The class 11 Mathematics syllabus has changed from time to time. India’s educational boards, CBSE, IB, ICSE and others prepare the Mathematics syllabus for each class. As India’s most popular education board, CBSE has worked on the class 11 maths syllabus intensively to help the students build a strong foundation for all the advanced sets of topics. The CBSE Class 11 Mathematics will cover all the subjects from the NCERT books.

The Mathematics paper will carry a total of 80 marks divided into five units. For students who are currently in higher secondary school and are dubious about **how to study in class 11** for maths then here is a blog that will highlight the maths syllabus for class 11th, set as per the CBSE guidelines, in detail!

##### This Blog Includes:

- Class 11 Maths Syllabus PDF CBSE
- List of Class 11 Maths Chapters
- Class 11 Maths NCERT
- Unit 1: Sets and Functions
- Unit 2: Algebra
- Unit 3: Coordinate Geometry
- Unit 4: Calculus
- Unit 5: Mathematical Reasoning
- Unit 6: Statistics and Probability
- Class 11 Maths Syllabus: Deleted Portion
- Class 11 Maths Syllabus ICSE
- Class 11 Maths Syllabus ICSE PDF
- Class 11 Maths Syllabus: UP Board
- Important Maths Books for Class 11
- Class 11 Maths Syllabus for JEE
- FAQs
- [Bonus]: Read Out our Other Blogs Related to Class 11!

Unit | Name of the Unit | Chapters | Allotted Marks |

1. | Sets and Functions | Sets Relations and Functions Trigonometric Functions | 23 |

2. | Algebra | Principles of Mathematical induction Complex Numbers and Quadratic Equations Linear Inequalities Permutation and Combinations Binomial Theorem Sequence and Series | 30 |

3. | Coordinate Geometry | Straight Lines Conic Sections Introduction to Three-dimensional Geometry | 10 |

4. | Calculus | Limits and Derivatives | 05 |

5. | Mathematical Reasoning | Mathematical Reasoning | 02 |

6. | Statistics and Probability | Statistics Probability | 10 |

## Class 11 Maths Syllabus PDF CBSE

Here is the PDF for class 11 Mathematics-

## List of Class 11 Maths Chapters

Here is a combined list of class 11 Maths chapters-

- Chapter 1: Sets
- Chapter 2: Relations and Functions
- Chapter 3: Trigonometric Functions
- Chapter 4: Principle of Mathematical Induction
- Chapter 5:
**Complex Numbers**and Quadratic Equations - Chapter 6: Linear Inequalities
- Chapter 7: Permutations and Combinations
- Chapter 8: Binomial Theorem
- Chapter 9: Sequence and Series
- Chapter 10: Straight Lines
- Chapter 11: Conic Sections
- Chapter 12: Introduction to Three–dimensional Geometry
- Chapter 13: Limits and Derivatives
- Chapter 14:
**Mathematical Reasoning** - Chapter 15: Statistics
- Chapter 16: Probability

## Class 11 Maths NCERT

If you are exploring the above-mentioned chapters, **Click Here** to download the NCERT book for class 11 Mathematics.

## Unit 1: Sets and Functions

Familiarising the students about the concepts related to sets, relations and trigonometric functions, this unit of the class 11 maths syllabus includes the following chapters and the important topics covered underneath them:

**Sets**

- Sets and their representations
- Finite and infinite sets
- Universal set
- Venn diagrams
- Complement of set and properties of complement

**Relations and Functions**

- Cartesian product of sets
- Relation ( definition, diagram, domain, and range)
- Function ( diagram, domain, and range)
- Polynomial, rational, modulus, signum, logarithmic
- Sum, difference, quotient, and product of functions

**Trigonometric Functions**

- Angles (positive and negative)
- Signs of trigonometric functions
- Domain and range and graphs of trigonometric functions
- Deducing identities
- Identities related to sin2x, sin3x, cos2x, cos3x, tan2x, and tan3x.

**Also Read:** **Maths for Competitive Exams**

## Unit 2: Algebra

The following are the chapters under the second unit of the Class 11 maths syllabus that a student should be aware of:

Chapters | Topics Covered |

Principles of Mathematical Induction | 1. Process of proof by induction 2. Principles of mathematical induction and simple applications |

Complex Numbers and Quadratic Equations | 1. Algebraic properties of complex numbers 2. Argand and polar representation of complex numbers 3. The fundamental theorem of algebra 4. Solving quadratic equations in complex numbers 5. Square roots of complex numbers |

Linear Inequalities | 1. Algebraic solutions and graphical representations of linear inequalities in one variable 2. Graphical methods and solutions of linear inequalities in two variables |

1. Fundamental principles of counting factorial (n!) 2. Formula derivation for NPR and ncr 3. Simple applications | 1. Statement and proof of the binomial theorem with positive indices. 2. Pascal’s triangle 3. Middle and general terms in binomial expansion |

Binomial Theorem | 1. Fundamental principles of counting factorial (n!) 2. Formula derivation for NPR and NCR 3. Simple applications |

