Mathematical Methods provides a strong foundation in key mathematical concepts including algebra, calculus, and probability. It is designed for students who enjoy problem-solving and abstract thinking. This subject prepares you for advanced studies in science, technology, engineering, economics, and mathematics.
Apply mathematical processes in mathematical routines and concepts.
Apply mathematical processes in non-routine contexts.
Summary, presentation and interpretation of the findings from the mathematical investigation and related applications.
Using technology to develop mathematical ideas and analyse problems.
Use relevant mental and by-hand approaches to estimation and computation.
Functions, relations and graphs: Students explore the graphical representation and investigate the behaviours of polynomial, power, circular, exponential, and logarithmic functions, analyzing key features such as intercepts, domain, range, asymptotes, symmetry, stationary points, and periodicity.
Algebra, number and structure: Students focus on the algebra of polynomial and simple transcendental functions, along with transformations of the plane.
Calculus: Students study rates of change, including constant, average, and instantaneous rates, using graphical and numerical methods and also explore differentiation and anti-differentiation of polynomial functions, applying various notations and analyzing graphs.
Data analysis, probability and statistics: Students learn about basic probability concepts and explore counting principles and apply them to calculate probabilities.
In-class Tests and Application Tasks
It is a prerequisite for many university courses in engineering, science, medicine, commerce, and computer science. It can lead to careers in fields such as data analysis, actuarial studies, and technology development.