CBSE Class 11 Maths Syllabus - Free PDF Download
CBSE Syllabus 2026-27 Class 11: The CBSE Class 11 Maths Syllabus for the examination year 2026-27 has been released by the Central Board of Secondary Education, CBSE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 CBSE Class 11 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.
The detailed CBSE Class 11 Maths Syllabus for 2026-27 is below.
Academic year:
CBSE Class 11 Mathematics Revised Syllabus
CBSE Class 11 Mathematics Course Structure 2026-27 With Marking Scheme
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Syllabus
1: Sets and Functions
CBSE Class 11 Mathematics Syllabus
1 Sets
- Sets and Their Representations
- Roster or Tabular method or List method
- Set-Builder or Rule Method
- Classification of Sets
- Subsets
- Subsets of set of real numbers
- Intervals as subsets of R
- Subsets
- Venn Diagrams
- Fundamental Concepts of Ordered Pairs and Relations
- Intrdouction of Operations on Sets
- Union of Sets
- Union of sets
- Some Properties of the Operation of Union
- Intersection of Sets
- Intersection of sets
- Some Properties of Operation of Intersection
- Difference of Sets
- Difference of sets
- Complement of a Set
- De Morgan's Law
- Some Properties of Complement Sets
- Practical Problems on Union and Intersection of Two Sets
- Proper and Improper Subset
- Open and Close Intervals
- Element Count Set
2 Relations and Functions
- Fundamental Concepts of Ordered Pairs and Relations
- Definition of Relation
- Domain
- Co-domain and Range of a Relation
- Ordered Pairs
- Equality of Ordered Pairs
- Pictorial Diagrams
- Pictorial Representation of a Function
Domain, Co-domain and Range of a function
- Functions
- Ways of Representing Functions
- Tabular Representation of a Function
- Graphical Representation of a Function
- Analytical Representation of a Function
- Some Elementary Functions
- Types of Functions
- Operations on Functions
- Inverse of a Function
- Algebra of Functions
- Some Special Functions
- Exponential Function
Domain and range of this function
- Logarithmic Functions
Concept of Logarithmic Functions
Domain and range of this function
- Some Functions and Their Graphs
- Identity function - Domain and range of this function
- Constant function - Domain and range of this function
- Polynomial function -Domain and range of this function
- Rational functions - Domain and range of this function
- The Modulus function - Domain and range of this function
- Signum function - Domain and range of this function
- Greatest integer function
- Algebra of Real Functions
- Sum, Difference,Product and Quotient of Function
- Addition of two real functions
- Subtraction of a real function from another
- Multiplication by a scalar
- Multiplication of two real functions
- Quotient of two real functions
- Graph of Function
- Brief Review of Cartesian System of Rectanglar Co-ordinates
3 Trigonometric Functions
- Angles and Their Measurement in Higher Mathematics
- Definition: Angle
- Properties of Angle
- Trigonometric Ratios
- Signs of Trigonometric Functions
- Domain and Range of Trigonometric Functions
- Domain and Range of Trignometric Functions and Their Graphs
- Trigonometric Functions of Sum and Difference of Two Angles
- Identities Related to Sin 2x, Cos2x, Tan 2x, Sin3x, Cos3x and Tan3x.
- Deducing the Identities
- Deducing the identities like the following:-
`tan(x+-y)=(tanx+-tany)/(1+-tanxtany)", "cot(x+-y)=(cotxcoty+-1)/(coty+-cotx)`
`sinalpha+-sinbeta=2"sin"1/2(alpha+-beta)"cos"1/2(alpha+-beta)`
`cosalpha+cosbeta=2"cos"1/2(alpha+beta)"cos"1/2(alpha-beta)`
`cosalpha-cosbeta=-2"sin"1/2(alpha+beta)"sin"1/2(alpha-beta)`
- Trigonometric Equations
- Trigonometric Functions
- Truth of the Identity
sin2x+cos2x=1, for All X.
- Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications
- Truth of the Identity
- Negative Function Or Trigonometric Functions of Negative Angles
- 90 Degree Plusminus X Function
- Conversion from One Measure to Another
- 180 Degree Plusminus X Function
- 2X Function
- 3X Function
- Graphs of Trigonometric Functions
- The graph of sine function
- The graph of cosine function
- The graph of tangent function
- Transformation Formulae
4.3.1 Transformation of the products into sum or difference
4.3.2 Transformation of sum or difference into product
- Values of Trigonometric Functions at Multiples and Submultiples of an Angle
- Sine and Cosine Formulae and Their Applications
2: Algebra
CBSE Class 11 Mathematics Syllabus
4 Complex Numbers and Quadratic Equations
- Concept of Complex Numbers
- Imaginary number
- Complex Number
- Algebra of Complex Numbers - Equality
Equality of Complex number
- Algebraic Properties of Complex Numbers
- Need for Complex Numbers
Need for complex numbers, especially √−1, to be motivated by inability to solve some of the quardratic equations
- Square Root of a Complex Number
- Algebraic Operations of Complex Numbers
- Equality of two Complex Numbers
- Conjugate of a Complex Number
- Properties of `barz`
- Addition of complex numbers - Properties of addition, Scalar Multiplication
- Subtraction of complex numbers - Properties of Subtraction
- Multiplication of complex numbers - Properties of Multiplication
- Powers of i in the complex number
- Division of complex number - Properties of Division
- The square roots of a negative real number
- Identities
- The Modulus and the Conjugate of a Complex Number
- Modulus of Complex Number
- Conjugate of Complex Number
- Argand Plane and Polar Representation
5 Linear Inequalities
- Linear Inequations
- Definition: Linear lnequations
- Signs of Inequality
- Definition: Replacement Set / Domain of Variable
- Definition: Solution Set
- Properties
- Representation of Inequalities
- Graphical Solution of Linear Inequalities in Two Variables
Linear Inequalities - Graphical Representation of Linear Inequalities in Two Variables
- Solution of System of Linear Inequalities in Two Variables
6 Permutations and Combinations
- Fundamental Principles of Counting
- Tree Diagram
- Addition Principle
- Multiplication principle
- Permutations
- Permutation
- Permutation of repeated things
- Permutations when all the objects are not distinct
- Number of Permutations Under Certain Restricted Conditions
- Circular Permutations
- Combination
- nCr , nCn =1, nC0 = 1, nCr = nCn–r, nCx = nCy, then x + y = n or x = y, n+1Cr = nCr-1 + nCr
- When all things are different
- When all things are not different.
- Mixed problems on permutation and combinations.
- Introduction of Permutations and Combinations
- Permutation Formula to Rescue and Type of Permutation
- Without repetition
- With repetition
- Smaller Set from Bigger Set
- Derivation of Formulae and Their Connections
Derivation of formulae for nPr and nCr and their connections
- Simple Applications of Permutations and Combinations
- Factorial N (N!) Permutations and Combinations
6 Principle of Mathematical Induction
- Motivation
- Motivating the Application of the Method by Looking at Natural Numbers as the Least Inductive Subset of Real Numbers
- Principle of Mathematical Induction
7 Binomial Theorem
- Introduction of Binomial Theorem
- History of Binomial Theorem
- Binomial Theorem for Positive Integral Indices
- Statement and Proof of the Binomial Theorem for Positive Integral Indices
- Proof of Binomial Therom by Induction
- Special Case in Binomial Therom
- Pascal's Triangle
- Binomial theorem for any positive integer n
- Some special cases-(In the expansion of (a + b)n)
- General and Middle Terms
- Proof of Binomial Therom by Pattern
- Proof of Binomial Therom by Combination
- Rth Term from End
- Binomial Theorem
- Simple Applications of Binomial Theorem
8 Sequence and Series
- Arithmetic Progression (A.P.)
- Geometric Progression (G. P.)
- Nth Term of Geometric Progression (G.P.)
- General Term of a Geometric Progression (G.P.)
- Sum of First N Terms of a Geometric Progression (G.P.)
- Sum of infinite terms of a G.P.
- Geometric Mean (G.M.)
- Relationship Between A.M. and G.M.
