Mathematics 11 Mathematics 11

UNIT I: Sets
  • types of sets
  • subsets
  • operations on sets
  • Venn diagrams
UNIT II: Relations and Functions
  • domain
  • co-domain
  • and range
  • Definition
  • composite functions
  • inverse of a function
UNIT III: Trigonometric Functions
  • Trigonometric ratios: Definition
  • trigonometric identities
  • trigonometric equations
  • properties of triangles
  • heights and distances
UNIT IV: Principle of Mathematical Induction
  • Statement and verification of the principle
  • applications
UNIT V: Complex Numbers and Quadratic Equations
  • Definition
  • algebraic operations
  • modulus
  • conjugate
  • polar representation
  • Quadratic equations
  • relationships between roots and coefficients
UNIT VI: Linear Inequalities
  • Linear inequalities and their solutions
  • graphical representation on number line
UNIT VII: Permutations and Combinations
  • Fundamental principle of counting
  • permutations
  • combinations
  • binomial theorem (positive integral indices only)
UNIT VIII: Sequence and Series
  • Definition
  • nth term
  • sum of first n terms
  • Definition
  • nth term
  • sum of first n terms
  • infinite GP
UNIT IX: Binomial Theorem
  • Binomial theorem for positive integral indices
  • general term
  • middle term
  • properties
UNIT X: Statistics and Probability
  • Statistics: Measures of dispersion (mean deviation, variance, standard deviation)
  • range
  • mean
  • median
  • mode
  • addition theorems of probability
  • conditional probability