Mathematical Methods - 1MHS & 2MHS

Mathematical Methods further extends students’ mathematical knowledge, skills, and understanding, and includes the study of calculus and statistics. By using functions and their derivatives and integrals, and by mathematically modelling physical processes, students extend their understanding of aspects of the physical world based on 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, the sciences, 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. Students who complete this subject with a C- or better will meet the numeracy requirement of the SACE.

Content
Stage 2 Mathematical Methods consists of the following six topics:

  • Topic 1: Further Differentiation and Applications
  • Topic 2: Discrete Random Variables
  • Topic 3: Integral Calculus
  • Topic 4: Logarithmic Functions
  • Topic 5: Continuous Random Variables and the Normal

General Mathematics

 

Essential Mathematics - 1MEM & 2MEM

Essential Mathematics offers senior secondary students the opportunity to extend their mathematical skills in ways that apply to practical problem-solving in everyday and workplace contexts. Students apply their mathematics to diverse settings, including everyday calculations, financial management, business applications, measurement and geometry, and statistics in social contexts. In Essential Mathematics there is an emphasis on students developing their computational skills and expanding their ability to apply their mathematical skills in flexible and resourceful ways. This subject is valuable for students planning to pursue a career in a range of trades or vocations. Students who complete this subject with a C– or better will meet the numeracy requirement of the SACE.

Content
In this subject students extend their mathematical skills in ways that apply to practical problem-solving in everyday and workplace contexts. A problem-based approach is integral to the development of mathematical skills and associated key ideas in this subject.

Stage 2 Essential Mathematics consists of the following six topics:

  • Topic 1: Scales, Plans, and Models
  • Topic 2: Measurement
  • Topic 3: Business Applications
  • Topic 4: Statistics
  • Topic 5: Investments and Loans
  • Topic 6: Open Topic

Specialist Mathematics - 1MSC & 2MSC

Specialist Mathematics draws on and deepens students’ mathematical knowledge, skills, and understanding, and provides opportunities for students to develop their skills in using rigorous mathematical arguments and proofs, and using mathematical models. It includes the study of functions and calculus. The subject leads to study in a range of tertiary courses such as mathematical sciences, engineering, computer science, and physical sciences. Students envisaging careers in related fields will benefit from studying this subject. Specialist Mathematics is designed to be studied in conjunction with Mathematical Methods. Students who complete this subject with a C– or better will meet the numeracy requirement of the SACE.

Content
The topics extend students’ mathematical experience and their mathematical flexibility and versatility, in particular, in the areas of complex numbers and vectors. The general theory of functions, differential equations, and dynamic systems provides opportunities to analyse the consequences of more complex laws of interaction. Specialist Mathematics topics provide different scenarios for incorporating mathematical arguments, proofs, and problem-solving.

Stage 2 Specialist Mathematics consists of the following six topics:

  • Topic 1: Mathematical Induction
  • Topic 2: Complex Numbers
  • Topic 3: Functions and Sketching Graphs
  • Topic 4: Vectors in Three Dimensions
  • Topic 5: Integration Techniques and Applications
  • Topic 6: Rates of Change and Differential Equations