Mathematics 11 Mathematics 11

UNIT I: Sets and Functions
  • Definition
  • types
  • operations
  • Venn diagrams
  • Domain
  • range
  • composition
  • inverse
UNIT II: Algebra
  • Basic operations
  • polar form
  • Quadratic Equations: Solutions
  • nth term
  • sum of n terms
  • nth term
  • sum of n terms
  • Expansion
  • general term
  • Basic principles
  • counting methods
UNIT IV: Calculus
  • Definition
  • standard limits
  • Differentiation: Techniques
  • derivatives of standard functions
  • applications
  • Applications: Rate of change
  • tangents
  • normals
UNIT V: Statistics and Probability
  • Statistics: Mean, median, mode, variance, standard deviation
  • probability axioms, conditional probability
UNIT VI: Linear Inequalities
  • Linear Inequalities in Two Variables: Graphical representation, solutions
  • Applications: Real-life problems
UNIT VII: Conic Sections
  • Parabola: Standard form, properties
  • Ellipse: Standard form, properties
  • Hyperbola: Standard form, properties
UNIT VIII: Three-Dimensional Geometry
  • Coordinates
  • Planes and Lines: Equations of planes and lines
  • distance between a point and a plane