H2 Mathematics Tuition Syllabus

PURE MATHEMATICS

  1. Functions and Graphs
  • Functions
  • Graphs and transformations
  • Equations and inequalities
  1. Sequences and Series
  • Sequences and series
  1. Vectors
  • Basic properties of vectors in two and three dimensions
  • The scalar and vector products of vectors
  • Three-dimensional vector geometry
  1. Introduction to Complex Numbers
  • Complex numbers expressed in cartesian form
  • Complex numbers expressed in polar form
  1. Calculus
  • Differentiation
  • Maclaurin’s series
  • Integration techniques
  • Definite integrals
  • Differential equations

STATISTICS

  1. Probability and Statistics
  • Probability
  • Discrete random variables
  • Normal distribution
  • Sampling
  • Hypothesis testing
  • Correlation and Linear regression

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