Class 11 Maths Syllabus

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Class 11 Maths Syllabus

The Central Board of Secondary Education(CBSE), one of the most sought-after educational boards pan-India, has worked upon the class 11 maths syllabus intensively to help the students build a strong foundation for all the advanced set of topics. If you 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!

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 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
Permutation and Combination  1. Fundamental principles of counting factorial (n!)
2. Formula derivation for npr and ncr
3. Simple applications
Binomial Theorem 1. Statement and proof of the binomial theorem in regard to positive indices.
2. Pascal’s triangle
3. Middle and general terms in binomial expansion
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 knowldege on the enlisted topics:  

Straight Lines

  • The slope of 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

Note: This is a generalized syllabus consisting of major topics. To go through all the topics included in the class 11 maths syllabus you can visit the official website of CBSE

Courtesy: Mathematics Analysis

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 – General Solutions of trigonometric equations of the type sin y = sin a, cos y = cos a and tan y = tan a.
Principle of Mathematical Induction Entire Chapter is Deleted 
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 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, short cut 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 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 from Ogives

Average Due Date

  • Zero date
  • Equated periods

Class 11 Maths Syllabus ICSE PDF

T help you with the above-mentioned syllabus, we have attached below a PDF fir 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 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. 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. Given 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 Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications.
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 Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability, etc
Integral Calculus Integral as an anti – derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions., 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, distance between two points, section formula, direction ratios and direction cosines, 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 as 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.

We, at Leverage Edu, believe that every student has the potential to achieve anything they aspire for if they put in sufficient efforts and work hard. If you are in need of a good educational counselling and want the best for your future, our experts are here to provide you with the necessary guidance so that you take an informed decision towards a fruitful career!

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