CBSE 11 2023-2024 Mathematics Syllabus

CBSE Math 11 Syllabus

Total Marks 80

Sets and Functions 23

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 Sets

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 (up to 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.

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 sin2x + cos2x = 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 sin x, sin y, cos x & cos y and their simple application.

👉 Deducing identities like the following: Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x.

Algebra 25

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.

Linear Inequalities

👉 Linear inequalities

👉 Algebraic solutions of linear inequalities in one variable and their representation on the number line.

Permutations and Combinations

👉 Fundamental principle of counting

👉 Factorial n. (n!)

👉 Permutations and combinations

👉 Derivation of formulae for nPr and nCr and their connections, simple applications.

Binomial Theorem

👉 Historical perspective, statement and proof of the binomial theorem for positive integral indices

👉 Pascal's triangle, simple applications.

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.

Coordinate Geometry 12

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.

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.

Introduction to Three-dimensional Geometry

👉 Coordinate axes and coordinate planes in three dimensions

👉 Coordinates of a point

👉 Distance between two points.

Calculus 08

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.

Statistics and Probability 12

Statistics

👉 Measures of dispersion: Range, mean deviation, variance and standard deviation of ungrouped/grouped data.

Probability

👉 Events; occurrence of events, 'not', 'and' and 'or' events, exhaustive events, mutually exclusive events

👉 Axiomatic (set theoretic) probability, connections with the theories of earlier classes

👉 Probability of an event, probability of 'not', 'and' and 'or' events.

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