.png)
.png)
CBSE Class 12 Math Roadmaps: Mind Maps for All Chapters
Welcome to our comprehensive guide for CBSE Class 12 Mathematics! In this blog post, we’ve created detailed mind maps for each of the 13 chapters in your syllabus. These visual roadmaps are designed to simplify complex topics, helping you understand key concepts, see how they connect, and study more efficiently. Whether you’re preparing for your board exams or tackling tricky chapters, these mind maps will be your go-to resource.
Each mind map breaks down a chapter into its core components, offering a clear path to follow. Start by reviewing the mind map for an overview, then dive into each topic, using it as a guide to structure your learning. Let’s explore all 13 chapters below!
Table of Contents
- 1. Relations and Functions
- 2. Inverse Trigonometric Functions
- 3. Matrices
- 4. Determinants
- 5. Continuity and Differentiability
- 6. Application of Derivatives
- 7. Integrals
- 8. Application of Integrals
- 9. Differential Equations
- 10. Vector Algebra
- 11. Three Dimensional Geometry
- 12. Linear Programming
- 13. Probability
1. Relations and Functions
Key topics covered in this chapter include:
- Types of relations: reflexive, symmetric, transitive, and equivalence relations
- Types of functions: one-one (injective), onto (surjective), and bijective functions
- Composition of functions and inverse of a function
2. Inverse Trigonometric Functions
Key topics covered in this chapter include:
- Definition, domain, range, and principal value branch
- Graphs of inverse trigonometric functions
- Properties and identities involving inverse trigonometric functions
3. Matrices
Key topics covered in this chapter include:
- Types of matrices: row, column, square, diagonal, scalar, identity, zero matrix
- Operations on matrices: addition, multiplication, transpose
- Inverse of a matrix and elementary operations
4. Determinants
Key topics covered in this chapter include:
- Determinants of square matrices
- Properties of determinants
- Minors, cofactors, adjoint, and inverse of a matrix
- Applications in solving systems of linear equations
5. Continuity and Differentiability
Key topics covered in this chapter include:
- Continuity of functions
- Differentiability and derivatives
- Derivatives of inverse functions, implicit functions, and parametric functions
- Higher-order derivatives
6. Application of Derivatives
Key topics covered in this chapter include:
- Rate of change of quantities
- Increasing and decreasing functions
- Tangents and normals
- Maxima and minima of functions
7. Integrals
Key topics covered in this chapter include:
- Indefinite integrals and their properties
- Methods of integration: substitution, partial fractions, by parts
- Definite integrals and their properties
- Fundamental Theorem of Calculus
8. Application of Integrals
Key topics covered in this chapter include:
- Area under simple curves
- Area between two curves
9. Differential Equations
Key topics covered in this chapter include:
- Order and degree of differential equations
- General and particular solutions
- Methods for solving first-order differential equations
- Linear differential equations
10. Vector Algebra
Key topics covered in this chapter include:
- Vectors and scalars
- Addition of vectors, multiplication by a scalar
- Dot product and cross product
- Scalar triple product
11. Three Dimensional Geometry
Key topics covered in this chapter include:
- Direction cosines and direction ratios
- Equations of lines and planes in space
- Angle between lines, planes, etc.
- Distance between points, lines, and planes
12. Linear Programming
Key topics covered in this chapter include:
- Formulation of linear programming problems
- Graphical method for solving LPP
- Different types of LPP solutions
13. Probability
Key topics covered in this chapter include:
- Conditional probability and multiplication theorem
- Independent events
- Bayes' theorem
- Random variables and probability distributions
