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The Mathematics syllabus (subject code 041) for Class 12 students in the academic session of 2023-2024 has been recently revealed by the Central Board of Secondary Education (CBSE). This syllabus is organized into six units, and the forthcoming theory exam is assigned a total weightage of 80 marks. Departing from the conventional chapter-wise mark distribution, the syllabus is designed to assess competencies, adopting a more comprehensive approach.

To support students on their preparation journey, we present an in-depth overview of the CBSE Class 12 Mathematics Syllabus for the academic year 2023-24. This resource is readily available for download in PDF format, facilitating easy access for students.

**Key Highlights of CBSE Class 12 Maths Syllabus 2023-24:**

**Here are the key highlights of the CBSE Class 12 Mathematics Syllabus for the academic session of 2023-2024:**

**Unit Structure:**

The syllabus is divided into six units, providing a structured approach to the curriculum.

**Total Marks:**

The upcoming theory exam carries a total weightage of 80 marks, emphasizing the significance of Mathematics in the Class 12 curriculum.

**Competency Evaluation:**

Unlike traditional chapter-wise mark allocation, the syllabus focuses on evaluating competencies, encouraging a more holistic understanding of mathematical concepts.

**Holistic Approach:**

The syllabus is designed to promote a comprehensive understanding of mathematical principles, ensuring students grasp the interconnectedness of various topics.

**Practical Applications:**

Mathematical concepts included in the syllabus have practical applications in fields such as physics, engineering, economics, and statistics, enhancing the real-world relevance of the curriculum.

**Balance of Topics:**

The syllabus covers a balanced distribution of topics across various mathematical domains, including algebra, calculus, vectors, three-dimensional geometry, linear programming, and probability.

**Weightage of Units:**

While the overall weightage is 80 marks, each unit may have a specific weightage, providing clarity on the importance of different sections of the syllabus.

**Adaptation to Contemporary Needs:**

The syllabus is periodically revised to align with contemporary educational needs and advancements in the field of mathematics, ensuring relevance and applicability.

**Accessible Resource:**

The detailed overview of the CBSE Class 12 Mathematics Syllabus for the academic year 2023-24 is available for convenient download in PDF format, facilitating easy access for students and educators.

**Foundation for Higher Education:**

The syllabus serves as a foundational guide for students intending to pursue higher education in diverse fields such as engineering, sciences, computer science, economics, and more.

**CBSE Class 12 Maths Syllabus 2023-24 Chapter-Wise Weightage**

The CBSE Class 12 Maths Syllabus 2023-24 is vast and challenging. It covers a broad variety of subjects and necessitates that students have a strong mathematical foundation. The course structure of the CBSE Class 12 Maths Syllabus 2023-24 is shown in the table below.

CBSE Class 12 Maths Syllabus 2023-24 Chapter-Wise Weightage | ||

No | Units | Marks |

I | Relations and Functions | 08 |

II | Algebra | 10 |

III | Calculus | 35 |

IV | Vectors and Three–Dimensional Geometry | 14 |

V | Linear Programming | 05 |

VI | Probability | 08 |

TOTAL | 80 | |

Internal Assessment | 20 |

**CBSE Class 12 Maths Syllabus 2023-24 Chapter-Wise Topics**

Students may get the most recent CBSE Class 12 Maths Syllabus 2023-24 by clicking on the link above. Going over the syllabus will help students understand the subjects they will be studying in Maths over the academic year. This CBSE Class 12 Maths Syllabus 2023-24 PDF will assist students in keeping track of the subjects studied so far and what remains to be covered.

CBSE Class 12 Maths Syllabus 2023-24 Chapter-Wise Topics | ||

S.No | Chapter Name | Topics |

1. | Relations and Functions | Types of relations: reflexive, symmetric, transitive and equivalence relations.
One-to-one and onto functions. |

2. | Inverse Trigonometric Functions | Definition, range, domain, principal value branch.
Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. |

3. | Matrices | Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices.
Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Commutativity of multiplication of matrices and the existence of non-zero matrices whose product is the zero matrices. Invertible matrices and proof of the uniqueness of inverse. |

4. | Determinants | Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix.
Consistency, inconsistency and number of solutions of a system of linear equations by examples, solving a system of linear equations in two or three variables using the inverse of a matrix. |

5. | Continuity and Differentiability | Continuity and differentiability, derivatives of inverse trigonometric functions, derivative of implicit functions, Concepts of exponential and logarithmic
functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation is a derivative of functions expressed in parametric forms. Second-order derivatives. |

6. | Application of Derivatives | Applications of derivatives: rate of change of bodies, increasing/decreasing functions.
Use of derivatives in maxima and minima. |

7. | Integrals | Integration is the inverse process of differentiation.
Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals. |

8. | Application of Integrals | Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form) |

