Preparing for Class 12 Mathematics for CBSE board exams requires a structured and focused approach. Start by thoroughly understanding the CBSE Class 12 Mathematics syllabus. This will help you identify the topics you need to cover. Develop a study schedule that covers all topics in the syllabus. Allocate more time to challenging topics and prioritize your weakest areas.
Chapters of Class 12 Maths
CBSE Class 12 Mathematics covers a wide range of topics, divided into two main parts: Part A and Part B. Here are the main topics you need to study in Class 12 Mathematics according to the CBSE syllabus:
Chapter 1 Relations and Functions: Types of relations, Types of functions and Inverse trigonometric functions.
Chapter 2 Inverse Trigonometric Functions: Properties of inverse trigonometric functions, Principal value branches and Graphs of inverse trigonometric functions.
Chapter 3 Matrices: Types of matrices, Operations on matrices, Transpose of a matrix, Determinants
Adjoint and inverse of a matrix, Application of matrices to solve linear equations.
Chapter 4 Determinants: Properties and evaluation of determinants and Area of a triangle using determinants.
Chapter 5 Continuity and Differentiability: Continuity of a function, Differentiability and its rules. Derivatives of composite functions, and Derivatives of implicit functions.
Chapter 6 Applications of Derivatives: Rate of change of quantities, Tangents and normal, Maxima and Minima.
Chapter 7 Integrals: Integration as an inverse process of differentiation, Methods of integration Definite integrals, Fundamental theorem of calculus, and Evaluation of definite integrals by substitution.
Chapter 8 Applications of Integrals: Area under simple curves, and Area between two curves.
Chapter 9 Differential Equations: Basic concepts and terminology, General and particular solutions
Methods of solving first-order, first-degree differential equations and Applications of differential equations.
Chapter 10 Vector Algebra: Vectors and scalars, Types of vectors, Addition of vectors, Product of vectors with Scalar and vector products.
Chapter 11 Three-Dimensional Geometry: Direction cosines and direction ratios, Distance between two points, Section formula, Equation of a line and plane in space, Angle between two lines and shortest distance between two lines.
Chapter 12 Linear Programming: Introduction to linear programming, Mathematical formulation of linear programming problems, Graphical method of solution and linear programming in two variables.
Chapter 13 Probability: Conditional probability, Multiplication theorem on probability, Bayes’ theorem, Random variables and probability distributions, and Binomial distribution.