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This is the first of a sequence of two subjects (Foundation Mathematics 1 and Foundation Mathematics 2) providing BA(Ext) and 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 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;
- an understanding of the core Trigonometric functions - sine, cosine and tangent - and the ability to solve trigonometric equations;
- an understanding of the derivative of a function in terms of limits, the differentiation of polynomial, exponential and logarithmic functions, and maximal and minimal problem solving using stationary points;
- the ability to use differential calculus; by expanding on the concept of a derivative; by exploring continuity, differentiability, the product, quotient and chain rules for differentiation, and the use of differentiation to solve rates of exchange problems and linear approximations;
- well-developed communication group work skills.
Last updated: 18 December 2020