- Relation Between Arithematic Mean (A.M.) and Geometric Mean (G.M.)
- Sum to' n' Terms of a Geometric Progression
- Sum to infinite terms of a G.P.
- Sequence, Series, and Progression
3: Coordinate Geometry
CBSE Class 11 Mathematics Syllabus
9 Straight Lines
- Concept of Slope (or, gradient)
- Slope of a Line Or Gradient of a Line.
- Parallelism of Line
- Perpendicularity of Line in Term of Slope
- Collinearity of Points
- Slope of a line when coordinates of any two points on the line are given
- Conditions for parallelism and perpendicularity of lines in terms of their slopes
- Angle between two lines
- Collinearity of three points
- Various Forms of the Equation of a Line
- Equation of a Straight Line
- Inclination of a line
- Slope of a line
- Perpendicular Lines
- Angle between intersecting lines
- Different Forms of an equation of a straight line
- General form to other forms
- Brief Recall of Two Dimensional Geometry from Earlier Classes
- Equation of Family of Lines Passing Through the Point of Intersection of Two Lines
- Distance of a Point from a Line
- Introduction of Distance of a Point from a Line
- Distance between two parallel lines
- Shifting of Origin
10 Conic Sections
- Sections of a Cone
- Introduction of Parabola
- Parabola
- Introduction of Ellipse
- Ellipse
- Latus Rectum
- Latus Rectum in Ellipse
- Latus Rectum
- Introduction of Hyperbola
- Hyperbola
- Advanced Concept of Circle
- Standard Equation of a Circle
11 Introduction to Three-dimensional Geometry
- Three - Dimensional Geometry
- Coordinate Axes and Coordinate planes
Coordinate Axes and Coordinate Planes in Three Dimensions
- Distance Between Two Points
- Distance Between Two Points in 3-D Space
- Coordinate Axes and Coordinate planes
- Section Formula
- Formula
- Division of Line Segment
- Proof
- Examples
- Three Dimessional Space
4: Calculus
CBSE Class 11 Mathematics Syllabus
12 Limits and Derivatives
- Intuitive Idea of Derivatives
- Introduction of Limits
Left hand Limits
Right Hand Limis
- Concept of Calculus
- Introduction
- Histotical Background
- Definition: Calculus
- Two Main Branches of Calculus
- Significance
- Concept of Limits
- Derivative Introduced as Rate of Change Both as that of Distance Function and Geometrically
- Limits of Logarithmic Functions
- Limits of Exponential Functions
- Limits of Trigonometric Functions
- Introduction of Derivatives
- The Concept of Derivative
- Derivative of Slope of Tangent of the Curve
- Theorem for Any Positive Integer n
- Graphical Interpretation of Derivative
- Derive Derivation of x^n
`x^n`
5: Mathematical Reasoning
CBSE Class 11 Mathematics Syllabus
1 Mathematical Reasoning
- Mathematically Acceptable Statements
- New Statements from Old
- Special Words Or Phrases
- Implications
- Introduction of Validating Statements
- Validating the Statements Involving the Connecting Words
- statement with “and”
- Statements with “or”
- “Implies”
- “Implied by”
- Statements with “If then”
- Statements with “if and only if”
- Validation by Contradiction
- Mathematical Reasoning
- Difference Between Contradiction, Converse and Contrapositive
- Consolidating the Understanding
"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
6: Statistics and Probability
CBSE Class 11 Mathematics Syllabus
13 Statistics
- Measures of Dispersion
- Mean Deviation
- Mean deviation for grouped data
- Mean deviation for ungrouped data
- Introduction of Variance and Standard Deviation
- Measures of Dispersion > Variance and Standard Deviation
- Introduction of Analysis of Frequency Distributions
- Analysis of Frequency Distributions
- Concepts of Statistics
- Measures of Central Tendency for Different Data Types
- Introduction
- Measures
- Basic Concept of Mode
- Standard Deviation - by Short Cut Method
- Quartiles and Range in Statistics
14 Probability
- Concept of Probability
- Probability of 'Not', 'And' and 'Or' Events
- Elementary Types of Events in Probability
- Axiomatic Approach to Probability