Sequences and Series | 1. Arithmetic Progression (AP) and Arithmetic Mean (AM) 2. Geometric Progression (GP) and Geometric Mean (GM) 3. The relation between AM and GM 4. Infinite GM and its sum |

## Unit 3: Coordinate Geometry

**Coordinate Geometry** being the third unit of the class 11 maths syllabus will impart knowledge on the enlisted topics:

**Straight Lines**

- The slope of the line and angles between 2 lines
- Forms of equations of a line
- General equation of a line
- The distance of a point from the line

**Conic Sections**

- Sections of a cone: parabola, hyperbola, ellipse
- Properties and equations of a parabola, hyperbola, and ellipse
- Standard equations of a circle

**Introduction to Three-Dimensional Geometry**

- Coordinate axes and planes in 3D
- Distance between 2 points, section formula
- Coordinates of a point

## Unit 4: Calculus

This unit of class 11 maths syllabus introduces the students to the broad concepts related to calculus which includes limits and derivatives. The basic formulae and techniques to solve the problems will also be covered.

- Intuitive idea of limits
- Limits of polynomial, rational, trigonometric, exponential and logarithmic functions
- The derivative of the sum, difference, quotient, and product of functions
- Derivatives of polynomial and trigonometric functions

## Unit 5: Mathematical Reasoning

Upskilling the mathematical reasoning skills of the students, this unit of the class 11 maths syllabus includes the following notable topics:

- Connecting words
- Understanding of conditions such as “if and only if”, “and/or”, “implies”, “implies by”, “there exists” and their uses
- Validating the statements involving the connecting words
- Difference between contradiction, contrapositive, and converse

**Also Read:** **Probability Questions**

## Unit 6: Statistics and Probability

This unit of class 11 maths syllabus makes the students understand the important concepts of statistics and probability through the following chapters which can also come handy when perusing courses like **BSc Statistics****.**

**Statistics**

- Measures of Dispersion (mean deviation, range, variance and standard deviation of grouped and ungrouped data)
- Frequency distributions analysis

**Probability**

- Random experiments
- Sample spaces
- Events
- Axiomatic probability
- Probability of an event
- Probability of “not”, “and” and “or” events

## Class 11 Maths Syllabus: Deleted Portion

The portions mentioned below have been reduced from the class 11 maths syllabus for the year 2020- 2021:

Chapters | Deleted Topics |

Sets | – Difference between sets. – Complement of a set. Properties of Complement |

Relations & Functions | – (up to RXRXR ) – Sum, Difference, product and quotients of functions |

Trigonometric Functions | The entire Chapter is Deleted |

Principle of Mathematical Induction | – General Solutions of trigonometric equations of the type in y = sin a, cos y = cos a and tan y = tan a. |

Complex Numbers and Quadratic Equations | – Polar representation of complex numbers. – Square root of a complex number. |

Permutations and Combinations | – Derivation of formulae for nPr and nCr |

Binomial Theorem | The entire Chapter is Deleted |

Sequence and Series | |

Straight Lines | – Shifting of origin. – Equation of family of lines passing through the point of intersection of two lines. |

Conic sections | – A point, a straight line and a pair of intersecting lines as a degenerate case of a conic section. |

Mathematical Reasoning | Entire Chapter is Deleted |

Statistics | – Analysis of frequency distributions with equal means but different variances. |

Probability | – Axiomatic (set theoretic) probability, connections with other theories of earlier classes |

## Class 11 Maths Syllabus ICSE

Mentioned below is the class 11 maths syllabus for the ICSE board-

### Mathematical Reasoning

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

### Algebra

- Complex Numbers
- Quadratic Equations
- Finite and Infinite Sequence
**Arithmetic Progression**(A.P.)- Geometric Progression (G.P.)
- Harmonic Progression
- Arithmetic Geometric Series
- Special sums
- Permutations Combinations
- Mathematical induction
- Using induction to prove various summations and divisibility
**Binomial Theorem**- Significance of Pascal’s triangle
- Binomial theorem (proof using induction) for positive integral power
- Binomial theorem for negative or fractional indices
- Properties of Binomial Coefficients

### Trigonometry

- Angles and Arc lengths
- Trigonometric Functions
- Compound and multiple angles
- Trigonometric Equations

### Calculus

- Basic Concepts of Relations and Function
- Ordered pairs, sets of ordered pairs
- Cartesian Product (Cross) of two sets, cardinal number of a cross product
- Types of Relations: reflexive, symmetric, transitive and equivalence relation
- Binary Operation
- Domain, Range and Co-domain of a Relation.
- Functions
- Differential calculus
- Limits
- Continuity
- Differentiation
- Application of derivatives
- Integral Calculus

### Coordinate Geometry

- Basic concepts of Points and their coordinates
- The straight lin
- Circle

### Statistics

- Measures of central tendency
- Standard deviation- by direct method, shortcut method and step deviation method
- Combined mean and standard deviation

### Vectors

- As directed line segments
- Magnitude and direction of a vector
- Types: equal vectors, unit vectors, zero vector
- Position vector
- Components of a vector
- Vectors in two and three-dimensions

