MATHEMATICS (XI-XII)
(Code No. 041)
Session – 2022-23
The Syllabus in the subject of Mathematics has undergone changes from time to time in
accordance with growth of the subject and emerging needs of the 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 Biological science,
Commerce or Computer Applications. The present revised syllabus has been designed in
accordance with National Curriculum Framework 2005 and as per guidelines 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 application of various concepts.
Objectives
The broad objectives of teaching Mathematics at senior school stage intend to help the students:
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 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 develop positive attitude to think, analyze and articulate logically.
to develop interest in the subject by participating in related competitions.
to acquaint students with different aspects of Mathematics used in daily life.
to develop an interest in students to study Mathematics as a discipline.
to develop awareness of the need for national integration, protection of environment,
observance of small family norms, removal of social barriers, elimination of gender
biases.
to develop reverence and respect towards great Mathematicians for their contributions
to the field of Mathematics.
, COURSE STRUCTURE
CLASS XI (2022-23)
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). 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
(Code No. 041)
Session – 2022-23
The Syllabus in the subject of Mathematics has undergone changes from time to time in
accordance with growth of the subject and emerging needs of the 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 Biological science,
Commerce or Computer Applications. The present revised syllabus has been designed in
accordance with National Curriculum Framework 2005 and as per guidelines 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 application of various concepts.
Objectives
The broad objectives of teaching Mathematics at senior school stage intend to help the students:
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 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 develop positive attitude to think, analyze and articulate logically.
to develop interest in the subject by participating in related competitions.
to acquaint students with different aspects of Mathematics used in daily life.
to develop an interest in students to study Mathematics as a discipline.
to develop awareness of the need for national integration, protection of environment,
observance of small family norms, removal of social barriers, elimination of gender
biases.
to develop reverence and respect towards great Mathematicians for their contributions
to the field of Mathematics.
, COURSE STRUCTURE
CLASS XI (2022-23)
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). 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
