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The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject and emerging needs of society. Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Bio-science, Commerce or Computer Applications.
The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines are given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real-life situations and other subject areas, greater emphasis has been laid on the application of various concepts.
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CBSE Mathematics Class 11 Syllabus 2023
Updated Syllabus of CBSE Mathematics Class 11 Syllabus 2023 – And, the Marks weightage and no.of periods were also mentioned below for the candidates.
No | Units | No. of Periods | Marks |
I. | Sets and Functions | 43 | 23 |
II | Algebra | 41 | 30 |
III. | Coordinate Geometry | 33 | 10 |
IV. | Calculus | 30 | 07 |
V. | Statistics and Probability | 21 | 10 |
Total | 168 | 80 | |
Internal Assessment | 20 |
Maths CBSE Class 11 Syllabus 2023
Unit-I: Sets and Functions
- Sets
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.
- Relations & Functions
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 ( R x R only).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.
- Trigonometric Functions
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:
tan(x ± y) = tan x ± tan y / 1 ∓ tan x tan y , cot(x ± y) = cot x cot y ∓ 1 / cot y ± cot x
sinα ± sinβ = 2sin 1/2 (α ± β) cos 1/2 (α ∓ β)
cosα + cosβ = 2cos 1/2 (α + β) cos 1/2 (α − β)
𝑐𝑜𝑠𝛼 − 𝑐𝑜𝑠𝛽 = −2𝑠𝑖𝑛 1/2 (𝛼 + 𝛽)𝑠𝑖𝑛 1/2 (𝛼 − 𝛽)
Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x, and tan3x.
Unit-II: Algebra
- Complex Numbers and Quadratic Equations
Need for complex numbers, especially√−1, to be motivated by inability to solve some of the
quardratic equations. Algebraic properties of complex numbers. Argand plane. Statement of
Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the
complex number system.
- Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation
on the number line. Graphical solution of linear inequalities in two variables. Graphical method of
finding a solution of a system of linear inequalities in two variables.
- Permutations and Combinations
A fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula
for nPr and nCr, simple applications.
- Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric
Progression (G.P.), general term of a G.P., a sum of n terms of a G.P., infinite G.P. and its sum,
geometric mean (G.M.), the relation between A.M. and G.M.
Unit-III: Coordinate Geometry
- Straight Lines
Brief recall of two-dimensional geometry from earlier classes. The slope of a line and angle between
two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept
form, two-point form, intercept form, and normal form. General equation of a line. The distance of a point from a line.
- Conic Sections
Sections of a cone: circles, ellipse, parabola, hyperbola. Standard equations and simple properties
of parabola, ellipse, and hyperbola. Standard equation of a circle.
- Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance
between two points and section formula.
Unit-IV: Calculus
- Limits and Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. The intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions. Definition of derivative relates it to the slope of the tangent of the curve, a derivative of sum, difference, product, and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit-V: Statistics and Probability
- Statistics
Measures of Dispersion: Range, Mean deviation, variance, and standard deviation of
ungrouped/grouped data.
- Probability
Random experiments; outcomes, sample spaces (set representation). Events; an occurrence of
events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an
the event, probability of ‘not’, ‘and’ and ‘or’ events.
Download CBSE Mathematics Class 11 Syllabus 2023
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CBSE Mathematics Class 11 Syllabus 2023-20
Unit | No. of Periods | Marks |
Unit – I: Sets and Functions | 60 | 29 Marks |
Unit – II: Algebra | 70 | 37 Marks |
Unit – III: Co-ordinate Geometry | 40 | 13 Marks |
Unit – IV: Calculus | 30 | 06 Marks |
Unit – V: Mathematical Reasoning | 10 | 03 Marks |
Unit – VI: Statistics and Probability | 30 | 12 Marks |
Total | 240 | 100 Marks |
Maths CBSE Class 11 Syllabus 2018 – 2019
Unit – I: Sets and Functions
- Sets
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. The difference between sets. The complement of a set. Properties of Complement. - Relations & Functions
Ordered pairs. Cartesian product of sets. A 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. - Trigonometric Functions
CBSE Mathematics Class 11 Syllabus: 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 the unit circle. Truth of the identity sin^{2}x + cos^{2}x = 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:
Identities related to sin2x, cos2x, tan2x, sin3x, cos3x, and tan3x. The general solution of trigonometric equations of the type sin y = sin a cos y = cos a and tan y = tan a.
Unit – II: Algebra
- Principle of Mathematical Induction
Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications. - Complex Numbers and Quadratic Equations
Need for complex numbers, especially, to be motivated by an inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system. The square root of a complex number. - Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical method of finding a solution of a system of linear inequalities in two variables. - Permutations and Combinations
The fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of formulae for n_{pr}and n_{cr} and their connections, simple applications. - Binomial Theorem
History, statement, and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications. - Sequence and Series
Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M. Formulae for the following special sums.
Unit – III: Coordinate Geometry
- Straight Lines
Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. The slope of a line and angle between two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. The distance of a point from a line. - Conic Sections
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. - Introduction to Three-dimensional Geometry
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula.
Unit – IV: Calculus
- Limits and Derivatives
Derivative introduced as a rate of change both as that of distance function and geometrically. The intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential, and logarithmic functions. Definition of derivative relates it to the scope of the tangent of the curve, a derivative of the sum, difference, product, and quotient of functions. Derivatives of polynomial and trigonometric functions.
Unit – V: Mathematical Reasoning
- Mathematical Reasoning
Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through a variety of examples related to real life and Mathematics. Validating the statements involving the connecting words, the difference among contradiction, converse, and contrapositive.
Unit – VI: Statistics and Probability
- Statistics
Measures of Dispersion: Range, Mean deviation, variance, and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances. - Probability
Random experiments; outcomes, sample spaces (set representation). Events; the 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.
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CBSE Mathematics Class 11 Syllabus Objectives
The broad objectives of teaching Mathematics at the senior school stage intend to help the students:
- To feel the flow of reasons while proving a result or solving a problem.
- To apply the knowledge and skills acquired to solve problems and wherever possible, by more than one method.
- To acquaint students with different aspects of Mathematics used in daily life.
- To acquire knowledge and critical understanding, particularly by way of motivation and visualization, of basic concepts, terms, principles, symbols, and mastery of underlying processes and skills.
- To develop an interest in students to study Mathematics as a discipline.
- To develop an awareness of the need for national integration, protection of the environment, observance of small family norms, removal of social barriers, elimination of gender biases.
- To develop a positive attitude to think, analyze and articulate logically.
- To develop an interest in the subject by participating in related competitions.
- To develop reverence and respect towards great Mathematicians for their contributions to the field of Mathematics.
Students need not have to worry about the Exam syllabus. As we have provided about CBSE Mathematics Class 11 Syllabus 2023 in this article. Once, check it and immediately start the preparation. Also, keep following us for such Updates, and Do not forget to share this article with your friends. So, they may also know about CBSE Mathematics Class 11 Syllabus 2020-21 – Language Paper and they may also start preparing for the Exams. The curriculum for March 2019 exams is designed by CBSE, New Delhi as per NCERT textbooks for sessions 2020-21.