Mathematical Methods

Mathematics

VCE

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Mathematical Methods focuses on developing algebraic and graphical techniques, and introduces students to calculus and probability. It is a core mathematics subject for students planning further study in STEM fields and provides students with a deep understanding of calculus and probability while continuing to build algebraic, graphical and numerical skills essential for higher mathematics.

Students will learn to:

  • Investigate and analyse functions, including linear, quadratic, cubic, exponential, polynomial, and logarithmic functions
  • Solve problems involving equations and inequalities
  • Explore differential and integral calculus and its applications, developing proficiency for solving problems involving rates of change and areas under curves
  • Model and analyse probability and random processes, including discrete and continuous distributions
  • Interpret, sketch and transform a variety of graphical representations
  • Apply advanced algebraic reasoning and graphical interpretation to real-world and theoretical problems

This course strengthens the critical thinking and problem-solving skills essential for higher mathematics and STEM pathways, and prepares students for mathematics-rich university courses.

Students are required to use a TI-Nspire CAS Calculator for graphing, computation and modelling tasks throughout all units.

Assessment activities

  • assignments
  • tests
  • solutions to sets of worked questions
  • summary notes or review notes
  • mathematical investigations
  • exams.

Selection advice

Mathematical Methods may be a prerequisite for some university courses. Year 10 Analytical Maths is a prerequisite for this study. Units 3 and 4 Mathematical Methods can only be attempted after Units 1 and 2 have been completed. Students intending to study Specialist Mathematics must also complete Mathematical Methods.

Links to further pathways

Mathematical Methods enables entry into science, engineering, technology, mathematics, economics, and many commerce and health science degrees. It is a prerequisite for many university courses in science, engineering, mathematics, technology, and economics, and Mathematical Methods Units 3 & 4 are often a prerequisite for mathematics-heavy tertiary courses.