CBSE Class 11 Mathematics Syllabus 2024-25

CBSE Class 11 Mathematics Syllabus 2024-25

The CBSE Class 11 Mathematics syllabus for the 2024-25 session is designed to lay a strong foundation for higher studies in mathematics and related fields. The curriculum is comprehensive, covering key areas such as Sets and Functions, Coordinate Geometry, Statistics and Probability, and Calculus. These topics will help students understand mathematical concepts, improve problem-solving skills, and prepare effectively for exams. Students must follow the updated CBSE syllabus to ensure they are aligned with the official curriculum. With the most recent syllabus, students can focus on important topics, manage their study time effectively, and prepare for their exams with confidence using myCBSEGuide App.

Key Topics in the CBSE Class 11 Mathematics Syllabus:

1. Sets and Functions
   This section introduces students to the fundamental concepts of sets, types of sets, operations on sets, and functions. Students will learn about different types of functions, their domain and range, and the concept of inverse functions.
2. Coordinate Geometry
   In this unit, students will explore the Cartesian plane, distance formula, section formula, and the concept of a straight line. The focus will be on understanding geometric properties through algebraic methods, a critical skill for solving problems in geometry.
3. Statistics and Probability
   The statistics section includes topics such as measures of central tendency (mean, median, mode) and the concept of variance and standard deviation. In probability, students will learn about basic probability concepts, random experiments, and events, which are vital for solving practical problems.
4. Calculus
   Calculus is a core component of the syllabus, introducing students to limits and derivatives. This unit emphasizes understanding rates of change and the basic rules of differentiation. Derivatives have wide applications in various scientific and engineering fields, making it essential for future studies.

Tips for Preparing for CBSE Class 11 Mathematics Exam:

• Understand the Core Concepts
  Mathematics is all about understanding concepts and their applications. Focus on building a strong foundation in fundamental topics such as functions, geometry, and calculus.
• Practice Regularly
  Mathematics requires continuous practice. Solve a variety of problems from each chapter to strengthen your understanding and improve speed and accuracy in problem-solving.
• Use Sample Papers for Practice
  Solving sample papers will help you get familiar with the exam pattern, time management, and question formats. Regular practice with model question papers is an effective way to prepare for exams.
• Refer to the Latest Syllabus and Study Material
  Ensure that your study material is up-to-date and aligned with the latest CBSE syllabus. This will help you cover all necessary topics and stay prepared for the exam.

Resources for Effective Exam Preparation

For effective and organized preparation, students can use digital platforms that provide access to the latest syllabus, sample papers, and chapter-wise test papers. These resources are designed to help students stay on track, focus on important topics, and enhance their problem-solving abilities.

By following a structured study plan and using the right resources, students can perform well in the CBSE Class 11 Mathematics exam and build a strong foundation for future mathematical studies. Download the syllabus from our website myCBSEguide now to start preparing and ensure success in your exams.

Class 11 Mathematics Mobile App

CBSE Class – 11
Mathematics (Code No. 041)
Syllabus (2024-25)

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One Paper
Total Period – 240 [35 Minutes each]
Three Hours
Max. Marks: 80

No.	Units	No. of Periods	Marks
I.	Sets and Functions	60	23
II.	Algebra	50	25
III.	Coordinate Geometry	50	12
IV.	Calculus	40	08
V.	Statistics and Probability	40	12
	Total	240	80
	Internal Assessment		20

*No chapter/unit-wise weightage. Care to be taken to cover all the chapters.

Unit-I: Sets and Functions

1. Sets (20 Periods)
   Sets and their representations, Empty set, Finite and Infinite sets, Equal sets, Subsets, Subsets of a set of real numbers especially intervals (with notations). Power set. Universal set. Venn diagrams. Union and Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.
2. Relations & Functions (20 Periods)
   Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Pictorial representation of a function, domain, co-domain and range of a function. Real valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs. Sum, difference, product and quotients of functions.
3. Trigonometric Functions (20 Periods)
   Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of the identity sin 2x + cos 2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Expressing sin (x ± y) and cos (x ± y) in terms of sin x, sin y, cos x & cos y and their simple applications. Deducing identities like the following:
   tan(x ± y) = xyxytan⁡x±tan⁡y1∓tan⁡xtan⁡y, cot (x ± y) = xyyxcot⁡xcot⁡y∓1cot⁡y±cot⁡x
   sinα⁡ ± sin⁡ β = 2 sin 12(α±β)cos⁡ 12(α∓β)
   cosα + cos⁡β = 2cos 12(α+β)cos 12(α−β)
   cos⁡α − cos⁡β = -2 sin 12(α+β)sin⁡ 12(α−β)
   Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.