9. | Differential Equations | Definition, order and degree, general and particular solutions of a differential equation.
Solution of differential equations by method of separation of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the given type. |

10. | Vector Algebra | Vectors and scalars, magnitude and direction of a vector, direction cosines and direction ratios of a vector.
Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors, scalar triple product of vectors. |

11. | Three Dimensional Geometry | Direction cosines and direction ratios of a line joining two points.
Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines, and Cartesian and vector equation of a plane. The angle between two lines. |

12. | Linear Programming | Introduction, related terminology such as constraints, objective function, optimization, and different types of linear programming problems.
The mathematical formulation of L.P. Problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints). |

13. | Probability | Conditional probability, multiplication theorem on probability
Independent events, total probability, Baye’s theorem, Random variable and its probability distribution, mean and variance of a random variable. |

**CBSE Class 12 Maths Syllabus 2023-24 Deleted Topics**

**CBSE Class 12 Maths Syllabus 2023-24 deleted topics are mentioned in the table below:**

CBSE Class 12 Maths Syllabus 2023-24 Deleted Topics | ||

UNIT NAME | CHAPTER NAME | DELETED TOPIC |

Relations and Functions | Relations and Functions | composite functions, the inverse of a function |

Relations and Functions | Inverse Trigonometric Functions | Elementary properties of inverse trigonometric functions |

Algebra | Matrices | Concept of elementary row and column
operations. |

Algebra | Determinants | properties of determinants |

Calculus | Continuity and Differentiability | derivative of a composite function
Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation |

Calculus | Applications of Derivatives | tangents and normals
use of derivatives in approximation |

Calculus | Integrals | Definite integrals as a limit of a sum, |

Calculus | Applications of the Integrals | The area between any of the two above-said curves |

Vectors and Three-Dimensional Geometry | Vectors | scalar triple product of vectors |

Vectors and Three-Dimensional Geometry | Three – dimensional Geometry | coplanar lines
Cartesian and vector equation of a plane. The angle between (i) two lines, (ii) two planes, (iii) a line and a plane.Distance of a the point from a plane |

Linear Programming | Linear Programming | different types
of linear programming (L.P.) problems the mathematical formulation of L.P. problems |

Probability | Probability | variance of random
variable |

You can also check the number of pages and the number of questions which have been deleted below:

Chapter |
Page No. |
Dropped Topics/Chapters |

Chapter 7: Integrals | 290–291
291–292 298–299 613–616 331–334 352–354 355 |
Points (xi)–(xiii) in the List of Derivatives
7.2.1 Geometrical Interpretation of Indefinite Integral 7.2.3 Comparison between Differentiation and Integration 7.6.3 Type of Integral 7.7.1 Definite Integral as the Limit of a Sum Ques. 19, 32, 40 and 44 Point 2 in the Summary (xiv) and (xv) in Some Standard Integrals |

Chapter 8: Application of Integrals | 363–365
366 366–372 373–376 377 |
8.2.1 The Area of the Region Bounded by a Curve and a Line
Ques. 3 and 6–11 in Exercise 8.1 8.3 Area between Two Curves Examples 11, 13 and 14 Ques. 2–3, 6–7, 8–15, 18– 19 (Miscellaneous Exercise) The last Two Points of the Summary |

Chapter 9: Differential Equations | 385–391
415–416 420–422 |
9.4 Formation of Differential Equations whose General Solution is Given
Example 25 Ques. 3, 5 and 15 (Miscellaneous Exercise), Point Six of the Summary |

Chapter 10: Vector Algebra | 616–619
619–622 |
10.7 Scalar Triple Product
10.7.1 Coplanarity of Three Vectors |

Chapter 11: Three-Dimensional Geometry | 465
469–471 477–478 479–497 497–499 500–501 502–503 |
11.2.1 Relation between the Direction Cosines of a Line
11.3.2 Equation of a Line Passing through Two Given Points, Ques. 8–9 (Exercise 11.2) 11.6 Plane 11.7 Coplanarity of Two Lines 11.8 Angle between Two Planes 11.9 Distance of a Point from a Line 11.10 Angle between a Line and a Plane Ques. 1, 2, 5, 7–8, 10–19, 21–23 (Miscellaneous Exercise) Summary Points 13, 20–24 Full Pages |

Chapter 12: Linear Programming | 514–527
528–529 |
12.3 Different Types of Linear Programming Problems \
Summary Points 2–9 |

Chapter 13: Probability | 557–558
558–559 559–564 565–571 572–578 579–581 583 585–586 |
13.6 Random Variables and Its Probability Distributions
Examples 22 and 23 13.6.1 Probability Distribution of a Random Variable 13.6.2 Mean of Random Variables 13.6.3 Variance of a Random Variable 13.7 Bernoulli Trials and Binomial Distribution Example 34 and 35 Ques. 5–7, 9–11 (Miscellaneous Exercise) Last 3 Points of the Summary |

