Math Syllabus Class 12 CBSE 2023-24, Chapter-Wise Weightage, Unit-Wise Blueprint

You have come to the correct place, if you are one of these candidates who are searching for the Math Syllabus Class 12 CBSE 2023–2024. Therefore, we are here to share the Central Board of Secondary Education’s (CBSE) 2023–24 Math Syllabus for Class 12. The syllabus of Math for both basic and applied math subjects has been made public by the board as the differences between Basic and Applied Math are not great.

Math Syllabus Class 12 CBSE 2023-24

Applied Math is an optional subject allowing students to select the subject of their choice and Basic Math is a required subject for all students. One of the key courses in the CBSE syllabus is math and it is also difficult for some students so the students need to prepare for the Math test carefully thus to achieve a good exam result.

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There are 100 total marks in the CBSE Basic Math Paper. Wherein the written test will carry 80 marks and the internal assessment will carry 20 marks. In this article, we are going to describe the whole syllabus of math in an easy way to understand. If you want to score high marks in math then please go through the syllabus carefully.

CBSE Class 12th Basic Math Syllabus 2023-24

Chapters Marks
Probability

 

 

08
Linear Programming

 

 

05
Vectors and Three-Dimensional Geometry

 

 

14
Calculus 35
Algebra 10
Relations and Functions 08
Internal Assessment 20
Total Marks  

100

 

 

CBSE 12th Basic Math Syllabus 2023-24 (Unit-Wise)

  1. Relations and Functions
    • Chapter 1: Relations and Functions: equivalency, transitive, symmetric, reflexive, and other types of relations are covered. both onto and one-to-one operations.
    • Chapter 2: Inverse trigonometric functions: this covers the graphs of the definition, range, domain, and principal value branch.
  2. Algebra
  • Chapter 1: Matrices: Concept, notation, order, equality, types of matrices, matrix transpose, symmetric and skew-symmetric matrices, zero and identity matrices. Addition, multiplication, and scalar multiplication are matrix operations. Fundamental properties of addition, multiplication, and scalar multiplication. The non-commutativity of matrix multiplication and the existence of non-zero matrices whose product is the zero matrix (limited to square matrices of order 2). Invertibility of the matrix and proof, if any, of the inverse’s uniqueness; in this scenario, every matrix has actual entries.
  • Chapter 2: Determinants: applications of determinants to calculate the area of a triangle, minors, co-factors, and determinants of a square matrix (up to 3 x 3 matrices). A square matrix’s inverse and adjoint. Using the inverse of a matrix, solve systems of linear equations in two or three variables (with a unique solution) to determine consistency, inconsistency, and the number of solutions.
Math Syllabus Class 12 CBSE
Math Syllabus Class 12 CBSE

 

  1. Calculus
  • Chapter 1: It covers continuity and differentiation, the chain rule, derivative of inverse trigonometric functions, derivative of implicit functions, and sin−1 𝑥, cos−1 𝑥, and tan−1 𝑥. idea of logarithmic and exponential functions. logarithmic and exponential function derivatives. derivative of functions given in parametric forms; logarithmic differentiation. derivatives of second order.
  • Chapter 2: Applications of Derivatives: Elevation/Descalation of Functions, Rate of Change of Bodies, Maximas and Minimas (Geometric Motivation of the First Derivative Test and Provability of the Second Derivative Test). Easy tasks (that demonstrate fundamental ideas and comprehension of the subject matter along with real-world scenarios).
  • Chapter 3: Integrals: Integration is the opposite process of differentiation. Integration of many functions through parts, partial fractions, and substitution Assessment of the following kinds of simple integrals and the difficulties that stem from them.
  • Chapter 4: Integrals’ Applications: This section covers the use of integrals to calculate the area under simple curves, including lines, circles, parabolas, and ellipses (only in standard form).
  • Chapter 5: Differential Equations, Order and degree, general and specific solutions to a differential equation are defined. Solution of homogeneous differential equations of first order and first degree; solution of differential equations by method of separation of variables.
  1. Vectors and Three-Dimensional Geometry
  • Chapter 1: Vectors: The magnitude and direction of a vector, along with scalars. vector’s direction cosines and direction ratios. vector types (equal, unit, zero, parallel, and collinear), vector components, vector addition, vector multiplication by a scalar, and vector position vector splitting a line segment in a certain ratio are among the vector types. The meaning, characteristics, and uses of the scalar (dot) and vector (cross) products of vectors are explained, along with their geometric interpretation.
  • Chapter 2: Direction cosines and direction ratios of a line connecting two points are covered. The shortest distance between two lines, skew lines, and the Cartesian and vector equation of a line. An angle formed by two lines.
  1. Linear Programming
  • Chapter 1: Linear Programming: The following topics are covered in the introduction to linear programming course: feasible and infeasible regions (bounded or unbounded), optimal feasible solutions (up to three non-trivial constraints), optimization, objective function, and graphical method of solving problems in two variables.
  1. Probability
  • Chapter 1: Probability includes the following topics: independent events, total probability, Bayes’ theorem, random variable and its probability distribution, mean of random variable, and conditional probability.