Unit-II: Algebra

1. Complex Numbers and Quadratic Equations (10) Periods
   Need for complex numbers, especially −1, to be motivated by inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane
2. Linear Inequalities (10) Periods
   Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line.
3. Permutations and Combinations (10) Periods
   Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for ⁿP_r and ⁿC_r and their connections, simple applications.
4. Binomial Theorem (10) Periods
   Historical perspective, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.
5. Sequence and Series (10) Periods
   Sequence and Series. Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.

Unit-III: Coordinate Geometry

1. Straight Lines (15 Periods)
   Brief recall of two dimensional geometry from earlier classes. Slope of a line and angle between two lines. Various forms of equations of a line: parallel to axis, point-slope form, slope-intercept form, two-point form, intercept form, Distance of a point from a line.
2. Conic Sections (25 Periods)
   Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.
3. Introduction to Three-dimensional Geometry (10 Periods)
   Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.

Unit-IV: Calculus

1. Limits and Derivatives (40 Periods)
   Derivative introduced as rate of change both as that of distance function and geometrically. Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relate it to scope of tangent of the curve, derivative of sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Unit-V: Statistics and Probability

1. Statistics (20 Periods)
   Measures of Dispersion: Range, Mean deviation, variance and standard deviation of ungrouped/grouped data.
2. Probability (20 Periods)
   Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

MATHEMATICS
QUESTION PAPER DESIGN
CLASS – XI
(2024-25)

Time: 3 Hours

S.No.	Typology of Questions	Total Marks	% Weightage
1.	Remembering: Exhibit memory of previously learned material by recalling facts, terms, basic concepts, and answers.	44	55
	Understanding: Demonstrate understanding of facts and ideas by organizing, comparing, translating, interpreting, giving descriptions, and stating main ideas
2	Applying: Solve problems to new situations by applying acquired knowledge, facts, techniques and rules in a different way.	20	25
3	Analysing: Examine and break information into parts by identifying motives or causes. Make inferences and find evidence to support generalizations	16	20
	Evaluating: Present and defend opinions by making judgments about information, validity of ideas, or quality of work based on a set of criteria.
	Creating: Compile information together in a different way by combining elements in a new pattern or proposing alternative solutions
	Total	80	100

1. No chapter wise weightage. Care to be taken to cover all the chapters.
2. Suitable internal variations may be made for generating various templates keeping the overall weightage to different form of questions and typology of questions same.

Choice (s):
There will be no overall choice in the question paper.
However, 33% internal choices will be given in all the sections.

INTERNAL ASSESSMENT	20 MARKS
Periodic Tests (Best 2 out of 3 tests conducted)	10 Marks
Mathematics Activities	10 Marks

Note: Please refer the guidelines given under XII Mathematics Syllabus:
Prescribed Books:

1. Mathematics Textbook for Class XI, NCERT Publications
2. Mathematics Exemplar Problem for Class XI, Published by NCERT
3. Mathematics Lab Manual class XI, published by NCERT

CBSE Syllabus 2024-25

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How to Download the CBSE Class 11 Mathematics Syllabus 2024-25

To download the CBSE Class 11 Mathematics Syllabus from myCBSEguide, follow these steps:

1. Visit myCBSEguide website.
2. Use the search bar to find “Class 11 Mathematics Syllabus.”
3. Click on the relevant syllabus link for the 2024-25 session.
4. Download the syllabus in PDF format by clicking the download button.

Alternatively, install the myCBSEguide App from Google Play or the App Store, log in, and download the syllabus directly from the app.

Frequently Asked Question:

When will the CBSE 2025 syllabus be released?

The CBSE 2025 syllabus has already been released by the board. Students can now access the updated syllabus for all subjects, including the CBSE Class 11 Mathematics Syllabus 2024-25. This syllabus is available in PDF format, offering a convenient way for students to download and review the topics they need to focus on in preparation for their exams.

For those aiming to excel in their studies, it’s essential to stay informed and use reliable study resources. The myCBSEguide website provides the latest syllabus for all CBSE subjects, helping students stay aligned with the curriculum. The myCBSEguide App platform also offers a range of educational materials such as sample papers, chapter-wise test papers, NCERT solutions, and revision notes, all designed to streamline exam preparation.

Additionally, educators can take advantage of the Examin8 App and Examin8 Website to create customized mock tests and practice papers tailored to their students’ needs.