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Optional Mathematics Syllabus

Unit 1: Algebra (16 marks)

  • Function
  • Polynomials
  • Sequence and Series
  • Linear Programming
  • Quadratic Equation and Graph

Unit 2: Limit and Continuity (4 marks)

  • Numbers and Continuity
  • Discontinuity in Graph
  • Notational Representation of Continuity

Unit 3: Matrix (6 marks)

  • Determinant and Inverse of Matrix
  • Solving Equations by Matrix Method
  • Cramer's Rule

Unit 4: Coordinate Geometry (11 marks)

  • Angle between two lines
  • Pair of straight lines
  • Conic sections
  • Circle

Unit 5: Trigonometry (15 marks)

  • Multiple and sub-multiple angles
  • Transformation of trigonometric identities
  • Conditional identities
  • Trigonometric equations
  • Height and distance

Unit 6: Vector (7 marks)

  • Scalar Product
  • Vector Geometry

Unit 7: Transformation (8 marks)

  • Combined Transformation
  • Inversion Transformation and Inversion Circle
  • Matrix Transformation

Unit 8: Statistics (8 marks)

  • Quartile Deviation
  • Mean Deviation
  • Standard Deviation
  • Coefficient of Variation