6. MATHEMATICS (Code No. 041) 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 Bioscience, 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 dailylife.

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 (2017-18)

One Paper Total Periods 240 of 35 Minutes each Three Hours Max Marks. 100

No.Units No. of Periods Marks

I. Sets and Functions 60 29

II. Algebra 70 37

III. Coordinate Geometry 40 13

IV. Calculus 30 06

V. Mathematical Reasoning 10 03

VI. Statistics and Probability 30 12

Total 240100

*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 Sets.

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 quotient 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 trignometric

functions and their graphs. Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their

simple applications. Deducing the identities like the following:

CBSE Class 12 Mathematics Syllabus 2017-2018. Download the latest syllabus to do your studies as per the latest guidelines issued by CBSE NCERT. The syllabus,weightage of chapters,blue print of question papers and the design of question papersis issued every year for the benefit of students. Access all syllabus for all subjects here.

Please click the link below to download CBSE Class 12 Mathematics Syllabus 2017-2018