CBSE Class 11 Mathematics syllabus: The CBSE establishes the syllabus for class 11 Mathematics. There are a total of 5 units in class 11 Maths syllabus. In each unit, students have to cover multiple chapters, which contributes to 80 marks in the theory examination. Class 11 mathematics syllabus serves as an essential tool for students, aiding them in their exam preparations.
Before starting to cover the chapters included in class 11 Mathematics, students are recommended to review the syllabus and get familiar with the marks distribution. The syllabus acts as a guide for class 11 students, facilitating them in assessing their progress by identifying the topics they have covered and those yet to be covered.
CBSE Class 11 Mathematics Syllabus NCERT
The CBSE curriculum for class 11 Mathematics is categorised into five units. For the mathematics theory examination, questions are asked from these five units, which carry 80 marks. The remaining 20 marks are covered in the internal assessments.
The table below shows the CBSE class 11 maths chapter list along with mark distribution:
Unit Name |
Chapters |
Marks |
Sets and Functions |
Sets |
23 |
Relations and Functions |
||
Trigonometric Functions |
||
Algebra |
Complex Number and Quadratic Equations |
25 |
Linear Inequalities |
||
Permutation and Combinations |
||
Binomial Theorem |
||
Sequence and Series |
||
Coordinate Geometry |
Straight Lines |
12 |
Conic Sections |
||
Introduction to 3D Geometry |
||
Calculus |
Limits and Derivatives |
08 |
Statistics and Probability |
Statistics |
12 |
Probability |
||
Internal Assessment |
20 |
CBSE Class 11 Mathematics Syllabus Chapter Wise
Here is a detailed overview of the topics covered in each chapter of the class 11 Mathematics syllabus:
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Sets
This section covers the understanding of sets and their depictions, including discussions on finite/infinite sets, empty sets, equivalent sets, and subsets. It also includes comprehension of the universal set, utilisation of Venn diagrams, and operations such as intersection, union, and difference of sets.
Here are all the topics covered in class 11 Mathematics Sets chapter:
Topics Covered in Sets |
Sets and their Representations |
Finite and Infinite sets |
Empty sets |
Equal sets |
Subsets of a set |
Venn diagrams |
Power set |
Universal set |
Difference of sets |
Union and Intersection of sets |
Complement of set |
Properties of Complement sets |
Problems based on sets |
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Relations & Functions
This is the second chapter of class 11 Maths. The topics covered in this chapter are as follows:
Topics Covered in Relations & Functions |
Ordered pairs |
Cartesian product of sets |
Number of elements in Cartesian product |
Function as a special relation |
Pictorial representation of function |
Real-valued functions, domain, and range |
Operations on functions |
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Trigonometric Functions
Trigonometry is a crucial chapter in class 11 Maths, which deals with the study of angles and sides of a triangle. Various Trigonometric functions are used to define these relations.
The table below presents the crucial topics covered in class 11 Trigonometric Functions:
Topics Covered in Trigonometric Functions |
Positive and negative angles |
Measuring angles in radians and in degrees |
Definition of trigonometric functions |
sin^2(x) + cos^2(x) = 1, for all x |
Signs of trigonometric functions |
Domain and range of trigonometric functions |
Expressing sin (x±y) and cos (x±y) in terms of sin(x), sin(y), cos(x), and cos(y) |
Identities related to cos(2x), sin(2x), tan(2x), cos(3x), sin(3x), and tan(3x) |
General solution of trigonometric equations |
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Complex Numbers and Quadratic Equations
Class 11 Maths chapter Complex Numbers and Quadratic Equations includes topics such as Algebraic properties, square root of complex numbers, and more. Here is a comprehensive overview of the topics covered in this chapter:
Topics Covered in Quadratic Equations |
Need of Complex Numbers |
Argand Plane |
Properties of Complex Numbers |
Basic theorem of Algebra |
Square root of complex number |
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Linear Inequalities
In this chapter of class 11 maths, students learn to solve problems related to inequalities in one and two variables. Additionally, they need to understand the representation of inequalities through graphs. Major topics covered in the Linear Inequalities chapter include the following:
Topics Covered in Linear Inequalities |
Understanding Linear Inequalities |
Solution of Linear Inequalities in one variable |
Solution of Linear Inequalities in two variables |
Graphical solution of Linear Inequalities |
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Permutations and Combinations
This chapter deals with the fundamental concept of counting. Additionally, students need to cover the following topics:
Topics Covered in Permutation and Combinations |
Basic principle of counting |
Factorial n |
(n!) permutation and combination |
Derivation and application of formulae |
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Binomial Theorem
Crucial topics covered in this chapter of class 11 Mathematics are the following:
Topics Covered in Binomial Theorem |
