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Note: students with a score of 25 or above in Units 3/4 VCE Mathematics Methods or equivalent would not normally be permitted to take this subject.
Fundamentals of Mathematics is designed for students requiring mathematical knowledge and skills which are applicable to, and provide a foundation for further studies in science, statistics, business and economics. Students will gain the ability to apply mathematical knowledge and skills to analyse, investigate, model and solve problems in a variety of situations, ranging from well defined and familiar situations to unfamiliar and open ended situations.
Intended learning outcomes
Students undertaking this subject will complete the following topics:
- Fundamental concepts of number systems: number line and Cartesian plane, interval and set notation, use of logic
- Algebra: simplification, expansion and factorisation of algebraic expressions, solution of equations, transposition of formulae
- Functions: graphs of polynomials of up to and including degree 3, and exponential and logarithm functions, including transformations
- Introduction to mathematical modelling: linear and non-linear models and regression methods
- Sequences and series and applications to financial mathematics
- Statistics: univariate and bivariate data analysis, introduction to experimental design
- Probability: probability rules, discrete random variables, binomial and normal distributions
- Calculus: derivatives - product, quotient and chain rules for differentiation; integration of simple functions; applications including rates of change, extrema of graphs, solution of simple differential equations and areas under graphs
This subject encompasses particular generic skills so that on completion of the subject students should have developed skills relating to:
- 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
- Time management skills: the ability to meet regular deadlines while balancing competing commitments
Last updated: 3 June 2021