H2 Mathematics Tuition Syllabus

PURE MATHEMATICS

  1. Functions and Graphs
  • Functions, inverse functions and composite functions
  • Graphing techniques
  • Equations and inequalities
  1. Sequences and Series
  • Summation of series
  • Arithmetic and geometric series
  1. Vectors
  • Vectors in two and three dimensions
  • The scalar and vector products of vectors
  • Three-dimensional geometry
  1. 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. Permutations, Combinations and Probability
  • Permutations and combinations
  • Probability
  1. Binomial, Poisson and Normal Distributions
  • Binomial and Poisson distributions
  • Normal distribution
  1. Sampling and Hypothesis Testing
  • Sampling
  • Hypothesis testing
  1. Correlation and Regression
  • Correlation coefficient and linear regression

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