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

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