Stage 2 Mathematical Methods
Length of Course
Level
Learning Area
Core or Specialist
Pre-requisites
Successful completion of Stage 1 Mathematical Methods with a minimum of a B grade.
Subject Description
Mathematical Methods develops an increasingly complex and sophisticated understanding of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students develop a deep understanding of the physical world through a sound knowledge of relationships involving rates of change.
Students use statistics to describe and analyse phenomena that involve uncertainty and variation. Mathematical Methods provides the foundation for further study in mathematics, economics, computer sciences, and the sciences. It prepares students for courses and careers that may involve the use of statistics, such as health or social sciences.
When studied together with Specialist Mathematics, this subject can be a pathway to engineering, physical science, and laser physics.
Successful completion of Stage 1 Mathematical Methods with a minimum of a B grade is required.
Why should a student study it?
Students should study this subject if they are passionate about mathematics and want to keep their academic options open for university studies.
Students will undertake the following topics:
- Further differentiation and applications
- Discrete random variables
- Integral Calculus
- Applications of Integral Calculus
- Continuous random variables and the normal distribution
- Sampling and confidence intervals
Learning outcomes:
- Demonstrate understanding of mathematical concepts and techniques - Apply key facts, formulas, procedures, and definitions accurately.
- Apply mathematical models to practical and theoretical situations - Use mathematics to represent and analyse real-world and abstract problems.
- Interpret and evaluate mathematical results - Assess the reasonableness of solutions and provide clear justifications.
- Execute mathematical processes and use appropriate tools - Carry out procedures efficiently and make effective use of technology.
- Communicate mathematical reasoning effectively - Use correct mathematical notation, terminology, and logical structure in explanations.
- Use problem-solving and reasoning strategies - Apply logical thinking to investigate patterns, develop generalisations, and solve unfamiliar problems.
Assessment in this course consists of:
- Six Skills and Applications Tasks (50%)
- One Mathematical Investigation (20%)
- External Examination (30%)
Future Pathways:
In Stage 2 Mathematical Methods, students will build a range of mathematical and problem solving skills which will equip them for a range of different careers:
- Engineer
- Data Analyst
- Statistician
- Operations Research Analyst
- Computer Programmer
- Actuary
- Physics or Engineering Scientist
- Software Engineering
Students are encouraged to purchase a MASA Specialist Maths Revision Guide (approximately $35)
Pathways for Mathematics
Click a subject to view its pathway