MP Board Class 12 Maths Syllabus 2025-26, Check Key Topics and Weightage

The Madhya Pradesh Board of Secondary Education (MPBSE) prescribed the MP Board Class 12 Maths Syllabus 2025-26 to ensure that students have a thorough understanding of advanced mathematical concepts. The MPBSE Class 12 Mathematics Syllabus for 2025-26 focuses on improving analytical thinking, problem-solving capabilities, and logical reasoning abilities, all of which are required for both academic and competitive exams. For the convenience of the students, we have shared a detailed overview of the MP Board Class 12th Maths Syllabus structure on this page.

Syllabus of Class 12 Mathematics & Marking Scheme

The MP Board Class 12 Mathematics Syllabus for 2025-26 is divided into 13 well-defined chapters that build on core mathematical ideas while introducing new, complicated concepts. The Mathematics syllabus consists of 13 chapters which carry different weightage as follows

Chapter Name Marks
Relations and Functions 5
Inverse Trigonometric Functions 6
Matrices 6
Determinant 6
Continuity and Differentiability 8
Applications of Derivatives 6
Integration 12
Applications of integrals 3
Differential Equations 6
Vector Algebra 7
Three Dimensional Geometry 7
Linear Programming 4
Probability 5
Total 80

Chapter-wise MP Board Class 12 Mathematics Syllabus

The Class 12th Maths Syllabus MP Board systematically progresses from basic to advanced mathematical concepts, ensuring a thorough understanding. The MP Board Class 12 Maths Syllabus 2025-26 is divided into 13 well-defined chapters that build on core mathematical ideas while introducing new, complicated concepts.

Unit 1 Relations and Functions

  • Types of relations: Reflexive, symmetric, transitive
  • Types of functions: One-one, onto, bijective
  • Composition of functions
  • Invertible functions and their properties

Unit 2 Inverse Trigonometric Functions

  • Definition and principal values
  • Properties and graphs
  • Elementary properties of inverse trigonometric functions

Unit 3 Matrices

  • Order and types of matrices
  • Matrix operations: Addition, multiplication
  • Transpose of a matrix
  • Symmetric and skew-symmetric matrices
  • Inverse of a matrix

Unit 4 Determinants

  • Properties of determinants
  • Minors and cofactors
  • Area of triangles using determinants
  • Adjoint and inverse of matrix
  • Applications in solving linear equations

Unit 5 Continuity and Differentiability

  • Continuity of functions
  • Differentiability
  • Derivatives of composite functions (Chain Rule)
  • Derivatives of implicit functions
  • Logarithmic differentiation
  • Second order derivatives

Unit 6 Applications of Derivatives

  • Rate of change of quantities
  • Increasing and decreasing functions
  • Tangents and normals
  • Approximations
  • Maxima and minima (word problems)

Unit 7 Integrals

  • Integration as inverse of differentiation
  • Integration techniques
  • Integration by parts
  • Integration using partial fractions
  • Definite integrals and their properties

Unit 8 Applications of Integrals

  • Area under simple curves
  • Area between two curves

Unit 9 Differential Equations

  • Order and degree
  • General and particular solutions
  • Formation of differential equations
  • Solutions of first order differential equations

Unit 10 Vector Algebra

  • Types of vectors
  • Addition and subtraction
  • Scalar and vector products

Unit 11 Three-Dimensional Geometry

  • Direction cosines and ratios
  • Equation of lines and planes
  • Angle between lines and planes
  • Distance between two lines

Unit 12 Linear Programming

  • Problem formulation
  • Graphical method of solution
  • Different types of linear programming problems

Unit 13 Probability

  • Conditional probability
  • Multiplication theorem
  • Bayes’ theorem
  • Random variables and probability distributions
  • Mean and variance

MP Board Class 12 Maths Syllabus 2025-26, Check Key Topics and Weightage -_3.1

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