CBSE Class 11 Maths Syllabus

CBSE Class 11 Maths Syllabus

1. Sets

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

2. Relations and functions

  • Introduction
  • Cartesian Product of Sets
  • Relations
  • Functions

3. Trigonometric Functions

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

4. Principle of Mathematical Induction

  • Introduction
  • Motivation
  • The Principle of Mathematical Induction

5. Complex Numbers and Quadratic Equations

  • Introduction
  • Complex Numbers
  • Algebra of Complex Numbers
  • The Modulus and the Conjugate of a Complex Number
  •  Argand Plane and Polar Representation
  •  Quadratic Equations

6.  Linear Inequalities

  • Introduction
  • 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

7.  Permutations and Combinations

  • Introduction
  •  Fundamental Principle of Counting
  •  Permutations
  • Combinations

8.   Binomial Theorem

  •  Introduction
  •  Binomial Theorem for Positive Integral Indices
  • General and Middle Terms   

9. Sequences and Series

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

10.  Straight Lines

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

11. Conic Sections

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

12. Introduction to Three Dimensional Geometry

  • Introduction
  • Coordinate Axes and Coordinate Planes in Three Dimensional Space
  • Coordinates of a Point in Space
  • Distance between Two Points
  • Section Formula

13.  Limits and Derivatives

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

14.  Mathematical Reasoning

  • Introduction
  • Statements
  • New Statements from Old
  • Special Words/Phrases
  • Implications
  • Validating Statements

15. Statistics

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

16.  Probability

  • Introduction
  •  Random Experiments
  •  Event
  •  Axiomatic Approach to Probability

 

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