## NCERT/CBSE Mathematics Courses - Class 11

Here is a list of all the mathematics courses that will be produced from each chapter of the class 11 book. Essentially, the contents of each chapter will be explained in a single course. As mentioned before, we might make slight changes to the list below while creating the courses, meaning that we might mix two or more chapters as or when necessary or possible but we will not disturb the natural flow of the material.

1. Sets
2. Relations and Functions
3. Trigonometric Functions
4. Principle of Mathematical Induction
5. Complex Numbers and Quadratic Equations
6. Linear Inequalities
7. Permutations and Combinations
8. Binomial Theorem
9. Sequences and Series
10. Straight Lines
11. Conic Sections
12. Introduction to Three-dimensional Geometry
13. Limits and Derivatives
14. Mathematical Reasoning
15. Statistics
16. Probability
17. Appendix 1 - Infinite Series
18. Appendix 2 - Mathematical Modelling

In order to know details of the courses mentioned above, please click on the accordion below (if it's not already expanded).

### Sets

• Sets and Their Representations
• The Empty Set
• Finite and Infinite Sets
• Equal Sets
• Subsets
• Power Sets
• Universal Set
• Venn Diagrams
• Operations on Sets
• complement of a Set
• Practical Problems on Union and Intersection of Two Sets

### Relations and Functions

• Cartesian Product of Sets
• Relations
• Functions

### Trigonometric Functions

• Angles
• Trigonometric Functions of Sum and Difference of Two Angles
• Trigonometric Equations

### Principle of Mathematical Induction

• Motivation
• The Principle of Mathematical Induction

### Complex Numbers and Quadratic Equations

• Complex Numbers
• Algebra of Complex Numbers
• The Modulus and Conjugate of a Complex number
• Argand Plane and Polar Representation

### Linear Inequalities

• Inequalities
• Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation
• Graphical Solution of Linear Inequalities in Two Variables
• Solution of System of Linear Inequalities in Two Variables

### Permutation and Combination

• Fundamental Principle of Counting
• Permutations
• Combinations

### Binomial Theorem

• Binomial Theorem for Positive Integral Indices
• General and Middle Therms

### Sequences and Series

• Sequences
• Series
• Arithmetic Progression (A.P.)
• Geometric Progression (G.P.)
• Relationship Between A.M. and G.M.
• Sum to n Terms of Special Series

### Straight Lines

• Slope of a Line
• Various Forms of the Equation of a Line
• General Equation of a Line
• Distance of a Point from a Line

### Conic Sections

• Sections of a Cone
• Circle
• Parabola
• Ellipse
• Hyperbola

### Introduction to Three-dimensional Geometry

• Coordinate Axes and Coordinate Planes in Three-dimensional Space
• Coordinates of a Point in Space
• Distance Between Two Points
• Section Formula

### Limits and Derivatives

• Intuitive Idea of Derivatives
• Limits
• Limits of Trigonometric Functions
• Derivatives

### Mathematical Reasoning

• Statements
• New Statement from Old
• Special Words or Phrases
• Implications
• Validating Statements

### Statistics

• Measures of Dispersion
• Range
• Mean Deviation
• Variance and Standard Deviation
• Analysis of Frequency Distributions

### Probability

• Random Experiments
• Events
• Axiomatic Approach to Probability

### Appendix 1 - Infinite Series

• Binomial Theorem for any Index
• Infinite Geometric Series
• Exponential Series
• Logarithmic Series

### Appendix 2 - Mathematical Modelling

• Preliminaries
• What is Mathematical Modelling