# CBSE CLASS 11 MATHS SYLLABUS

Chapter NoChapter NameNo of Session (1 Session = 1 Hour)
Total Number Of Session60
Chapter 1Sets3
Chapter 2Relations and Functions4
Chapter 3Trigonometric Functions5
Chapter 4Principle of Mathematical Induction2
Chapter 5Complex Numbers5
Chapter 7Linear Inequalities3
Chapter 8Permutations and Combinations4
Chapter 9Binomial Theorem3
Chapter 10Sequences and Series4
Chapter 11Straight Lines3
Chapter 12Conic Sections6
Chapter 13Introduction to Three Dimensional Geometry2
Chapter 14Limits and Derivatives5
Chapter 15Mathematical Reasoning2
Chapter 16Statistics2
Chapter 17Probability3

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## Chapter 1: Set

1.1 Definition of Set

1.2 Representation of Set

1.3 Types of Sets: Empty, Finite, Infinite, Equal, Null, Void

1.4 Definition of Subset

1.5 Finding Subset of Set and their Number

1.6 Intervals and their Representation

1.7 Power Set and Finding Number of Elements in Power Set

1.8 Universal Set and their Representation

1.9 Venn Diagram of Set

1.10 Operation of Set: Union, Intersection, Difference

1.11 Complement of Set

1.12 Important Laws of Set: Complement, De-Morgan etc

1.13 Word Problems on Union and Intersection of Two Sets

## Chapter 2: Relations and Functions

2.1 Cartesian Product of Sets

2.2 Definition of Relations and Number of Relation

2.3 Concept of Domain, Range and Co-Domain

2.4 Definition of Function

2.5 Real Valued Function

2.6 Identity Function and Their Graph

2.7 Constant Function and Their Graph

2.8 Quadratic Function and Their Graph

2.9 Cubic Function and Their Graph

2.10 Rational Function and Their Graph

2.11 Modulus Function and Their Graph

2.12 Signum Function and Their Graph

2.13 Greatest Integer Function and Their Graph

2.14 Algebra of Real Function

2.15 Finding the Domain and Range of the Function

## Chapter 3: Trigonometric Function

3.1 Introduction of Angle and their Measurement

3.2 Radian Measurement and their Mathematical Definition

3.3 Relation Between Degree and Radian and their Conversion

3.4 Trigonometric Function and Identities

3.5 Sign of Trigonometric Function in Different Quadrant

3.6 Domain and Range of Trigonometric Function

3.7 Trigonometric Function of Sum and Difference of Two Angles

3.8 Trigonometric Function of Double, Triple and Half of the Angles

3.9 Some Important Formula

3.10 Trigonometric Equations and their Principle and General Solutions

3.11 Some Important Exercise

## Chapter 4: Mathematical Induction

4.1 Introduction of Statements

4.2 Introduction of Mathematical Induction

4.3 Principle of Mathematical Induction

## Chapter 5: Complex Number

5.1 Introduction of Square Root of Negative Numbers

5.2 Power of Iota (i)

5.3 Complex Numbers

5.4 Algebra on Complex Numbers

5.5 Finding Square Root of Negative Real Number

5.6 Complex Number Based Identities

5.7 Modulus, Argument and Conjugate of a Complex Numbers

5.8 Multiplicative Inverse of Complex Numbers

5.9 Introduction of Argand Plane and Polar Co-ordinate

5.10 Polar Representation of Complex Numbers

6.3 Sum and Product of Roots of Quadratic Equation

## Chapter 7: Linear Inequalities

7.1 Introduction of Inequalities

7.2 Algebraic Solution of Linear Inequalities in One Variable and Graphical Representation

7.3 Graphical Solution of Linear Equation in Two Variables

7.4 Solution of System of Linear Inequalities in Two Variables

## Chapter 8: Permutation and Combination

8.1 Fundamental Principle of Counting

8.2 Introduction of Permutation

8.3 Permutation When All Objects Are Distinct

8.4 Introduction of Factorial

