Rajan M Sc M Phil M Ed Patched - 12th Mathematics Chapter Study Material English Medium 2021 By S

| Chapter No. | Topic Name | Key Sub-topics | |-------------|-------------|----------------| | 1 | Relations and Functions | Types of functions, composition, invertible functions, binary operations | | 2 | Inverse Trigonometric Functions | Principal values, properties, simplifications | | 3 | Matrices | Types, operations, elementary transformations, inverse using adjoint | | 4 | Determinants | Properties, minors/cofactors, applications (Cramer’s rule, area of triangle) | | 5 | Continuity & Differentiability | Chain rule, implicit differentiation, logarithmic differentiation | | 6 | Applications of Derivatives | Rate of change, tangents/normals, maxima/minima | | 7 | Integrals | Indefinite integrals, integration by parts, definite integrals & properties | | 8 | Applications of Integrals | Area under curves, area between two curves | | 9 | Differential Equations | Order/degree, variable separable, homogeneous, linear (integrating factor) | | 10 | Vector Algebra | Dot/cross product, scalar triple product, section formula | | 11 | Three-dimensional Geometry | Lines (vector & cartesian), planes, angle/distance formulas | | 12 | Linear Programming | LPP formulation, graphical method, corner point method | | 13 | Probability | Conditional probability, Bayes’ theorem, binomial & Poisson distributions |

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Rajan's material, or would you like a to focus on for your revision? S. Rajan 12th Maths Study Material | PDF - Scribd applications (Cramer’s rule