MP Board Class 12 Mathematics Syllabus 2025-26
Muskan Verma29 May, 2025
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MP Board Class 12 Mathematics Syllabus, 2025-26 has been carefully designed by the Madhya Pradesh Board of Secondary Education (MPBSE) to provide students with a comprehensive understanding of advanced mathematical concepts. The MP Board Class 12 Mathematics Syllabus, 2025-26 focuses on developing analytical thinking, problem-solving skills, and logical reasoning abilities that are crucial for both academic and competitive examinations.
The MP Board Class 12 Mathematics Syllabus, 2025-26 is structured into 13 well-defined chapters, each building upon fundamental mathematical principles while introducing new, complex concepts. Below is a complete breakdown of the syllabus structure, including unit-wise topics, examination pattern, and preparation strategies.
MP Board Class 12 Mathematics Syllabus 2025-26 Overview
The syllabus aims to create a strong mathematical foundation while preparing students for higher education in engineering, medicine, commerce, and other fields.
| MP Board Class 12 Mathematics Syllabus | |
| Aspect | Details |
| Education Board | Madhya Pradesh Board of Secondary Education (MPBSE) |
| Class | 12th |
| Subject | Mathematics |
| Academic Year | 2025-26 |
| Total Marks | 100 (80 Theory + 20 Practical/Project) |
| Duration | 3 Hours |
| Medium | English/Hindi |
MP Board Class 12 Mathematics Syllabus 2025-26 Marks Distribution
The marks are distributed between theory and practical assessments to ensure a balanced evaluation of students' knowledge and application skills.
| MP Board Class 12 Mathematics Syllabus Marks Distribution | |
| Component | Marks |
| Theory | 80 |
| Practical/Project | 20 |
| Total | 100 |
MP Board Class 12 Mathematics Syllabus
2025-26
Chapter-wise Breakdown of MP Board Class 12 Mathematics Syllabus 2025-26
The syllabus systematically progresses from basic to advanced mathematical concepts, ensuring a thorough understanding.
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
Why the MP Board Class 12 Mathematics Syllabus 2025-26 Matters?
The MP Board Class 12 Mathematics Syllabus, 2025-26 is critically important because:
- Foundation for Competitive Exams: Covers essential topics for JEE, NEET, and other entrance tests
- Real-world Applications: Concepts like calculus, probability, and linear programming have practical uses
- Develops Logical Thinking: Enhances problem-solving and analytical skills
- Comprehensive Coverage: Balanced mix of algebra, calculus, and geometry
- Preparation for Higher Education: Provides strong base for college-level mathematics
Preparation Tips for MP Board Class 12 Mathematics Syllabus 2025-26
Practical and actionable advice to help students navigate through the syllabus efficiently. These tips are designed to optimize study time and improve exam performance through smart preparation strategies.
- Master NCERT First: Thoroughly study the NCERT textbook before moving to reference books
- Regular Practice: Solve at least 20-30 problems daily from each chapter
- Formula Notebook: Maintain a separate notebook for important formulas and theorems
- Previous Years' Papers: Solve last 5 years' question papers to understand exam pattern
- Conceptual Clarity: Focus on understanding rather than rote learning
- Time Management: Practice solving papers within 3 hours to improve speed
- Doubt Clearing: Immediately clarify doubts with teachers or through online resources
The MP Board Class 12 Mathematics Syllabus, 2025-26 provides a robust framework for mathematical learning, perfectly balancing theoretical knowledge with practical applications. By following the syllabus diligently and implementing smart study strategies, students can not only excel in their board examinations but also build a strong foundation for future academic and professional pursuits.
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| Related Links | |
| Commerce Class 12 | Class 12 Accountancy |
| Class 12 Commerce Syllabus | Class 12 English |
| Class 12 Business Studies | Class 12 Economics |
MP Board Class 12 Mathematics Syllabus FAQs
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