Historical perspective |
Pascal’s Triangle |
Proof of binomial theorem for positive integral indices |
General term of Binomial expansion |
Simple applications |
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Sequence and Series
In this chapter students have to cover multiple topics such as arithmetic progression, geometric progression, geometric mean, and more. Here is a detailed view of all the topics included in the sequence and series chapter of class 11 Mathematics:
Topics Covered in Sequence and Series |
Sequence and Series |
Arithmetic Progression |
Arithmetic Mean |
Geometric Progression |
Arithmetic and Geometric series |
General terms of G.P. |
Sum of n terms |
Geometric mean |
Relation between A.M. and G.M. |
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Straight Lines
This is an important chapter of class 11 Mathematics, which includes topics such as the slope of a line, the angle between two lines, the equation of lines, etc. Here is a list of topics included in the class 11 maths chapter, Straight lines:
Topics Covered in Straight Lines |
Review of 2-D Geometry |
Shifting origin |
Slope of line |
Angle between lines |
Different forms of equations |
Equation of lines going through the intersection point of two lines |
General equation of line |
Distance of a specific point from a line |
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Conic Sections
Major topics covered in the Conic Sections of class 11 Maths include the following:
Topics Covered in Conic Sections |
Understanding sections of a cone - circle, parabola, ellipse, hyperbola |
Standard equations and simple properties of parabola, ellipse, hyperbola |
Standard equation of circle |
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Introduction to 3-D Geometry
In this chapter, students understand the basic concepts of 3-D geometry. Topics included in this chapter chapter of class 11 Mathematics are:
Topics Covered in Introduction to 3-D Geometry |
Coordinates of a point |
Coordinate planes and coordinate axes in 3 dimension |
Distance between two points |
Section formula |
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Limits and Derivatives
This chapter of class 11 Maths includes topics such as the intuitive idea of limit, trigonometric functions, logarithmic functions, slope of tangent, quotient and product of functions, etc.
The table below presents all the topics covered in class 11 Limits and Derivatives:
Topics Covered in Limits and Derivatives |
Introduction of derivatives as rate of change |
Intuitive idea of limit |
Limits of polynomials and rational functions |
Definition of derivatives |
Slope of tangent of a curve |
Derivative of difference, sum, quotient and product of functions |
Derivative of trigonometric and polynomial functions |
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Statistics
Statistics is a crucial chapter of class 11 Mathematics. Every year questions are asked from the topics covered in this chapter. Students must focus on the following sections of class 11 Statistics to score well in the exam:
Topics Covered in Statistics |
Measures of Dispersion, such as Mean deviation, variance, range, and standard deviation |
Analysis of frequency distributions |
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Probability
This chapter deals with determining the occurrence of an event. Students must focus on understanding and practising the following topics covered in the Probability chapter:
Topics Covered in Probability |
Random experiment- outcomes |
Occurrence of events, exhaustive events |
Axiomatic probability |
Probability of an event |
CBSE Class 11 Mathematics Syllabus Deleted Topics
CBSE keeps revising the class 11 maths syllabus by including and deleting certain topics. The table below presents the deleted topics of class 11 Mathematics:
Chapter |
Deleted Topics |
Chapter 1: Sets |
|
Chapter 3: Trigonometric Functions |
|
Chapter 4: Principle of Mathematical Induction |
|
Chapter 5: Complex No. and Quadratic Equations |
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Chapter 6: Linear Inequalities |
|
Chapter 8: Binomial Theorem |
|
Chapter 9: Sequence and Series |
|
Chapter 10: Straight Lines |
|
Chapter 12: Introduction to Three-dimensional Geometry |
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Chapter 13: Limits and Derivatives |
|
Chapter 14: Mathematical Reasoning |
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Chapter 15: Statistics |
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Chapter 16: Probability |
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CBSE Class 11 Mathematics Syllabus FAQs
Q1. Is class 11 maths tough?
Ans. Class 11 maths is relatively more challenging than class 10. However, with strategic preparation and regular practice, students can qualify with a high score.
Q2. How many chapters are in Maths class 11?
Ans. Class 11 Mathematics syllabus has a total of 16 chapters.
Q3. Which chapter of maths class 11 is hardest?
Ans. Permutation and Combination, circle, and parabola are considered the toughest topics of class 11 maths.
Q4. Which is the most crucial unit of class 11 maths?
Ans. Algebra is the most crucial unit of class 11 maths.
Q5. Which chapter is easiest in class 11 maths?
Ans. Relations and functions, trigonometry, linear inequalities, and limits are the easiest chapters in class 11 maths.