Download CBSE Class 12 Maths Syllabus 2024-25 Free
The Central Board of Secondary Education (CBSE) has recently released the CBSE Class 12 Maths Syllabus for students in the Science stream for the academic session 2024-2025. This curriculum is meticulously crafted to prioritize the fundamental conceptual understanding of Mathematics.
It emphasizes the use of Relations and Functions, SI units, symbols, and Probability. The syllabus also ensures a logical sequencing of units, facilitating better comprehension and linkage of concepts for enhanced learning.
The syllabus encompasses various aspects such as the course structure, content, typology of questions, and more. Students can access the complete details of the syllabus and download the CBSE Class 12 Maths Syllabus 2024-25 PDF from this article.
Objectives of CBSE Class 12 Maths Syllabus
The broad objectives of teaching CBSE Class 12 Maths Syllabus at the senior school stage aim to help students:
- Acquire knowledge and critical understanding of basic concepts, terms, principles, symbols, and mastery of underlying processes and skills, with a focus on motivation and visualization.
- Develop the ability to follow logical reasoning while proving a result or solving a problem.
- Apply acquired knowledge and skills to solve problems, using multiple methods whenever possible.
- Foster a positive attitude towards thinking, analyzing, and articulating ideas logically.
- Cultivate interest in Mathematics by participating in related competitions.
- Familiarize students with different aspects of Mathematics used in daily life, highlighting its practical relevance.
- Stimulate interest in studying Mathematics as a discipline, encouraging further exploration and learning.
- Foster awareness of the need for national integration, environmental protection, adherence to small family norms, and the elimination of social barriers and gender biases.
- Develop reverence and respect towards great Mathematicians for their significant contributions to the field of Mathematics.
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CBSE Class 12 Maths Syllabus 2024-25 Chapter-Wise Topics
The CBSE Class 12 Maths Syllabus has evolved over time to align with the growth of the subject and the changing needs of society. The Senior Secondary stage serves as a launching pad for students, leading them towards higher academic pursuits in Mathematics or professional courses such as Engineering, Physical and Biological sciences, Commerce, or Computer Applications.
The current revised syllabus has been developed in accordance with the National Curriculum Framework 2005 and the guidelines outlined in the Focus Group on Teaching of Mathematics 2005. The aim is to cater to the diverse needs of all categories of students.
One of the key features of the revised CBSE Class 12 Maths Syllabus is the integration of real-life situations and connections with other subject areas. There is a greater emphasis on the application of various mathematical concepts, motivating students by demonstrating the relevance of mathematics in practical scenarios and across different disciplines.
| Chapter | Important Points to Study |
|---|---|
| Chapter 1: Relations and Functions | Types of relations and functions – Composition of functions – Inverse of a function – Binary operations – Types of functions (one-to-one, onto) – Graphs of functions |
| Chapter 2: Inverse Trigonometric Functions | Definitions and properties of inverse trigonometric functions – Graphs of inverse trigonometric functions – Principal value branch – Applications of inverse trigonometric functions |
| Chapter 3: Matrices | Types of matrices (row matrix, column matrix, square matrix, etc.) – Operations on matrices (addition, subtraction, multiplication) – Properties of matrices – Determinants |
| Chapter 4: Determinants | Properties of determinants – Cramer’s rule – Applications of determinants |
| Chapter 5: Continuity and Differentiability | Continuity and differentiability of functions – Derivatives of composite functions, implicit functions, and parametric functions – Rolle’s theorem and Mean Value theorem |
| Chapter 6: Application of Derivatives | Rate of change of quantities – Increasing and decreasing functions – Maxima and minima – Tangents and normals – Approximations using differentials |
| Chapter 7: Integrals | Integration as an inverse process of differentiation – Methods of integration (substitution, partial fractions, integration by parts) – Definite integrals and properties |
| Chapter 8: Application of Integrals | Area under simple curves – Area between two curves – Volume and surface area of solids of revolution – Length of a curve |
| Chapter 9: Differential Equations | Formation of differential equations – Solutions of differential equations – Methods of solving first-order, first-degree differential equations |
| Chapter 10: Vector Algebra | Vectors and scalars – Addition and subtraction of vectors – Scalar and vector products – Scalar triple product and vector triple product |
| Chapter 11: Three Dimensional Geometry | Direction cosines and direction ratios – Cartesian equation of a line and plane – Distance between two points, distance of a point from a line and a plane – Angle between two lines |
| Chapter 12: Linear Programming | Introduction to linear programming problems – Formulation of linear programming problems – Graphical method of solving linear programming problems |
| Chapter 13: Probability | Probability of an event – Mutually exclusive events – Independent and dependent events – Conditional probability – Bayes’ theorem |
| Chapter 14: Mathematical Reasoning | Statements, logical operations – Implications, converse, inverse, and contrapositive – Validating statements using various logical operations |
| Chapter 15: Statistics | Measures of dispersion (mean deviation, variance, standard deviation) – Mean, median, and mode of grouped and ungrouped data – Correlation and regression |
| Chapter 16: Probability Distributions | Random experiments, outcomes, and events – Probability distributions (binomial, Poisson, and normal distributions) – Mean and variance of random variables |
Download CBSE Class 12 Maths Syllabus
Prescribed Books for CBSE Class 12 Maths
These books are likely part of the standard resources recommended by educational institutions following the NCERT curriculum in India. They aim to provide a comprehensive and structured approach to learning Mathematics at the high school level. Here’s some general information about each of the prescribed books:
- Mathematics Textbook for Class XI, NCERT Publications: This textbook is designed according to the curriculum set by the National Council of Educational Research and Training (NCERT) for Class XI students studying Mathematics. It covers topics such as sets, relations and functions, trigonometric functions, algebra, coordinate geometry, calculus, and more.
- Mathematics Part I – Textbook for Class XII, NCERT Publication: This book is the first part of the Mathematics textbook series designed for Class XII students following the NCERT curriculum. It covers topics such as relations and functions, algebra, calculus, and introductory topics in probability.
- Mathematics Part II – Textbook for Class XII, NCERT Publication: This is the second part of the Mathematics textbook series for Class XII students, following the NCERT curriculum. It delves deeper into topics like algebra, calculus, probability, and differential equations.
- Mathematics Exemplar Problem for Class XI, Published by NCERT: Exemplar problems are supplementary materials designed to provide additional practice and enhance understanding of concepts. This book contains a collection of challenging problems for Class XI students studying Mathematics.
- Mathematics Exemplar Problem for Class XII, Published by NCERT: Similar to the Class XI exemplar, this book contains a series of challenging problems tailored for Class XII students studying Mathematics, providing them with opportunities to deepen their understanding and practice problem-solving skills.
- Mathematics Lab Manual class XI, published by NCERT: This lab manual is designed to accompany the Mathematics curriculum for Class XI students. It likely contains a variety of hands-on activities, experiments, and exercises aimed at reinforcing concepts taught in the classroom through practical applications.
- Mathematics Lab Manual class XII, published by NCERT: Like the Class XI manual, this lab manual is designed to accompany the Mathematics curriculum for Class XII students. It provides practical exercises and activities to reinforce concepts learned in the classroom and deepen understanding through hands-on experimentation.