Edudel Syllabus Class 11 Maths

SESSION (2023-24)
ANNUAL SYLLABUS
CLASS XI
SUBJECT: MATHEMATICS (041)

CONTENT

Unit-1: Sets and Functions

1. 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). Universal set. Venn diagrams. Union and
Intersection of sets. Difference of sets. Complement of a set. Properties of Complement.
2 . 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 (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
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 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 sinx, siny,
cosx & cosy and their simple applications. Deducing identities like the following

tanx ± tany cotx coty ∓ 1
tan ( x ± y )= ,cot ( x ± y )=
1 ∓ tanx tany coty ± cotx
1 1
sin α ± sinβ=2 sin ( α ± β ) cos ( α ∓ β )
2 2
1 1
cos α +cosβ=2cos ( α + β ) cos ( α − β )
2 2
1 1
cos α − cosβ=− 2sin ( α + β ) sin ( α − β )
2 2

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

Unit-II: Algebra
1. Complex Numbers and Quadratic Equations ( Need for complex numbers,
especially√−1, to be motivated by inability to solve some of the quadratic equations.
Algebraic properties of complex numbers. Argand plane
2. Linear Inequalities
Linear inequalities. Algebraic solutions of linear inequalities in one variable and their
representation on the number line.
3. Permutations and Combinations
Fundamental principle of counting. Factorial n. (n!) Permutations and combinations,
derivation of Formulae for n P r and nC r and their connections, simple applications.

Mid term Syllabus must be completed by 15 th September 2023

Revision of Mid Term Exam Syllabus
Mid Term Exam
Discussion of Mid Term Question Paper 2023
4. Binomial Theorem
Historical perspective, statement and proof of the binomial theorem for positive
integral indices. Pascal’s triangle, simple applications.
5. Sequence and Series
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
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
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
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point.
Distance between two points.
Unit-IV: Calculus
1. Limits and Derivatives
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
Measures of Dispersion: Range, Mean deviation, variance and standard deviation of
ungrouped/grouped data.
2. Probability
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
Syllabus to be completed by the end of January 2024
REVISION FROM SUPPORT MATERIAL
&
PRACTICE PAPERS UPLOADED ON MIS
ANNUAL EXAMINATION -2024

For further Information kindly refer to CBSE guidelines https://cbseacademic.nic.in/