Edudel Syllabus 2025 Class 11 Math

ANNUAL SYLLABUS
CLASS XI
SUBJECT: MATHEMATICS (041)
SESSION (2024-25)

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
sin α ± sinβ=2 sin ( α ± β ) cos ( α ∓ β )

cos α +cosβ=2cos ( α + β ) cos ( α − β )
cos α − cosβ=− 2sin ( α + β ) sin ( α − β )

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.

COMPLETION OF MID TERM SYLLABUS BY 13TH SEPTEMBER 2024
REVISION
Mid Term Exam
Discussion of Mid Term Question Paper
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 2025
REVISION FROM SUPPORT MATERIAL
&
PRACTICE PAPERS UPLOADED ON MIS
ANNUAL EXAMINATION -2025

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