cylinder, cone, etc. |

Tangent & Normal, Angle between curves at the point of intersection | |

Approximation | |

Matrices and Determinant |
Matrices (Inverse, Transpose, Adjoint and Symmetric and Skew symmetric, Solve by matrix method (Martin’s Rule), Word problem by matrix method. |

Determinant, properties, area of a triangle | |

LPP |
L.P.P, , Mathematical Formulation |

Bounded and Unbounded Region | |

Transportation Problem | |

Indefinite integral | Integration Properties, Formulae, solution by substitution, by parts |

Partial fraction, special integrals |

Topics |
Subtopics |

Integration | Definite integral as a limit of a sum, different properties of definite integral |

Probability |
Probability(Conditional), Baye’s Theorem, Random Variable, Distribution, Mean and Variance, Binomial Distribution |

Area Under Curve | The area under the curve (Rough sketch of the curve and calculating area by using integration) |

Differential Equation |
Differential Equations, Formation, Order & Degree, and Solve the differential equation, Method of separation, substitution, homogeneous diff equation, integrating factor and linear diff equation |

Vectors | Vectors, dot and cross product, geometry |

3D Geometry |
Scalar triple product, Condition of coplanarity |

Direction Cosine of line, Angle between lines, Condition of parallel and perpendicular lines, Straight line(3 D), Equation of line passing through two points, Shortest distance between two skew lines, Planes(3D), Equation of plane, Normal form, Perpendicular distance from a Point, Parallel planes, Family of planes,Vector and scalar form . |