CBSE Class 11 Maths Syllabus 2022-2023 (New): Download in PDF

by James · July 6, 2022

CBSE Class 11 Maths Syllabus 2022-2023 is provided here for download in PDF. Students must check this revised and reduced syllabus to know the course content to be studied during the 2022-2023 session. This syllabus is set according to the annual assessment plan, and the annual CBSE Class 11 Maths Exam will only be based on the revised syllabus. Therefore, students must go through the entire curriculum and study mathematics according to the content mentioned in it.

Check CBSE class 11 Had to Course structure 2022-23 below:

Theory assignment

Time: 3 hours Max points: 80
No.	Devices	Number of periods	Brands
I	Sets and features	60	23
II	Algebra	50	25
III	Coordinate geometry	50	12
IV	Bill	40	08
V	Statistics and probability	40	12
	Total	240	80
	Internal assessment		20

* No chapter / unit weighting. Be sure to cover all chapters.

Unit-I: Sets and functions

Set (20 periods)

Quantities and their representations, empty sets, finite and infinite quantities, equal quantities, subsets, subsets of a set of real numbers, especially intervals (with notations). Universal set. Friend charts. Union and cutting of sets. Difference in sets. Complement of a set. Complement properties.

2. Relationships and functions (20 periods)

Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two final sets. Cartesian product of the set of reales with itself (up to R x R x R). Definition of relationship, image diagrams, domain, co-domain and scope of a relationship. Works as a special type of relationship. Image presentation of a function, domain, co-domain and range of a function. Really valued functions, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and largest integer functions, with their graphs. Sum, difference, product and quotients of functions.

3. Trigonometric functions (20 periods)

Positive and negative angles. Measure angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions using unit circle. The truth about identity sin²x + cos²x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs. Express sin (x ± y) and cos (x ± y) in the form of sinx, siny, cosx & cozy and their simple applications. Derive identities as follows:

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

Unit-II: Algebra

1. Complex numbers and quadratic equations (10 periods)

The need for complex numbers, especially √ − 1, to be motivated by the inability to solve some of the quadratic equations. Algebraic properties of complex numbers. Argand fly

2. Linear differences (10 periods)

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

3. Permutations and combinations (10 periods)

Basic principle of counting. Factorial n. (N!) Permutations and combinations, derivation of formulas for ⁿP_r and ⁿC_r and their connections, simple applications.

4. Binomial theorem (10 periods)

Historical perspective, statements and evidence of the binomial theorem for positive integral indices. Pascal’s triangle, simple applications.

5. Sequence and series (10 periods)

Sequence and series. Arithmetic mean (AM) geometric progression (GP), general term for a GP, sum of n terms of a GP, infinite GP and sum, geometric mean (GM), ratio between AM and GM

Unit-III: Coordinate Geometry

1. Straight lines (15 sentences)

Short recall of two-dimensional geometry from previous classes. Slope on one line and angle between two lines. Different forms of equations of a line: parallel to the axis, point – slope shape, slope cut-off shape, two-point shape, cut-off shape, Distance to a point from a line.

2. Cone section (25 periods)

Sections of a cone: circles, ellipse, parabola, hyperbola, a point, a straight line and a pair of intersecting lines as a degenerate case of a conic section. Standard equations and simple properties for parabola, ellipse and hyperbola. Standard equation for a circle.

3. Introduction to three-dimensional geometry (10 periods)

Coordinate axes and coordinate plan in three dimensions. Coordinates to a point. Distance between two points.

Unit-IV: Calculus

Limits and derivatives (40 periods)

Derivative introduced as rate of change both as distance function and geometric. Intuitive idea of boundaries. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions. Definition of derivative relates to the range of tangent to the curve, derived from sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.

Unit-V statistics and probability

Statistics (20 periods)

Scattering targets: Range, average deviation, variance and standard deviation for ungrouped / grouped data.

2. Probability (20 periods)

Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretical) probability, connections with other theories from previous classes. Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

MATHEMATICS QUESTION DESIGN CLASS – XI (2022-23)

1. No chapter weighting. Be sure to cover all chapters

Appropriate internal variations can be made to generate different templates that keep the total weight of different question forms and typology of questions the same.

Choice:

There will be no overall choice in the questionnaire.

However, 33% internal elections will be given in all sections