CBSE Class 11 Maths Syllabus 2021-2022 - GMS - Learning Simply
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# CBSE Class 11 Maths Syllabus 2021-2022

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# CBSE Class 11 Maths Syllabus 2021-2022

CBSE Class 11 Maths Syllabus is a crucial resource for students that help them in their preparation. It provides the details on the course structure, exam pattern and marks weightage of Mathematics subject. Before start preparing for the Class 11 Maths exam, students should go through the syllabus once so that they will get to know what they are going to study for the academic year 2021-2022. Referring to the CBSE syllabus for class 11 Maths will work as a checklist for students. They can easily analyse the topics that they have covered and topics they need to complete.

Students can directly access the CBSE Maths Syllabus for Class 11 academic years by clicking on the links below.

After knowing the CBSE Syllabus, students can easily create a study plan for themselves. Accordingly, they can make the exam strategy and can efficiently prepare for the exam.

Maths generate analytical and problems solving skills among students. It is a scoring subject for students. By following the right strategy and approach, a students can even score full marks. They can access the CBSE Class 11 Maths Syllabus for 2020-21 along with question paper pattern and marks distribution from the pdf link provided above.

## CBSE Class 11 Maths Syllabus 2020-21 with Marking Scheme

CBSE syllabus for class 11 Maths is divided into 6 units. The table below shows the units, no. of periods and marks allocated to each unit. The Maths theory paper is of 80 marks and internal assessment is of 20 marks.

 No. Units No. of Periods Marks I. Sets and Functions 43 23 II. Algebra 41 30 III. Coordinate Geometry 33 10 IV. Calculus 30 07 V. Statistics and Probability 21 10 Total 168 80 Internal Assessment 20

Below, the link for the deleted portion of the CBSE Class 11 Maths Syllabus 2020-21 is also given:

### Unit-I: Sets and Functions

#### 1. Sets

Periods 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

#### 2. Relations & Functions

Periods 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 ( R x R only).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.

#### 3. Trigonometric Functions

Periods 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 sin2 x + cos2 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 sin x, sin y, cos x & cos y and their simple applications.

### 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. Statement of Fundamental Theorem of Algebra, solution of quadratic equations (with real coefficients) in the complex number system.

#### 2. 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 method of finding a solution of system of linear inequalities in two variables.

#### 3. Permutations and Combinations

Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula for nPr and nCr, simple applications.

#### 4. 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., 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 and normal form. General equation of a line. Distance of a point from a line.

#### 2. Conic Sections

Sections of a cone: circles, ellipse, parabola, hyperbola. 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. 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

Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.

## CBSE Class 11 Maths Syllabus for Academic Year 2021-22

The CBSE has released the latest CBSE Class 11 Syllabus for the academic year 2021-22 on their official site. Students can download the Mathematics syllabus pdf of Class 11 Maths from the link given below.

### CBSE Class 11 Maths Course Structure 2021-22

 UNITS NO. OF PERIODS MARKS Unit 1- Sets and Functions 60 23 Unit 2- Algebra 70 30 Unit 3- Coordinate Geometry 40 10 Unit 4- Calculus 30 05 Unit 5- Mathematical Reasoning 10 02 Unit 6- Statistics and Probability 30 10 TOTAL 240 80 INTERNAL ASSESSMENT 20

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1. Sir thannks very much