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CBSE 11 2023-2024 Mathematics Syllabus

CBSE 11 2023-2024 Mathematics Syllabus - Coding Bihar

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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 Sandeep Gupta

Posted by Sandeep Gupta

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