Mathematics syllabus

Mathematics

• 1 Set Theory, Real Number System, and Complex Number (10 LHs)

  • Sets: concept, specification, types, relations and laws
  • Natural numbers, integers, rational and irrational numbers, real numbers
  • Addition, multiplication, cancellation, distributive and order properties
  • Concept of complex number
• 2 Functions, Limits, and Continuity (10 LHs)

  • Constants, variables, functions and types of functions
  • Graphs of algebraic, logarithmic and exponential functions
  • Functional values, domain and range
  • Limits at a point and at infinity
• 3 Differentiation and Integration (10 LHs)

  • Derivatives of algebraic, logarithmic and exponential functions
  • Methods of differentiation
  • Maxima and minima of a one-variable function
  • Integration concept and methods for algebraic, logarithmic and exponential functions
• 4 Vectors, Matrix and Determinants (8 LHs)

  • Vectors and vector algebra
  • Matrices and matrix algebra
  • Determinants and their algebra
• 5 Probability (10 LHs)

  • Probability concept
  • Factorial notation, permutations and combinations
  • Classical, relative-frequency and subjective probability approaches
  • Addition, multiplication and conditional probability rules