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Foundation Mathematics 1 (MAST10014)
Undergraduate level 1Points: 12.5On Campus (Parkville)
Overview
Availability | Semester 1 |
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This is the first of a sequence of two subjects (Foundation Mathematics 1 and Foundation Mathematics 2) providing students in the Diploma of Science with a broad foundation in mathematics. The knowledge and skills developed prepares students for continuing studies in the Bachelor of Science, or for skilled work and further learning after graduating with the Diploma of Science.
The content consists of algebra, sets and functions, polynomials, exponentials and logarithms, and trigonometric functions, and includes graphing and problem solving in these areas. While developing knowledge and understanding in these topics, students will also strengthen their skills in mathematical logic and reasoning, communication, and active, collaborative learning.
Real-world applications are included throughout, emphasising connections to the sciences and Indigenous ways of knowing.
Intended learning outcomes
On completion of the subject students should have:
- a proficiency in basic algebra, including the ability to solve linear equations and simultaneous linear equations;
- an understanding of the mathematical definition of a set, various set notations, and set operations
- a proficiency working with polynomials, including sketching straight line graphs, sketching and interpreting quadratics, and the ability to perform polynomial long division
- an understanding of the concept of a function, and the notions of domain, range, function types, inverse functions and hybrid functions
- the ability to use basic techniques for transforming graphs of functions by translation, dilation and reflection
- an understanding of exponential and logarithmic functions and their graphs, exponential and log laws, and the ability to solve exponential and logarithmic equations
- an understanding of the core trigonometric ratios – sine, cosine and tangent – and their interpretation in the unit circle, and the ability to sketch graphs of trigonometric functions and solve trigonometric equations
- the ability to use linear, exponential, logarithmic and trigonometric models to solve problems motivated by real world applications
- a familiarity with language and conventions used in mathematical writing and reasoning, and the ability to communicate mathematics clearly and logically; this requires writing and manipulating mathematical equations in real time in collaboration with others, and to identify and evaluate mathematical reasoning in a group context
Generic skills
- problem-solving skills: the ability to engage with unfamiliar problems in a variety of contexts and identify relevant solution strategies
- numeracy skills: the ability to understand and work with numerical and symbolic representation of ideas
- analytical skills: the ability to construct clear and logical arguments, and effectively justify reasoning
- conceptual skills: the ability to see connections across topics, to help organise thinking and frame big picture views
- collaborative skills: the ability to work in a team, and actively participate and engage collaboratively in a task
- time-management and organisational skills: the ability to meet regular deadlines while balancing competing commitments
- capacity for learning in a higher education environment: the ability to engage productively in active learning
Last updated: 16 December 2024