8.5 Formula for Permutation

8.6 Permutation When All Objects Are NOT Distinct

8.7 Combination

8.8 Difference Between Permutation and Combination

8.9 Formula for Combination

8.10 Important Formula and Concept Related to Combination

## Chapter 9: Binomial Theorem

9.1 Introduction of Binomial Theorem

9.2 Binomial Theorem for Positive Index: its Formula and Proof

9.3 Some Special Cases in Formula of Binomial Theorem

9.4 General and Middle Term Concept

9.5 Independent Term Concept

## Chapter 10: Sequence and Series

10.1 Difference Between Sequence, Progression and Series

10.2 Terms of a Sequence

10.3 Introduction of Arithmetic Progression (AP)

10.4 General Term of an AP

10.5 Sum of n Terms of an AP

10.6 Arithmetic Mean (AM)

10.7 Introduction of Geometric Progression (GP)

10.8 General Term of an GP

10.9 Sum of n Terms of an GP

10.10 Geometric Mean (GM)

10.11 Relationship Between AM and GM

10.12 Sum of First n Natural Numbers

10.13 Sum of Square of First n Natural Numbers

10.14 Sum of Cube of First n Natural Numbers

10.15 Sum to n Terms of Special Series

## Chapter 11: Straight Lines

11.1 Revision of Co-ordinate Geometry Studied in Previous Class

11.2 Slope of Line

11.3 Condition for Perpendicular and Parallelism

11.4 Angle Between Two Lines

11.5 Collinearity of Three Points by Using Slopes

11.6 Various Forms of Equation of Line

11.7 General Equation of Line and its Different Forms

11.8 Distance of a Point from a Line

11.9 Distance Between Two Parallel Lines

## Chapter 12: Conic Section

12.1 Introduction of Conic Section

12.2 Section of Cone: Generated and Degenerated Conic Section

12.3 Condition for Circle, Parabola, Ellipse and Hyperbola

12.4 Circle and Its Standard Equation and Other Concepts

12.5 Parabola and its Standard Equation and Other Concepts

12.6 Ellipse and its Standard Equation and Other Concepts

12.7 Hyperbola and its Standard Equation and Other Concepts

## Chapter 13: Three Dimensional (3D) Geometry

13.1 Co-ordinate Axes and Co-ordinate Planes in 3D

13.2 Co-ordinate of a Point in 3D Space

13.3 Distance Between Two Points in 3D

13.4 Section Formula in 3D

## Chapter 14: Limits and Derivative

14.1 Concept of Limits

14.2 Left Hand Limit (LHL) and Right Hand Limit (RHL)

14.3 Algebra of Limits

14.4 Limits of Polynomial and Rational Function

14.5 Important Formula of Limit

14.6 Limit of Trigonometric Function

14.7 Introduction of Derivatives

14.8 Definition of Derivative of a Function f(x)

14.9 Algebra of Derivative of Function

14.10 Derivative of Polynomial and Trigonometric Function

## Chapter 15: Mathematical Reasoning

15.1 Introduction of Statement

15.2 Negative of Statement

15.3 Compound Statement

15.4 Special Words and Phrases

15.5 Quantifiers

15.6 Implications

15.7 Contrapositive and Converse

15.8 Validating Statement

## Chapter 16: Statistics

16.1 Introduction of Statistics

16.2 Measures of Dispersion: Range, Quartile Deviation, Mean Deviation, Standard Deviation

16.3 Mean Deviation of Grouped and Ungrouped Data

16.4 Variance and Standard Deviation

16.5 Standard Deviation of Discrete Frequency Distribution

16.6 Standard Deviation of Continuous Frequency Distribution

16.7 Coefficient of Variance

## Chapter 17: Probability

17.1 Definition of Random Experiment, Outcomes, Sample Space, Event etc

17.2 Types of Events

17.3 Algebra of Events

17.4 Mutually Exclusive Event

17.5 Exhaustive Event

17.6 Axiomatic Approach to probability

17.7 Probability of Equally Likely Outcomes

17.8 Important Concept of Probability

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