MathsLink: Methods
Duration
- 6 weeks full-time onlyThis unit will be delivered online in 2021
Contact hours
- 137 hours of directed online learning and independent learning
On-campus unit delivery combines face-to-face and digital learning.
Prerequisites
VCE Units 3 & 4 Further Mathematics OR
VCE Units 1 & 2 Mathematical Methods
Aims and objectives
The aims of this program are to provide students with a thorough grounding in VCE Units 3 & 4 Mathematical Methods, to lay a foundation for further university studies in mathematics and to help students to develop the skills required to manage their own mathematics education. This unit provides an appropriate background for further study in, for example, science, aviation, engineering, humanities, education or economics.
| Unit Learning Outcomes | |
|---|---|
| On successful completion of this unit students will be able to: | |
| # | Unit Learning Outcome Description |
| ULO1 | Define and explain key concepts as specified in the content from the areas of study, and apply a range of related mathematical routines and procedures |
| ULO2 | Apply mathematical processes in non-routine contexts, and analyse and discuss these applications of mathematics |
| ULO3 | Select and appropriately use a computer algebra system and other technology to develop mathematical ideas, produce results and carry out analysis in situations requiring problem-solving, modelling or investigative techniques or approaches |
Unit information in detail
- Teaching methods, assessment and content.
Teaching methods
| Hawthorn Online | |||||
|---|---|---|---|---|---|
| Activity Type | Activity | Total Hours | Number of Weeks | Hours Per Week | Optional - Activity Details |
| Online | Directed Online Learning and Independent Learning | 137 | 6 weeks | 22.83 | |
| Total Hours: | 137 | Total Hours (per week): | 22.83 | ||
Assessment
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To pass this unit, you must:
(i) Achieve an overall mark for the unit of 50% or more, and
(ii) Obtain at least 40% in the written test.
Students who do not achieve the hurdle requirement will receive a maximum of 44% as the total mark for the unit and will not be eligible to pass the unit.
Content
- Numbers & Algebra: calculation, notations, rounding and accuracy, indices, fractions, transposing and evaluating equations, sequences & series
- Functions and relations: set notation, identifying functions & relations, mapping, Cartesian plane, domain & range, interpretation of graphs of functions; function modelling, solving simple inequalities
- Polynomial Functions: linear functions, power functions, quadratic functions: binomial expansion and factorisation, completing the square, cubic functions: factor theorem, algebraic division
- Trigonometry & Circular Functions: angles, radian and degree measures, classification of triangles, definition of trigonometric ratios, simple mensuration formulas for areas and volumes, graphing trigonometric functions, solving trigonometric equations
- Exponential & Logarithmic Functions: logarithm laws, graphing exponential and logarithmic functions, solving exponential and logarithmic functions
- Differentiation: ideas and simple rules, product, quotient and chain rules, related rates, simple one-variable optimisation; stationary and inflection points on a curve
- Integration: ideas and simple rules, including numerical integration, easy substitutions (e.g. linear), use of tables of integrals and areas (definite integrals).
- Statistics: discrete random variables, continuous random variables, binomial distribution, normal distribution.
Study resources
- References.
References
A list of reading materials and/or required texts will be made available in the Unit Outline.