Table of Contents
Maths Class 11 Syllabus 2021-22
The Syllabus of subject of Mathematics has modified and underwent through changes from time to time as per the demand of situation arises, with holistic growth of the subject and integrated needs of the society. Senior Secondary stage is a foundation stage where students decide their path in various direction and lead towards a better profession that will enhance the society.
Mathematics, According to Reuben is a science that study numbers, shapes and logical interpretation of the practical situations. C.B.S.E. provides very vast and comprehensive syllabus that deals with various areas and concept to adapt logical interpretation of real situation and creates a strategic base for higher studies in various field like Mathematics and other courses i.e. Engineering, Physical and Biological science, Commerce or Computer Applications.
Maths Class 11 Syllabus 2021-22 Pdf Download
As we know to deal with the current scenario, C.B.S.E revised the syllabus as per the National Curriculum Framework 2005 and guidelines of Teaching Mathematics 2005 fulfill the emerging needs of the dynamic society and students.
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CBSE Term 1 & Term 2 Class 11 Maths Syllabus 2021-22
CBSE class 11th Mathematics New Term wise Revisied syllabus 2021-22 provides an overall overview of the units and the chapters covered within each unit. Here, we will provide the complete information about the revised and updated syllabus along with marking scheme as per C.B.S.E. guideline . The complete performa given here gives students a brief about them, over how to strategise and plan to get an edge over the subjects as per mark distribution.
The revised syllabus of mathematics subject of class 11 involves various topics and concepts that prepares students for better future with clear base of the subject, so that they can solve the problems and get logical interpretation. The class 11 mathematics syllabus deals with various topics that integrates with other branches of science like Physics, Chemistry and Biology.
One Paper:180 Minutes Max Marks: 80
S.no | CBSE Class 11 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Sets and Function | 19 |
2. | Algebra | 24 |
3. | Coordinate Geometry | 15 |
4. | Calculus | 10 |
5. | Statistics and Probability | 12 |
Total | 80 | |
Internal Assessment | 20 |
Total 100
Out of the 100 marks, 80 marks are covered by these units and the remaining 20 marks are covered by the internal assessment which are undertaken by the Periodic test, Mathematics assingments.
Internal Assessment: Throughout the year-irrespective of Term 1 & 2 would include the two Periodic Test and 2 Mathematics Activities that constitutes Activity file record add Term end assessment of one activity & Viva with Lab manual as per CBSE Guidelines.
Term 1 Class 11th Maths Syllabus 2021-22
Course Structure
TERM- I
One paper Max. marks
90 min 40
S.no | CBSE Class 11 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Sets and Function | 11 |
2. | Algebra | 13 |
3. | Coordinate Geometry | 6 |
4. | Calculus | 4 |
5. | Statistics and Probability | 6 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
Unit-I: Sets and Functions
- 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.
- 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 ( 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.
Unit-II: Algebra
- Complex Numbers and Quadratic Equations
Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quardratic 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.
- 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
- 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.
Unit-IV: Calculus
- Limits
Intuitive idea of limit. Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
Unit-V: Statistics and Probability
- Statistics Measures of Dispersion:
Range, mean deviation, variance and standard deviation of ungrouped/grouped.
INTERNAL ASSESSMENT 10 MARKS
Periodic Test 5 Marks
Mathematics Activities: 5 Marks
Activity file record +Term end assessment of one activity & Viva
Term 2 Class 11th Maths Syllabus 2021-22
TERM- II
One paper Max. marks
90 min 40
S.no | CBSE Class 11 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Sets and Function | 8 |
2. | Algebra | 11 |
3. | Coordinate Geometry | 9 |
4. | Calculus | 6 |
5. | Statistics and Probability | 6 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
Unit-I: Sets and 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 sinx, siny, cosx & cosy and their simple applications.
Deducing identities like the following:
tan(x ± y) = tan x ± tan y 1 ∓ tan x tan y , cot(x ± y) = cot x cot y ∓ 1 cot y ± cot x sinα ± sinβ = 2sin 1 2 (α ± β)cos 1 2 (α ∓ β) cosα + cosβ = 2cos 1 2 (α + β)cos 1 2 (α − β) 𝑐𝑜𝑠𝛼 − 𝑐𝑜𝑠𝛽 = −2𝑠𝑖𝑛 1 2 (𝛼 + 𝛽)𝑠𝑖𝑛 1 2 (𝛼 − 𝛽) Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.
Unit-II: Algebra
- 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. 2. Permutations and Combinations Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, formula for nPr and nCr, simple applications.
Unit-III: Coordinate Geometry
- 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. 2. 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
- Derivatives
Derivative introduced as rate of change both as that of distance function and geometrically. 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
- 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.
INTERNAL ASSESSMENT 10 MARKS
Periodic Test 5 Marks
Mathematics Activities: 5 Marks
Activity file record +Term end assessment of one activity & Viva
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CBSE Maths Class 11 Syllabus 2021-22 for Term 1 & Term 2: FAQs
What topics are covered under different units of Maths class 11^{th}?
The topics covered in Mathematics are Sets and Functions, Coordinate geometry, Calculus, Algebra and Probability.
How to prepare CBSE Class 11 syllabus?
Finish off the syllabus as soon as possible as the syllabus is very vast and extensive. After the chapter is finished, try to solve the questions from in between the chapters as well. Solve the sample papers as much as you can.
How are the marks distributed according to the syllabus in class 11 Mathematics?
From a total of 100 marks, 80 marks are for the written examination while 20 marks are carried by the internal assessment. The marks distribution for the written examination is as follows – (1) Unit I – 19 marks, (2) Unit II – 24 marks, (3) Unit III – 15 marks, (4) Unit IV – 10 marks, (5) Unit V – 12 marks.
How many units are there in class 11 Mathematics?
NCERT mathematics textbook for class 11 consists of total 5 units.
How can I score 100 Mathematics in CBSE Class 11?
You can score full marks in Math by doing practice daily and follow the strategy as per revised syllabus of mathematics and for more information and details visit Adda247.