CBSE Class 12 Commerce Maths Syllabus

The Class 12 CBSE Mathematics Syllabus has experienced changes from time to time in accordance with the growth of the subject and developing needs of society. Senior Secondary platform is a launching stage from where the students go either for higher academic education in Mathematics or for professional programs like Commerce or 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 way of motivation and visualization, of fundamental concepts, terminologies, principles, symbols and ability to bear processes and skills
  • To observe the flow of reasons while determining a result or working a problem.to apply the knowledge and skills gained to solve problems and wherever feasible, by more than one classification
  • 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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