 # CBSE Class 12 Commerce Maths Syllabus

There have been changes in the Class 12 CBSE mathematics syllabus from time to time in accordance with the growth of the subject and the developing needs of society. The senior secondary year is a launching stage from where the students either opt for higher academic education in mathematics or for professional programs in commerce, engineering, physical and bioscience, or computer applications.

## 3 Significant Objectives of CBSE Commerce Class 12 Mathematics

The comprehensive objectives of CBSE Class 12 mathematics are mentioned below:

• To gain knowledge and analytical understanding, especially by the way of motivation and visualisation of fundamental concepts, terminologies, principles, symbols, and the ability to bear processes and skills.
• To observe the flow of reasons while determining a result or working on a problem by applying the knowledge and skills gained to solve problems by more than one classification, wherever feasible.
• To promote a positive attitude to think, examine, and explain reasonably.

## CBSE Class 12 Commerce Mathematics Syllabus:

 Name of the Chapters Relations and Functions Introduction to Relations Introduction to Functions Problems on Functions Composition of Functions Binary Operations Inverse Trigonometric Functions Introduction: Inverse Trigonometry Properties of Inverse Trigonometry Matrices Introduction to Matrices Matrix Operations Transpose of A Matrix Elementary Operations Determinants Introduction to Determinants Properties of Determinants Properties and Applications of Determinants Minors and Co-factors Solving Simultaneous Equations Continuity and Differentiability Continuity Differentiability and Chain Rule Differentiation: Implicit Functions Differentiation of Exponential Functions Second Order Derivatives Logarithmic Functions Differentiation of Parametric Functions Mean Value Theorems Applications of Derivatives The rate of Change and Approximations Increasing and Decreasing Functions Tangents and Normals Maxima – Minima – I Derivative Test Maxima – Minima – II Derivative Test Integrals Introduction to Integration Problems on Definite Integrals Properties of Definite Integrals Evaluating Definite Integrals Limit of A Sum Integration by Parts Integration by Partial Fractions Integrals of Special Functions Integrals of Trigonometric Identities Integration by Substitution More Problems on Integration Applications of Integrals Area Between A Curve and A-Line Area Between Two Curves Differential Equations Intro: Differential Equations Variable Separable Form Homogenous Differential Equations Linear Differential Equations Vector Algebra Introduction to Vector Algebra Properties of Vectors Scalar Product of Two Vectors Cross Product Three Dimensional Geometry Introduction to 3-D Geometry Cartesian Equation of A-Line Skew Lines Equation of Plane Intercept Form and Family of Planes The distance of A Point From A Plane Linear Programming Introduction to Linear Programming Optimal Solution The solution of Linear Programming Problems Probability Introduction to Conditional Probability Independent Events Bayes’ Theorem Distribution of Random Variables Binomial Distribution Mean and Variance of A Random Variable