The Class XII CBSE Mathematics syllabus builds on foundational concepts from Class XI and delves deeper into advanced topics. The chapters include:
Relations and Functions: Explores various types of relations and functions, including inverse functions, and their properties, with practical applications.
Inverse Trigonometric Functions: Introduces inverse trigonometric functions, their properties, and graphs, as well as solving equations involving these functions.
Matrices: Covers matrix operations, determinants, and applications, including the inverse of matrices and solving systems of linear equations using matrices.
Determinants: Focuses on the properties of determinants, their applications in finding the area of triangles, and solving linear equations.
Continuity and Differentiability: Explores the concepts of continuity and differentiability of functions, including theorems related to derivatives and their applications.
Applications of Derivatives: Includes the application of derivatives to problems involving maxima and minima, tangents, and normals.
Integrals: Introduces the concept of integration, including definite and indefinite integrals, and their applications in finding areas under curves.
Applications of Integrals: Focuses on practical applications of integration, such as finding the area between curves and the volume of solids of revolution.
Differential Equations: Covers the basics of differential equations, including their formation and solutions, and their applications.
Vectors: Introduces vectors, their operations, and applications in geometry, including dot and cross products.
Three-Dimensional Geometry: Focuses on the geometry of three-dimensional space, including the equations of lines, planes, and their intersections.
Linear Programming: Explores linear programming problems, including formulation, graphical solution, and applications in optimization.
Probability: Extends probability concepts to include probability distributions, expectations, and variance, with applications in statistics and real-life scenarios.
Statistics: Covers advanced statistical methods, including measures of dispersion (variance, standard deviation) and probability distributions.
This syllabus is designed to provide a comprehensive understanding of advanced mathematical concepts, fostering analytical skills and problem-solving abilities essential for higher education and practical applications.
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