Mathematics 1


This subject develops mathematical knowledge and skills in pre-calculus, calculus, matrices, statistics and probability, as preparation for a wide variety of university courses.

Course outline

Semester 1

  • Review of algebra and trigonometry
  • Functions, applications of derivatives
  • Limits, continuity, differentiability, differentiation from first principles, differentiation formulae
  • Anti-differentiation, fundamental theorem of calculus, evaluation of areas

Semester 2

  • Indefinite integrals and further applications of integration
  • Matrix methods, statistics
  • Permutations and combinations
  • Introduction to probability, probability distributions, expected value, standard deviation
  • Binomial, hypergeometric and geometric distributions
  • Continuous probability density functions, mean, median, variance and applications
  • Normal distribution, confidence intervals for a population proportion


Quizzes: 10%
Assignments: 10%
Tests and exams: 80%