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