**CBSE Class 11 Maths Syllabus 2021-22**

Class 11 Maths exams, requires collecting the study material such as NCERT Textbook, previous year papers, sample papers etc. Class 11 Maths Syllabus

Knowing the syllabus is the first step towards preparation for any exams. It provides brief information on the topics that students will study in Maths subject.

Students can get the complete NCERT Syllabus for Class 11 Maths in PDF format for free downloading by clicking on the link below. The Syllabus has also provided the number of periods required for completing a particular unit.

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**Download NCERT Syllabus for Class 11 Maths PDF**

Have a look at the table below. Here chapters have been categorised in separate units.

CBSE Maths Notes For Class 11 |

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 – Sequences 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 (Complete chapter removed from syllabus for 2020-21 academic session) |

Chapter 15 – Statistics |

Chapter 16 – Probability |

**Chapter 1 – Sets**

**Sets, **in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set.

**Chapter 2 – Relations and Functions**

If P and Q are non-empty sets then the set of all ordered pairs (a, b) is called the Cartesian product of A and B [were a ∈ P and b ∈ Q]. It can be represented symbolically as P × Q = {(a, b) | a ∈ P and b ∈ Q}.

**Chapter 3 – Trigonometric Functions**

Trigonometry deals with the relationship between the angles and sides of the triangles. It is derived from ‘trigon’ and ‘metron’ (Greek words) which means the measurement of the sides of a triangle. An angle is the measurement of the rotation of a revolving line w.r.t to a fixed-line. The angle has +ve or -ve values depending on its rotation [-ve for clockwise rotation and +ve for anti-clockwise rotation].

**Chapter 4 – Principle of Mathematical Induction**

Mathematical induction is a specialized form of working on different cases and coming up with observations. Induction is the compilation from a particular set of facts. This method is used to determine a wide range of statements in which we analyze the legitness of the case. The set should be denumerable for mathematical induction to work with an infinite set, meaning that it should have a one-to-one correspondence between the elements of the set in question and the set of positive integers.

In simple terms, this method expresses the set in the form an implied list of discrete elements such as {1, 2, 3, 4, …}.

**Chapter 5 – Complex Numbers and Quadratic Equations**

The Chapter Complex Numbers and Quadratic Equations includes different critical mathematical theorems and formulae.

**Chapter 6 – Linear Inequalities**

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, ‘<’, ‘>’, ‘≤’ or ‘≥’. These values could be numerical or algebraic or a combination of both. For example, 10<11, 20>17 are examples of numerical inequalities and x>y, y<19-x, x ≥ z > 11 are examples of algebraic inequalities (also called literal inequalities).

The symbols which represent inequalities are:

- < (less than)
- > (greater than)
- ≤ (less than or equal to)
- ≥ (greater than or equal to)
- ≠ (not equal to)

**Chapter 7 – Permutations and Combinations**

**Permutation and combination** are the ways to represent a group of objects by selecting them in a set and forming subsets. It defines the various ways to arrange a certain group of data. When we select the data or objects from a certain group, it is said to be permutations, whereas the order in which they are represented is called combination. Both concepts are very important in Mathematics.

**Chapter 8 – Binomial Theorem**

An expression consisting of two terms, connected by + or – sign is called binomial expression.

**Chapter 9 – Sequences and Series**

In **Sequences and Series class 11** **chapter 9** deals with the study of sequences which follow a specific pattern called progression. In this chapter, the concepts such as arithmetic progression (A.P), geometric mean, arithmetic mean, the relationship between A.M. and G.M., special series in forms of the sum to n terms of consecutive natural numbers, sum to n terms of squares and cubes of natural numbers will also be studied.

**Chapter 10 – Straight Lines**

In straight lines class 11, the basic concepts of lines such as slopes, angle between two lines, various forms of lines, the distance between lines are given in detail.

A straight line is defined as a line traced by a point travelling in a constant direction with zero curvature. In other words, the shortest distance between two points is called a straight line.

**Chapter 11 – Conic Sections**

**Conic sections** are one of the important topics in Geometry. A curve, generated by intersecting a right circular cone with a plane is termed as **‘conic’**. It has distinguished properties in Euclidean geometry. The vertex of the cone divides it into two nappes referred to as the upper nappe and the lower nappe.

**Chapter 12 – Introduction to Three Dimensional Geometry**

A line passing through the origin making angles p, q and r with x, y, z-axes then, the cosine of these angles, namely, cos p, cos q, and cos r are known as direction cosines of the line L. Any 3 numbers proportional to the direction cosines are known as the direction ratios of that line. If x, y, z are direction cosines and p, q, r are direction ratios of a line, then a = λl, b = λm, and c = λn, [where λ belongs to R].

**Chapter 13 – Limits and Derivatives**

**l** is called the limit of the function **f(x)** if the equation is given as **x → a, f(x) → l**, and this is symbolically written for all the limits, the function should assume at a given point x = a. **x** could approach a number in two ways, either from the left or from the right, i.e., all the values of** x** near **a **could be greater than **a **or could be less than** a**.

**Chapter 14 – Mathematical Reasoning**

In mathematics, there are two different kinds of reasoning :

- Inductive Reasoning
- Deductive Logic Reasoning.

Logic is the study that is done with the method of reasoning. Along with proving the theorem, it provides us with the rules for determining the validity of a given argument.

**Chapter 15 – Statistics**

Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In other words, it is a mathematical discipline to collect, summarize data.

**Chapter 16 – Probability**

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen. For example, when we flip a coin in the air, what is the possibility of getting a head? The answer to this question is based on the number of possible outcomes. Here the possibility is either head or tail will be the outcome. So, the probability of a head to come as a result is 1/2.

**CBSE Class 11 Deleted Portion of Syllabus for 2020-2021**

**Check subject-wise details of the deducted portion of CBSE Class 9 syllabus from the following links:**

**JEE and NEET important links**

**More Reference Links –**

**Other National and International Level Olympiads**

AI Olympiad | International Artificial Intelligence Olympiad 2020-21 |

Coding Olympiad | International Coding Olympiad 2020-21 |

IMO | International Maths Olympiad 2020-21 |

ISO | International Science Olympiad 2020-21 |

KVPY | Kishore Vaigyanik Protsahan Yojana |

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