Answers | 594,596–599, 601, 604–612 | Answers of Exercises |

**CBSE Class 12 Maths Syllabus 2023-24 Internal Assessment**

**The CBSE Class 12 Applied Maths Syllabus 2023-24 for Internal Assessment may be seen in the table below:**

CBSE Class 12 Applied Maths Syllabus 2023-24 for Internal Assessment |
|||

Sl. No | Area and Weightage | Assessment Area | Marks allocated |

1. | Project work (10 marks) | Project work and record | 5 |

Year-end Presentation/ Viva of the Project | 5 | ||

2. | Practical work (10 marks) | Performance of practical and record | 5 |

Year-end test of any one practical | 5 | ||

Total Marks | 20 |

**How to Download CBSE Class 12th Mathematics Syllabus 2023-2024?**

Follow the below-mentioned steps to download the CBSE Class 12 Mathematics Syllabus 2024:

- Visit the official website – cbseresults.nic.in.
- Click on the CBSE 12th Blueprint 2024 list.
- Enter the relevant information such as the exam syllabus and click on the subject PDF.
- Then click on the submit button.
- The CBSE Class 12 Mathematics Syllabus 2024 will begin to download and display on the screen.
- Take a print of the CBSE Class 12 Mathematics Syllabus for future reference.

**Importance of CBSE Class 12 Mathematics Syllabus 2024**

The Central Board of Secondary Education (CBSE) Class 12 Mathematics syllabus is a comprehensive framework that shapes the academic journey of students in their final year of secondary education. As students delve into the intricate world of mathematical concepts, it becomes imperative to understand the importance of this syllabus. In this blog post, we explore the significance of the CBSE Class 12 Mathematics syllabus and how it serves as a foundational guide for students.

**Foundation for Higher Education:**

The CBSE Class 12 Mathematics syllabus serves as a crucial foundation for students pursuing higher education in fields such as engineering, sciences, computer science, economics, and more. The syllabus covers a wide array of mathematical concepts and problem-solving skills that are fundamental for success in various undergraduate courses.

**Real-life Applications:**

Mathematics is not confined to textbooks; it permeates every aspect of our daily lives. The Class 12 Mathematics syllabus is designed to include topics that have practical applications in fields like physics, engineering, economics, and statistics. This practical knowledge equips students with the ability to apply mathematical principles to real-world scenarios.

**Problem-solving and Analytical Skills:**

The syllabus emphasizes the development of problem-solving and analytical skills. By tackling complex mathematical problems, students hone their critical thinking abilities, learn to approach challenges systematically and develop a logical mindset. These skills are not only valuable in academics but also in professional and personal life.

**Versatility in Career Choices:**

Mathematics is a versatile subject that opens doors to a myriad of career options. The Class 12 syllabus ensures that students acquire a diverse skill set, making them well-suited for careers in pure mathematics, applied mathematics, data science, cryptography, actuarial science, and more. It provides the flexibility to explore diverse paths based on individual interests and aptitudes.

**Competitive Examinations:**

For students aspiring to pursue careers in competitive examinations such as engineering (JEE Main and Advanced), the Class 12 Mathematics syllabus acts as a crucial preparatory ground. A strong foundation in the syllabus not only aids in performing well in these exams but also instills the confidence needed to tackle challenging questions.

**Overall Cognitive Development:**

Mathematics is known to enhance cognitive skills such as logical reasoning, pattern recognition, and attention to detail. The Class 12 syllabus is meticulously designed to promote a holistic development of these cognitive abilities, contributing to the overall intellectual growth of students.

**CBSE Class 12 Mathematics Preparation Tips 2024**

As CBSE Class 12 students gear up for their Mathematics examination in 2024, it’s essential to approach the subject with a well-thought-out strategy. Mathematics at this level demands both understanding and practice. In this blog post, we’ll explore some effective preparation tips to help students excel in CBSE Class 12 Mathematics in 2024.

**Understand the Syllabus Thoroughly:**

Begin your preparation by thoroughly understanding the CBSE Class 12 Mathematics syllabus. Identify the weightage of each unit and prioritize topics accordingly. This will help you allocate your time efficiently and focus on areas that carry more marks.

**Create a Realistic Study Schedule:**

Develop a realistic and well-structured study schedule. Allocate specific time slots for each topic, ensuring that you cover the entire syllabus well before the exam. Consistency is key, so adhere to your schedule diligently.

### Master the Basics:

Before diving into complex problems, ensure you have a strong grasp of the fundamental concepts. CBSE Class 12 Mathematics builds upon the basics learned in earlier classes, so a solid foundation is crucial. Brush up on Class 11 concepts if needed before moving on to Class 12 topics.

