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

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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
  • Quadratic Equations

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