Mathematical Studies

Course summary

Mathematics analysis and approaches is for students who enjoy developing their mathematics to become fluent in the construction of mathematical arguments and develop strong skills in mathematical thinking. They will also be fascinated by exploring real and abstract applications of these ideas, with and without technology. Students who take Mathematics: analysis and approaches will be those who enjoy the thrill of mathematical problem solving and generalization. This course recognises the need for analytical expertise in a world where innovation is increasingly dependent on a deep understanding of mathematics. This course includes topics that are both traditionally part of a pre-university mathematics course (for example, functions, trigonometry, calculus) as well as topics that are amenable to investigation, conjecture and proof, for instance the study of sequences and series, and proof by induction. The course allows the use of technology, as fluency in relevant mathematical software and hand-held technology is important, regardless of choice of course. The course also places a strong emphasis on the ability to construct, communicate and justify correct mathematical arguments by developing conceptual understanding of interrelated elements related to approximation, change, equivalence, generalisation, modelling, patterns, quantity, relationships, space, systems, and validity.