# Maths 11th std

## Online Study Material, Lecturing Notes, Assignment, Reference, Wiki and important questions and answers ## Chapter 1 Sets Relations and Functions

=> Sets, Relations and Functions: Introduction
=> Sets
=> Cartesian Product
=> Constants and Variables, Intervals and Neighbourhoods
=> Relations
=> Functions
=> Graphing Functions using Transformations

## Chapter 2 Basic Algebra

=> Basic Algebra: Introduction
=> Real Number System
=> Absolute Value
=> Linear Inequalities
=> Quadratic Functions
=> Polynomial Functions
=> Rational Functions
=> Exponents and Radicals
=> Logarithm
=> Application of Algebra in Real Life

## Chapter 3 Trigonometry

=> Trigonometry: Introduction
=> A recall of basic results
=> Radian Measure
=> Trigonometric functions and their properties
=> Trigonometric Identities
=> Trigonometric equations
=> Properties of Triangle
=> The Law of Sines or Sine Formula
=> Area of a triangle (Heron’s Formula )
=> Application to Triangle
=> Inverse Trigonometric Functions

## Chapter 4 Combinatorics and Mathematical Induction

=> Combinatorics and Mathematical Induction: Introduction
=> Fundamental principles of counting
=> Factorials
=> Permutations
=> Combinations
=> Mathematical induction

## Chapter 5 Binomial Theorem Sequences and Series

=> Binomial Theorem, Sequences and Series: Introduction
=> Binomial Theorem
=> Particular cases of Binomial Theorem
=> Finite Sequences
=> Finite Series
=> Infinite Sequences and Series

## Chapter 6 Two Dimensional Analytical Geometry

=> Two Dimensional Analytical Geometry: Introduction
=> Locus of a point
=> Straight Lines
=> Angle between two straight lines
=> Pair of Straight Lines

## Chapter 7 Matrices and Determinants

=> Matrices and Determinants : Introduction
=> Matrices
=> General form of a matrix
=> Types of Matrices
=> Equality of Matrices
=> Algebraic Operations on Matrices
=> Properties of Matrix Addition, Scalar Multiplication and Product of Matrices
=> Operation of Transpose of a Matrix and its Properties
=> Symmetric and Skew-symmetric Matrices
=> Determinants of Matrices of different order
=> Properties of Determinants
=> Application of Factor Theorem to Determinants
=> Product of Determinants
=> Relation between a Determinant and its Cofactor Determinant
=> Determinants: Area of a Triangle
=> Determinants: Singular and non-singular Matrices

## Chapter 8 Vector Algebra I

=> Vector Algebra: Introduction
=> Scalars and Vectors
=> Representation of a vector and types of vectors
=> Algebra of Vectors
=> Position vectors
=> Resolution of Vectors
=> Direction Cosines and Direction Ratios
=> Product of Vectors
=> Scalar product and Properties of Scalar Product
=> Vector Product and Properties of Vector Product

## Chapter 9 Differential Calculus Limits and Continuity

=> Differential Calculus - Limits and Continuity
=> The calculation of limits
=> One sided limits: left-hand limit and right-hand limit
=> Theorems on limits
=> Infinite Limits
=> Limits at infinity
=> Limits of rational functions
=> Applications of limits
=> Sandwich Theorem
=> Two special Trigonometrical limits
=> Some important other limits
=> Continuity - Differential Calculus
=> Examples of functions Continuous at a point
=> Algebra of continuous functions
=> Removable and Jump Discontinuities - Differential Calculus

## Chapter 10 Differential Calculus Differentiability and Methods of Differentiation

=> Differential Calculus- Differentiability and Methods of Differentiation
=> The concept of derivative
=> The tangent line problem - The concept of derivative
=> Velocity of Rectilinear motion - The concept of derivative
=> The derivative of a Function - The concept of derivative
=> One sided derivatives (left hand and right hand derivatives) - The concept of derivative
=> Differentiability and Continuity
=> Differentiation Rules
=> Derivatives of basic elementary functions - Differentiation Rules
=> Examples on Chain Rule (Differentiation Rules)
=> Implicit Differentiation
=> Logarithmic Differentiation
=> Substitution method - Differential Calculus
=> Derivatives of variables defined by parametric equations
=> Differentiation of one function with respect to another function
=> Higher order Derivatives

## Chapter 11 Integral Calculus

=> Integral Calculus: Introduction
=> Newton Leibnitz Integral
=> Basic Rules or Formula of Integration
=> Integrals of the Form (ax + b)
=> Properties of Integrals
=> Simple applications of Integral Calculus
=> Methods of Integration
=> Decomposition Methods of Integration
=> Decomposition by Partial Fractions - Integration Method
=> Integration Method of substitution or change of variable
=> Important Results of Integral Calculus
=> Integration by parts
=> Bernoulli’s formula for Integration by Parts
=> Integrals of the form e pow(ax) cos bx and e pow(ax) sin bx
=> Integration of Rational Algebraic Functions

## Chapter 12 Introduction to Probability Theory

=> Introduction to Probability Theory
=> Basic definitions for Probability Theory
=> Finite sample space - Probability Theory
=> Classical definition (A priori) of probability (Bernoulli’s principle of equally likely)
=> Axiomatic approach to Probability
=> Odds - Probability Theory
=> Some basic Theorems on Probability
=> Conditional Probability
=> Total Probability of an event
=> Bayes’ Theorem

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