Mathematics: Textbook for Class XI

✍ Scribed by NCERT

• Tongue: English
• Leaves: 476
• Category: Library

✦ Table of Contents

1. Sets
   1.1 Introduction
   1.2 Sets and their Representations
   1.3 The Empty Set
   1.4 Finite and Infinite Sets
   1.5 Equal Sets
   1.6 Subsets
   1.7 Power Set
   1.8 Universal Set
   1.9 Venn Diagrams
   1.10 Operations on Sets
   1.11 Complement of a Set
   1.12 Practical Problems on Union and Intersection of Two Sets

2.Relations and Functions
2.1 Introduction
2.2 Cartesian Product of Sets
2.3 Relations
2.4 Functions

3.Trigonometric Functions
3.1 Introduction
3.2 Angles
3.3 Trigonometric Functions
3.4 Trigonometric Functions of Sum and Difference of Two Angles
3.5 Trigonometric Equations

4.Principle of Mathematical Induction
4.1 Introduction
4.2 Motivation
4.3 The Principle of Mathematical Induction

5.Complex Numbers and Quadratic Equations
5.1 Introduction
5.2 Complex Numbers
5.3 Algebra of Complex Numbers
5.4 The Modulus and the Conjugate of a Complex Number
5.5 Argand Plane and Polar Representation
5.6 Quadratic Equations

6.Linear Inequalities
6.1 Introduction
6.2 Inequalities
6.3 Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
6.4 Graphical Solution of Linear Inequalities in Two Variables
6.5 Solution of System of Linear Inequalities in Two Variables

7.Permutations and Combinations
7.1 Introduction
7.2 Fundamental Principle of Counting
7.3 Permutations
7.4 Combinations

8.Binomial Theorem
8.1 Introduction
8.2 Binomial Theorem for Positive Integral Indices
8.3 General and Middle Terms

9.Sequences and Series
9.1 Introduction
9.2 Sequences
9.3 Series
9.4 Arithmetic Progression (A.P.)
9.5 Geometric Progression (G.P.)
9.6 Relationship Between A.M. and G.M.
9.7 Sum to n terms of Special Series

1. Straight Lines
   10.1 Introduction
   10.2 Slope of a Line
   10.3 Various Forms of the Equation of a Line
   10.4 General Equation of a Line
   10.5 Distance of a Point From a Line

2. Conic Sections
   11.1 Introduction
   11.2 Sections of a Cone
   11.3 Circle
   11.4 Parabola
   11.5 Ellipse
   11.6 Hyperbola

3. Introduction to Three Dimensional Geometry
   12.1 Introduction
   12.2 Coordinate Axes and Coordinate Planes in Three Dimensional Space
   12.3 Coordinates of a Point in Space
   12.4 Distance between Two Points
   12.5 Section Formula

4. Limits and Derivatives
   13.1 Introduction
   13.2 Intuitive Idea of Derivatives
   13.3 Limits
   13.4 Limits of Trigonometric Functions
   13.5 Derivatives

5. Mathematical Reasoning
   14.1 Introduction
   14.2 Statements
   14.3 New Statements from Old
   14.4 Special Words/Phrases
   14.5 Implications
   14.6 Validating Statements

6. Statistics
   15.1 Introduction
   15.2 Measures of Dispersion
   15.3 Range
   15.4 Mean Deviation
   15.5 Variance and Standard Deviation
   15.6 Analysis of Frequency Distributions

7. Probability
   16.1 Introduction
   16.2 Random Experiments
   16.3 Event
   16.4 Axiomatic Approach to Probability

Appendix 1: Infinite Series
A.1.1 Introduction
A.1.2 Binomial Theorem for any Index
A.1.3 Infinite Geometric Series
A.1.4 Exponential Series
A.1.5 Logarithmic Series

Appendix 2: Mathematical Modelling
A.2.1 Introduction
A.2.2 Preliminaries
A.2.3 What is Mathematical Modelling

Answers

Supplementary Material