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 a population proportion
Assessment
Quizzes: 10%
Assignments: 10%
Tests and exams: 80%