MATHEMATICS (XII)
(Code No. 041)
Session – 2024-25
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.
, CLASS-XII
(2024-25)
One Paper Max Marks: 80
No. Units No. of Periods Marks
I. Relations and Functions 30 08
II. Algebra 50
10
III. Calculus 80
35
IV. Vectors and Three - Dimensional Geometry 30
14
V. Linear Programming 20
05
VI. Probability 30
08
Total 240
80
Internal Assessment
20
Unit-I: Relations and Functions
1. Relations and Functions 15 Periods
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto
functions.
2. Inverse Trigonometric Functions 15 Periods
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Unit-II: Algebra
1. Matrices 25 Periods
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix,
symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and
multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non-
commutativity of multiplication of matrices and existence of non-zero matrices whose product is the
zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of
inverse, if it exists; (Here all matrices will have real entries).
2. Determinants 25 Periods
(Code No. 041)
Session – 2024-25
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.
, CLASS-XII
(2024-25)
One Paper Max Marks: 80
No. Units No. of Periods Marks
I. Relations and Functions 30 08
II. Algebra 50
10
III. Calculus 80
35
IV. Vectors and Three - Dimensional Geometry 30
14
V. Linear Programming 20
05
VI. Probability 30
08
Total 240
80
Internal Assessment
20
Unit-I: Relations and Functions
1. Relations and Functions 15 Periods
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto
functions.
2. Inverse Trigonometric Functions 15 Periods
Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions.
Unit-II: Algebra
1. Matrices 25 Periods
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix,
symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and
multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non-
commutativity of multiplication of matrices and existence of non-zero matrices whose product is the
zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of
inverse, if it exists; (Here all matrices will have real entries).
2. Determinants 25 Periods
