CBSE Class 11 Maths Syllabus 2022 For Term 1 & Term 2 | Download PDF

CBSE Class 11 Maths Syllabus 2022 For Term 1 & Term 2 PDF: Mathematics plays an important role in CBSE Class 11 Exam. It has a broader prospect if you have taken Science Stream in 11th. Apart from that, you can easily crack various competitive and entrance exams with a better concept on the subject. 

To prepare correctly for the 11th Maths exam, you must know the latest syllabus and exam pattern.

• Check CBSE Class 11 Maths Syllabus PDF 2020 For All Subjects

Here in this article, we are providing the latest Syllabus of Maths Class 11 CBSE 2022 For Term 1 & Term 2. You can check online and download the Syllabus PDF easily.

Latest CBSE Class 11 Maths Syllabus 2022 For Term 1 & Term 2

Maths is an essential subject for class 11 Science Stream. It is neither an easy subject nor a tougher one. With a clear concept of every chapter and the daily practice of exercises, you can score a better mark in the 11th Exam Mathematics. 

CBSE Changes the syllabus almost every year to provide updates to the course to the students. Here you can check new CBSE Maths Syllabus Class 11 CBSE 2022 For Term 1 & Term 2 and NCERT Textbook based on the latest syllabus.

CBSE Class 11 Maths Exam Pattern 2022 For Term 1 & Term 2

Unit	Topic	Marks
I.	Sets and Functions	29
II.	Algebra	37
III.	Coordinate Geometry	13
IV.	Calculus	06
V.	Mathematical Reasoning	03
VI.	Statistics and Probability	12
	Total	100

Latest CBSE Class 11 Maths Syllabus 2022 For Term 1 & Term 2

Unit-I: 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). Power set. Universal set. Venn diagrams. Union and Intersection of sets. The difference of sets. The complement of a set. Properties of Complement Sets. Practical Problems based on sets.

2. Relations & Functions

Ordered pairs, Cartesian product of sets. The number of elements in the cartesian product of two finite sets. Cartesian product of the sets of real (up to R x R). Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation.

The function is a special kind of relation from one set to another. 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 of one into other. Definition of trigonometric functions with the help of unit circle. Truth of the 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 sinx, siny, cosx & cosy 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. General solution of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.

Unit-II: Algebra

1. Principle of Mathematical Induction

Process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.

2. 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 and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system. The square root of a complex number.

3. Linear Inequalities

Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. Graphical solution of a system of linear inequalities in two variables.

4. Permutations and Combinations

The fundamental principle of counting. Factorial n. (n!)Permutations and combinations, derivation of formulae and their connections, simple applications.

5. Binomial Theorem

History, statement, and proof of the binomial theorem for positive integral indices. Pascal’s triangle, General and middle term in binomial expansion, simple applications.

6. Sequence and Series

Sequence and Series. Arithmetic Progression (A.P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., Arithmetic and Geometric series infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M. Formula for the following special sum:

 

Unit-III: Coordinate Geometry

1. Straight Lines

Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. The 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, and normal form. General equation of a line. Equation of family of lines passing through the point of intersection of two lines. The 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 and section formula.

Unit-IV: Calculus

1. Limits and Derivatives

Derivative introduced as rate of change both as that of distance function and geometrically.

Intutive idea of limit. Limits of polynomials and rational functions, trignometric, exponential and logarithmic functions. Definition of derivative, relate it to slope of tangent of a curve, derivative of sum, difference, product and quotient of functions. The derivative of polynomial and trignometric functions.

Unit-V: Mathematical Reasoning

1. Mathematical Reasoning

Mathematically acceptable statements. Connecting words/ phrases – consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words difference between contradiction, converse and contrapositive.

Unit-VI: Statistics and Probability

1. Statistics

Measures of dispersion; Range, mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.

2. Probability

Random experiments; outcomes, sample spaces (set representation). Events; the 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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CBSE NCERT Textbook For Class 11 Maths 2022 For Term 1 & Term 2 PDF

Here you can download Chapter-wise NCERT Textbook for Class 11 Maths for Hindi and English Medium.

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