# 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!

## 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

## 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:

## 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

## 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

## Class 11 Maths Syllabus: Deleted Portion

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

## 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
• 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-

## 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:

## 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.

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