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This is the first of a sequence of two subjects (Foundation Mathematics 1 and Foundation Mathematics 2) providing BSc(Ext) students with a foundation in mathematics that prepares students for the Bachelor of Science and a pathway into the Bachelor of Commerce. The content consists of traditional VCE mathematical topics, with a particular emphasis on those topics needed for subsequent studies in the Bachelor of Science and Bachelor of Commerce degrees. Applications, examples and problems will be taken from these disciplines.
Intended learning outcomes
On completion of the subject students should have:
- a basic understanding of algebra and be able to expand, factorise and collect like terms;
- the ability to solve linear equations, and simultaneous equations;
- the ability to sketch and interpret straight line graphs, and solving real world problems using linear models;
- the ability to solve quadratic equations, sketch and interpret quadratic functions, and solving problems using quadratic functions;
- an understanding of and be able to use exponential and logarithmic functions in problem solving;
- an understanding of the general concept of a function, including such notions as range, domain, function type and hybrid functions;
- the ability to use basic techniques for transforming graphs (translation dilation and reflection);
- an understanding of the core Trigonometric functions - sine, cosine and tangent - and the ability to solve trigonometric equations;
- well-developed communication group work skills.
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team; and
- time-management skills: the ability to meet regular deadlines while balancing competing commitments.
Last updated: 31 January 2024