## Handbook home

# Foundation Mathematics 1 (MAST10014)

Undergraduate level 1Points: 12.5On Campus (Parkville)

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## About this subject

- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)

## Contact information

##### Semester 1

## Overview

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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: 3 November 2022