CBSE Class 12 Mathematics Subject-wise Material

Mathematics is a critical subject (no cap) for CBSE Class 12 students, especially for those pursuing careers in science, engineering, and commerce. The CBSE Class 12 Mathematics syllabus covers various branches of mathematics, emphasizing problem-solving, logical reasoning, and application. Below is a chapter-wise breakdown of the subject material to guide students in their preparation.

CBSE CLASS 12 MATHEMATICS

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CBSE Class 12 Maths Important Topics: Overview

Maths is so complex and there are no shortcuts to understand or learn it. Students, we get you and your scary thoughts regarding this subject. That’s why below we are providing you with the important topics which should be studied and practiced more, go through them:

1. Relations and Functions Class 12 Maths

The Chapter Relations and Functions 12 Class focuses on understanding relationships and mappings between elements of sets. Topics include:

• Types of Relations: Reflexive, symmetric, transitive, and equivalence relations.
• Types of Functions: One-one, onto, invertible, and composite functions.
• Binary Operations: Definitions and properties.

2. Inverse Trigonometric Functions Class 12 Maths

The chapter Inverse Trigonometric Funcions 12 Class introduces the inverse of trigonometric functions and their properties. Topics include:

• Principal Value Branch: Concept and calculation.
• Properties of Inverse Functions: Their relationships and applications.

3. Matrices Class 12 Maths

Matrices 12 Class are rectangular arrangements of numbers, forming the foundation of linear algebra. Topics include:

• Types of Matrices: Row, column, square, diagonal, scalar, and identity matrices.
• Matrix Operations: Addition, subtraction, multiplication, and scalar multiplication.
• Transpose and Symmetric Matrices: Definitions and properties.

4. Determinants Class 12 Maths

The chapter Determinants 12 Class deals with determinants and their applications. Topics include:

• Properties of Determinants: Linear properties, cofactor expansion.
• Applications: Solving linear equations using Cramer’s rule.

5. Continuity and Differentiability Class 12 Maths

The chapter Continuity and Differentiability 12 Class covers the fundamental concepts of calculus. Topics include:

• Continuity: Meaning and determination for a function.
• Differentiability: Differentiability implies continuity.
• Rules of Differentiation: Product rule, quotient rule, and chain rule.
• Derivatives of Functions: Exponential, logarithmic, and inverse trigonometric functions.
• Mean Value Theorem: Rolle’s theorem and Lagrange’s mean value theorem.

6. Application of Derivatives Class 12 Maths

The chapter Applications of Derivatives 12 Class highlights the real-life applications of derivatives. Topics include:

• Rate of Change: Finding the rate of change of quantities.
• Increasing and Decreasing Functions: Identifying intervals.
• Tangents and Normals: Equations and slopes.
• Maxima and Minima: Finding turning points of functions.

7. Integrals Class 12 Maths

Integral 12 Class calculus focuses on finding areas and solving differential equations. Topics include:

• Indefinite Integrals: Basic formulas and methods of integration.
• Definite Integrals: Properties and evaluation.
• Applications: Finding areas under curves.

8. Application of Integrals Class 12 Maths

The chapter Application of Integrals 12 Class discusses the geometric applications of integrals. Topics include:

• Areas Under Curves: Calculating regions bounded by graphs.
• Areas Between Curves: Methods of finding areas between intersecting curves.

9. Differential Equations Class 12 Maths

The chapter Differential Equations 12 Class introduces methods to solve differential equations. Topics include:

• Order and Degree: Understanding basic terms.
• Formation of Differential Equations: From given functions.
• Solution Methods: Variable separable, homogeneous, and linear differential equations.

10. Vector Algebra Class 12 Maths

Vector 12 Class algebra deals with quantities having magnitude and direction. Topics include:

• Vectors and Their Representation: Types and notations.
• Operations on Vectors: Addition, subtraction, dot product, and cross product.
• Applications: Finding angles and areas of parallelograms.

11. Three-Dimensional Geometry Class 12 Maths

The chapter Three-D Geometry 12 Class deals with spatial geometry. Topics include:

• Direction Cosines and Ratios: Basics of 3D geometry.
• Equations of Lines and Planes: In vector and Cartesian forms.
• Shortest Distance: Between skew lines.

12. Linear Programming Class 12 Maths

Linear 12 Class programming involves optimization techniques. Topics include:

• Linear Inequalities: Representing constraints graphically.
• Objective Function: Maximizing or minimizing a linear function.
• Feasible Regions: Finding optimal solutions graphically.

13. Probability Class 12 Maths

The chapter Probability 12 Class extends the concepts of probability. Topics include:

• Conditional Probability: Dependent events and Bayes' theorem.
• Random Variables and Probability Distributions: Expectation and variance.
• Binomial Distribution: Properties and applications.

CBSE Class 12 Maths Study Tips: Score 95+

By following the tips provided below and focusing on the subject-wise material outlined above, students can excel in CBSE Class 12 Mathematics and achieve their academic goals.

1. Master the Basics: Mathematics is a cumulative subject. Ensure a strong grasp of foundational concepts before moving to advanced topics. Topics like algebra and calculus form the base for most chapters.
2. Practice Regularly: Mathematics requires consistent practice. Dedicate daily time to solving problems. Begin with simple problems and gradually attempt higher-order questions.
3. Learn Formulas Thoroughly: Memorize all key formulas for each chapter. Create a formula sheet for quick reference and revise it daily.
4. Solve Previous Year Papers: Practicing past years question papers will give you a sense of the exam pattern and frequently asked questions. It will also help you manage time effectively during exams.
5. Work on Weak Areas: Identify chapters or topics where you face difficulties and allocate extra time to master them. Seek help from teachers or peers if needed.
6. Focus on Applications: Pay attention to chapters like linear programming and probability, which have practical applications. Understanding their real-world relevance can make learning easier and more interesting.
7. Revise Periodically: Periodic revision is crucial to retaining mathematical concepts. Revisit important topics and problem types weekly to ensure you don’t forget them.
8. Attempt Mock Tests: Sample papers 12 class Mock tests under timed conditions are essential for building speed and accuracy. Analyze your performance to identify areas for improvement.
9. Use Graphs and Diagrams: Chapters like linear programming and three-dimensional geometry require graphical solutions. Practice drawing neat and accurate graphs to avoid errors.
10. Stay Consistent: Mathematics requires discipline and consistency. Regular practice, combined with a positive attitude, can help you overcome challenges.

Maximize Your Efficiency with Subject-Wise Study Materials for CBSE Class 12 Mathematics:

• Saves Time: By using topic-based resources, students can focus their energy on mastering challenging chapters while quickly reviewing familiar ones.
• Helps in Conceptual Mastery: Breaking topics down helps in building a deep understanding of each concept.
• Progress Tracking: It’s easier to track progress and identify areas of weakness when studying subject-wise material.
• Targeted Practice Sessions: Direct access to chapter-specific questions ensures a more focused approach to practice.
• Reduces Overload: Focusing on smaller chunks prevents students from feeling mentally exhausted.

So, to conclude this really informative blog, would like to add that , guys, analyze for yourself how easy and simplified can your life be if you actually go through all the study material uploaded for you and take your studies seriously. Don’t stress much over things that can go away just by focusing and being determined that you can ace it. Happy learning!