### Coordinate Geometry in 3-Dimensions

- As an extension of 2-D
- Distance formula
- Section and midpoint formula
- Equation of the x-axis, y-axis, z-axis and line parallel to them.
- Equation of xy – plane, yz – plane, zx – plane
- Direction cosines, direction ratios

### Statistics

- Median – direct and by using the formula
- Quartiles – direct and by using the formula
- Deciles – direct and by using the formula
- Percentiles – direct and by using the formula
- Mode – graphically, direct method and by using the formula
- Estimation of median/quartiles gives

### Average Due Date

- Zero date
- Equated periods

## Class 11 Maths Syllabus ICSE PDF

To help you with the above-mentioned syllabus, we have attached below a PDF for the same-

## Class 11 Maths Syllabus: UP Board

Chapters | Topics | Periods |

Sets | Sets and their representations.Empty set.Finite and Infinite sets.Equal sets.Subsets.Subsets of a set of real numbers especially intervals | 20 |

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. | 20 |

Trigonometric Functions | Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions. Domain and range of trigonometric functions and their graphs | 20 |

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. | 10 |

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 | 15 |

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. | 15 |

Permutations and Combinations | Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation and, simple applications. | 10 |

Binomial Theorem | Historical perspective, statement and proof of the binomial theorem for positive integral indices.Pascal’s triangle, General and middle term in binomial expansion, simple applications. | 10 |

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.), the relation between A.M. and G.M. Formulae for the following special sums. | 10 |

Straight Lines | Brief recall of two-dimensional geometry from earlier classes. Shifting of origin. The slope of a line and the angle between two lines. Various forms of equations of a line: parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form and normal form. | 10 |

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. | 20 |

Introduction to Three-dimensional Geometry | Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. Distance between two points and section formula. | 10 |

Limits and Derivatives | Derivative introduced as rate of change both as that of distance function and geometrically. | 30 |

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 a variety of examples related to real life and Mathematics. | 10 |

: 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. | 15 |

Probability | Random experiments; outcomes, sample spaces (set representation). Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events, Axiomatic (set theoretic) probability, connections with other theories of earlier classes. | 15 |

## Important Maths Books for Class 11

Many times, the questions in the NCERT Maths class 11 books are not sufficient to build a strong base. Thus, students move towards some reference books or practice books that can help them build a stronger understanding of the topics. Below is a list of such popular books:

Name of the Book | Buy Here Link |

Senior Secondary School Mathematics for Class 11 Examination 2020 by R.S Aggarwal | Buy Here |

All In One Mathematics CBSE class 11 Paperback by Arihant Experts | Buy Here |

NCERT Mathematics Exemplar Problems For Class XI Paperback by NCERT | Buy Here |

Oswaal CBSE Question Bank Class 11 Mathematics Book Chapterwise & Topicwise by Oswaal Editorial Board | Buy Here |

Oswaal NCERT Problems – Solutions (Textbook + Exemplar) Class 11 Mathematics Book by Oswaal Editorial Board | Buy Here |

Mathematics for Class 11 by R D Sharma | Buy Here |

## Class 11 Maths Syllabus for JEE

Units | Topics |

Sets, Relations and Functions | Sets and their representation; Union, intersection and complement of sets and their algebraic properties. |

Complex Numbers and Quadratic Equations | Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, etc |

Matrices and Determinants | Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants, etc |

Permutations And Combinations | Real-valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability, etc |

Mathematical Induction | Principle of Mathematical Induction and its simple applications. |

Binomial Theorem and its Simple Applications | Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. |

Sequences and Series | Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M., etc |

Limit, Continuity and Differentiability | Integral as an anti-derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions., etc |

Integral Calculus | Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines, etc |

Differential Equations | Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, etc |

Co-ordinate Geometry | Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axe, etc |

Three Dimensional Geometry | Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, the angle between two intersecting lines, etc |

Vector Algebra | Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product. |

Statistics and Probability | Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. |

Trigonometry | Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances |

Mathematical Reasoning | Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive. |

## FAQs

**Q1: Is class 11th Maths difficult?**Yes, class 11 Maths is much more difficult than class 10th Maths. New concepts like relation function, set theory, Algebra and Calculus are introduced in this class. Students need to pay extra attention in classrooms to understand these concepts.

**Q2: How many chapters are there in class 11 Maths?**There are in all 16 chapters in class 11 Maths. You can read the article above to know the names of these chapters and their course contents.

**Q3: Which guide is best for class 11 Maths?**RD Sharma and RS Aggarwal are considered the best class 11 Maths reference books. They illustrate the concepts well as well as provide students with a lot of practice questions.

**Q4: Can we drop Maths in 11th Science?**The answer to this question can be found only with the authorities of your school. Some schools allow students to change their subjects in class 12th whereas some don’t.

**Q5: Is NCERT enough for class 11 maths?**

NCERT Maths solutions are considered to be the best as they provide you with the best understanding of the concepts.

## [Bonus]: Read Out our Other Blogs Related to Class 11!

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