# CBSE Class 11 Mathematics Syllabus 2024-25

CBSE has released the Latest Updated Syllabus for the New Academic Session 2024-25 on March 23rd, 2024, for class 11.

CBSE Board has released the latest Class 11 Mathematics syllabus which is to be strictly followed. Below please find our detailed analysis of Board Paper pattern, Unit-wise summary for the New Session 2024-25.

We have also updated Oswal Publishers Books as per the Latest Paper Pattern prescribed by Board for Mathematics Curriculum.

Students can directly access the CBSE Mathematics Syllabus for Class 11 of the academic year 2024-25 by clicking on the link below.

PDF download links to the latest Class 11 Mathematics Syllabus for 2024-25 academic session

## CBSE Class 11 Mathematics Latest Syllabus 2024-25

 NO Units No. of Periods MARKS 1 Sets and Functions 60 23 2 Algebra 50 25 3 Coordinate Geometry 50 12 4 Calculus 40 08 5 Statistics and Probability 40 12 Total 240 80 Internal Assessment 20

## CBSE Class 11 Mathematics Syllabus 2024-25: Unit-wise Summary

### 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). 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 sin2x + cos2x = 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 sinx, siny, cosx & cosy and their simple applications. Deducing identities like the following:

$$\text{tan(x}\space\pm\space \text{y})=\frac{\text{tan x} \pm\text{tan y}}{1\mp\text{tanx tany}},\\\text{cot(x} \pm \text{y})=\frac{\text{cot x cot y}\mp 1}{\text{cot y} \pm \text{cot x}}\\\text{sinα}\pm\text{sin}\beta= 2 \text{sin}\frac{1}{2}(\alpha\pm\beta)\text{cos}\frac{1}{2}(\alpha\mp\beta)\\\text{cos} \alpha + \text{cos} \beta=2\text{cos}\frac{1}{2}(\alpha+\beta)\text{cos}\frac{1}{2}(\alpha-\beta)\\\text{cos}\alpha-\text{cos}\beta=-2\text{sin}\frac{1}{2}(\alpha+\beta)\text{sin}\frac{1}{2}(\alpha-\beta)$$

Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.

### Unit-II:

Algebra

1. Complex Numbers and Quadratic Equations

(10) Periods

Need for complex numbers, especially $$\sqrt{-1},$$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 nPr and nCr 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.

### 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.

## CBSE Class 11 Mathematics Standard Question Paper Design 2024-25

Time: 3 Hours

Max. Marks: 80

 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

## Internal Assessment

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

## The Changes for Class 11 (2024-25) Year-end Board Examinations are as under:

 (Class-11) Periodic Assessment Academic Session 2023-24 Academic Session 2024-25 Composition of question paper for year-end examination/ Board Examination (Theory) Competency Focused Questions in the form of MCQs/ Case Based Questions, Source-based Integrated Questions or any other type = 40% Select response type questions (MCQ) = 20% Constructed response questions (Short Answer Questions/Long Answer type Questions, as per existing pattern) = 40% Competency Focused Questions in the form of MCQs/ Case Based Questions, Source-based Integrated Questions or any other type = 50% Select response type questions (MCQ) = 20% Constructed response questions (Short Answer Questions/Long Answer type Questions, as per existing pattern) = 30%

## 2023-24 Reduced Syllabus

(for reference purposes only)