**Use NCERT Textbooks:**

NCERT textbooks are the backbone of CBSE Mathematics preparation. Ensure you not only read them but understand the concepts thoroughly. Solve the examples and exercises provided in the textbooks as they align closely with the CBSE exam pattern.

**Practice Regularly:**

Mathematics is a subject that demands practice. Dedicate a significant portion of your study time to solving problems. Practice different types of questions to develop a diverse skill set. Previous years’ question papers and sample papers are excellent resources for practice.

**Seek Clarifications:**

Don’t hesitate to seek clarification if you encounter difficulties. Whether it’s from your teacher, classmates, or online resources, understanding concepts completely is crucial. Unresolved doubts can become stumbling blocks during the exam.

**Make Formula Sheets:**

Create concise formula sheets for quick revision. Having all the important formulas in one place will save time during revision and help reinforce your memory.

**Focus on Time Management:**

Time management is critical during the exam. Practice solving problems within the allocated time to enhance your speed and accuracy. This is particularly important for lengthy sections like Integration and Differential Equations.

**Revision is Key:**

As the exam approaches, allocate dedicated time for revision. Review your notes, and formula sheets, and solve additional problems. Revision ensures that you retain the information and are well-prepared for the exam day.

**Take Mock Tests:**

Simulate exam conditions by taking mock tests. This helps you get accustomed to the exam pattern, improves time management skills, and boosts your confidence. Analyze your performance in mock tests to identify areas that need further attention.

**Conclusion**

Success in CBSE Class 12 Mathematics requires a combination of understanding, practice, and a strategic approach. By following these preparation tips, students can navigate the complexities of the syllabus and approach the exam with confidence. Remember, consistent effort and a positive mindset are key ingredients for success. Best of luck!

**Frequently Asked Questions about CBSE Class 12 Mathematics Syllabus**

**Q1: What is the CBSE Class 12 Mathematics syllabus for 2024?**

The CBSE Class 12 Mathematics syllabus for 2024 includes units such as Relations and Functions, Algebra, Calculus, Vectors and Three-Dimensional Geometry, Linear Programming, and Probability. The syllabus is available on the official CBSE website and includes a detailed breakdown of topics within each unit.

**Q2: How can I effectively manage my time while preparing for CBSE Class 12 Mathematics?**

Time management is crucial for Mathematics preparation. Create a realistic study schedule, allocate specific time slots for each topic, and prioritize based on the weightage of each unit. Regularly practice solving problems to improve speed and accuracy.

**Q3: Are NCERT textbooks sufficient for CBSE Class 12 Mathematics preparation?**

Yes, NCERT textbooks are essential for CBSE Class 12 Mathematics preparation. They cover the entire syllabus and provide a strong foundation for understanding concepts. However, students are encouraged to supplement their study material with additional resources for a more comprehensive preparation.

**Q4: How can I strengthen my understanding of complex mathematical concepts?**

To strengthen your understanding of complex concepts, focus on mastering the basics first. Use reference books, online resources, and seek clarification from teachers or peers. Regular practice and solving a variety of problems will enhance your grasp of intricate mathematical concepts.

**Q5: What are some effective revision strategies for CBSE Class 12 Mathematics?**

Create concise formula sheets for quick revision. Allocate dedicated time for revision before the exams, focusing on solving problems, reviewing notes, and going through important formulas. Taking mock tests under timed conditions is also an excellent revision strategy.

**Q6: Is it necessary to solve previous years’ question papers?**

Yes, solving previous years’ question papers is highly recommended. It familiarizes you with the exam pattern, helps you understand the types of questions asked, and provides insight into the marking scheme. It is an essential part of exam preparation.

**Q7: How can I overcome exam anxiety before the CBSE Class 12 Mathematics exam?**

Practice relaxation techniques, maintain a positive mindset, and ensure you have a thorough understanding of the syllabus. Regular revision and solving mock tests will boost your confidence. Remember to take breaks during study sessions to avoid burnout.

**Q8: Are there any specific strategies for scoring well in the board exam?**

Focus on understanding the concepts thoroughly, practice regularly, and manage your time effectively during the exam. Pay attention to the presentation and ensure your answers are clear and well-structured. Additionally, review your paper before submitting it to catch any errors.

**Q9: Can I find additional resources online for CBSE Class 12 Mathematics preparation?**

Yes, numerous online platforms are offering additional study material, video lectures, and practice questions for CBSE Class 12 Mathematics. However, ensure that the resources align with the CBSE syllabus and are from reputable sources.

**Q10: How can I stay motivated during the preparation for CBSE Class 12 Mathematics?**

Set realistic goals, break down your study sessions into manageable chunks, and celebrate small achievements. Surround yourself with a positive study environment, and take breaks to avoid burnout. Stay focused on your long-term goals to maintain motivation throughout the preparation process.

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