CBSE 12th Basic Math Syllabus 2023-24 Internal Assessment

Periodic Tests (Best 2 out of 3 tests conducted): Periodic Test is a Pen and Paper assessment.

 

10 Marks
Mathematics Activities: For activities, the NCERT Lab Manual may be referred.

 

10 Marks

 

 

CBSE 12th Applied Math Syllabus 2023-24 (Chapter-Wise)

Chapters Marks
Financial Mathematics

 

 

15
Index Numbers and Time-based data 06
Calculus

 

15
Linear Programming

 

 

08
Inferential Statistics

 

05
Algebra

 

 

10
Numbers, Quantification, and Numerical Applications 11
Probability Distributions 10
Internal Assessment 20
Total 100

 

CBSE 12th Applied Math Syllabus 2023-24 (Chapter-wise) 

  1. Numbers, Quantification, and Numerical Applications 
  • Numerical Problems: Solve real-life problems mathematically
  • Numerical Inequalities
  • Modulo Arithmetic
  • Congruence Modulo
  • Allegation and Mixture
  1. Algebra
  • Matrices and types of matrices
  • Algebra of Matrices
  • Determinants
  • The inverse of a matrix
  • Solving a system of simultaneous equations using the matrix method, Cramer’s rule
  • Equality of matrices, Transpose of a matrix, Symmetric and Skew symmetric matrix
  1. Linear Programming
  • Different kinds of linear programming problems;
  • Mathematical formulation of linear programming problems
  • The use of graphs to solve two-variable problems
  • Possible and Impossible Areas
  • Introduction and associated terminology
  • Feasible and infeasible solutions, optimum feasible solution
  1. Calculus
  • Higher Order Derivatives
  • Increasing /Decreasing Functions
  • Maxima and Minima
  • Indefinite Integrals as the family of curves
  • Definite Integrals as the area under the curve
  • Application of Derivatives
  • Marginal Cost and Marginal Revenue using derivatives
  • Application of Differential Equations
  • Application of Integration
  • Differential Equations
  • Formulating and Solving Differential Equations
  • Integration
  1. Inferential Statistics
  • T-test (one sample t-test and two independent groups t-test)
  • Parameter and Statistics and Statistical Interferences
  • Population and Sample
  1. Index Numbers and Time-based data
  • Methods of Measuring Trend
  • Time Series analysis for univariate data
  • Time Series
  • Components of Time SeriesTime Series analysis for univariate data
  • Secular Trend
  1. Financial Mathematics
  • Perpetuity, Sinking Funds
  • Linear Method of Depreciation
  • Calculation of EMI
  • Calculation of Returns, Nominal Rate of Return
  • Compound Annual Growth Rate
  1. Probability Distributions 
  • Probability Distribution
  • Variance
  • Binomial Distribution
  • Poison Distribution
  • Normal Distribution
  • Mathematical Expectation

CBSE Class 12 Applied Math Syllabus 2023-24 for Internal Assessment 

Project work 10 Marks
Practical work 10 Marks

 

FAQs Related to Math syllabus Class 12 CBSE 2023-24

Q1. What is the full form of CBSE?

Ans. The full form of CBSE is Central Board of Secondary Education.

Q2. Which is the optional subject in the Math syllabus of Class 12 CBSE 2023-24?

Ans. The optional subject for Math of Class 12 CBSE 2023-24 is Applied Math.

Q3. What is the number of chapters in the Math Class 12 CBSE 2023-24  syllabus?

Ans. There are 6 Units in basic math and 8 units in applied math.

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