Mathematics 1

Objectives

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 population proportion

Assessment

Assignments: 10%
Attendance and participation: 10%
Exams: 80%