What you'll learn
Mathematical Methods Units 1 and 2 introduce you to elementary functions of a single real variable, algebra, calculus, probability, and statistics. These units prepare you for Units 3 and 4 and assume knowledge that supports further study in mathematics.
In Unit 1, the focus is on simple algebraic functions. You’ll explore four key areas: Functions, Relations and Graphs; Algebra, Number and Structure; Calculus; and Data Analysis, Probability and Statistics. The Algebra component continues across both units to allow steady skill development. The content is designed to build your understanding progressively, highlighting the links between all topics.
You’ll use a range of techniques and processes including arithmetic with rational and real numbers, algebraic manipulation, graphing, solving equations, working with sets, and basic differentiation. These are applied with and without technology. You’re also expected to use mental strategies and by-hand methods to estimate and compute accurately. Throughout the unit, you will incorporate tools such as graphing software, calculators, and other digital technologies to support your learning and assessments.
In Unit 2, you’ll focus on transcendental functions, the calculus of polynomial functions, and mathematical modelling. You will continue to study the same four key areas, but with more advanced content building on what you learned in Unit 1. The organisation of the content ensures a clear and logical progression of knowledge and skills.
You will apply similar techniques as in Unit 1, expanding them to include anti-differentiation and more complex applications of calculus. As before, you’ll work both manually and with technology, using numerical, graphical, symbolic, geometric and statistical tools to solve problems and communicate your reasoning effectively.
