The various numbers occurring in a sequence are called its terms. The number of terms is called the length of the series
Terms of a sequence are denoted generally by a1,a2,a3,…..,ana1,a2,a3,…..,an etc., The subscripts denote the position of the term. We can choose any other letter to denote it
The nth term is the number at the nth position of the sequence and is denoted by an
The nth term is also called the general term of the sequence
A sequence can be regarded as a function whose domain is the set of natural numbers or some subset of it of the type {1, 2, 3…k}.
Many times is possible to express general term in terms of algebraic formula. But it may not be true in other cases. But we should be able to generate the terms of the sequence using some rules or theoretical scheme.
The binomial expression is an expression comprising of two terms connected by -ve or +ve sign. Equations like x + a, 2x -3y, 1x−1×3, 7x−24×3 are examples of binomial expressions. The binomial expansion of (p+q)n will have a total of (n + 1) terms. The coefficients in the binomial expansion follow a pattern called as Pascal’s triangle. The sum of exponents of ‘p’ and ‘q’ is always equal to n. Please refer Binomial Theorem Class 11 Notes for more revision notes.
Permutations and Combinations Class 11 Notes – Chapter 7
What are Permutation and Combination? When an event happens in m different ways and another event happened in n different ways, then the total happening number of events is m x n.
Equation of Permutation: If the permutation of a certain number is denoted by n with respect to time t and repetition is not allowed, then the equation is denoted by Pnrand is given by Pnr=n!/(n−r)! and 0≤r≤n.Please refer Permutations and Combinations Class 11 Notes for more revision notes.
In mathematics, an inequality is a relation that holds between two values when they are different. Solving linear inequalities is very similar to solving linear equations, except for one small but important detail: you flip the inequality sign whenever you multiply or divide the inequality by a negative. Please refer Linear Inequalities Class 11 Notes for more revision notes.
Complex Numbers and Quadratic Equations Class 11 Notes – Chapter 5
A complex number is a number that can be expressed in the form p + iq, where p and q are real numbers, and i is a solution of the equation x2=−1. −1−−−√=i or i2=−1. Examples of complex numbers: 8 – 2i, 2 +31i, 2+45i, etc. Complex numbers are denoted by ‘z’. Please refer Complex Numbers and Quadratic Equations Class 11 Notes for more revision notes.
Principle of Mathematical Induction Class 11 Notes – Chapter 4
What is 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 prove a wide range of statements in which we analyze the legitness of the case. The set should be denumerable in order for mathematical induction to work with an infinite set, meaning that it should be having a one-to-one correspondence between the elements of the set in question and the set of positive integers. Please refer Principle of Mathematical Induction Class 11 Notes for more revision notes.
Trigonometric Functions Class 11 Notes – Chapter 3
Trigonometry deals with the relationship between the angles and sides of the triangles. It is derived from ‘trigon’ and ‘metron’ (Greek words) that 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]. Please refer Trigonometric Functions Class 11 Notes for more revision notes.
Relations and Functions Class 11 Notes – Chapter 2
Ordered pairs. Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the set of reals with itself (upto R x R x R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special type of relation. Please refer Relations and Functions Class 11 Notes for more revision notes.
Sets are defined as a well-defined collection of objects. A set without any element is termed as an empty set. A set comprising of definite elements is termed as a finite set whereas if the set has an indefinite number of elements it is termed an infinite set. Two sets P and Q are equal if they have exactly the same number of elements. A set P is a subset of a set Q if all the elements of P are also an element of Q. A power set [A(P)] of a set P comprising of all subsets of P. The union of sets P and Q is a set comprising of all elements which are either in sets P or Q. The intersection of sets P and Q is a set comprising of all common elements of sets P and Q. Similarly, the difference of sets P and Q in the same order is a set comprising of elements belonging to P but not Q. Please refer Sets Class 11 Notes for more revision notes.
CBSE Class 11 Maths Notes Chapter wise – Free PDF Download
The students can never underestimate the significance of revision. It is necessary for students to plan their revision well in advance so that they don’t miss out the concepts important for the examination point of view. Besides, for math students, it is difficult for them to score well in the subject by simply reading and memorizing the concepts. Students are often advised to revise all the important theorems, concepts and formulas regularly and also practice several problems related to each and every concept. Keeping this in mind and understanding the need of the students we are providing an ultimate set of revision notes covering almost all the necessary concepts and formulas.
These class 11 maths notes have been designed in the most simple and precise format covering almost all the domains like differential calculus, algebra, trigonometry, and coordinate geometry. Preparing from these notes could help the students to fetch excellent marks in their class 11th as well as competitive examinations like JEE Mains and JEE Advanced. The CBSE notes that we are offering will help the students to grasp any concept quickly and revise thoroughly before the exams. These notes have been created by subject experts and offer a huge advantage as students will be fully prepared to tackle any type of questions that may be asked in the exams.
CBSE Revision Notes 