Mathematics 4A
60 hours face to face + Blended
One Semester or equivalent
Hawthorn
Available to incoming Study Abroad and Exchange students
Overview
This unit of study aims to provide students with mathematical knowledge and skills needed to support their concurrent and subsequent engineering and science studies.
Teaching periods
Location
Start and end dates
Last self-enrolment date
Census date
Last withdraw without fail date
Results released date
Learning outcomes
Students who successfully complete this unit will be able to:
- Apply Vector Calculus to analyse and model processes that arise in scientific and engineering applications (K2, S1)
- Apply Green’s theorem, Ostrogradsky-Gauss’ divergence theorem and Stokes’ theorem (K2, S1)
- Apply Fourier series to analyse the spectral content of harmonic processes (K2, S1)
- Apply Laplace transforms to analyse and solve differential equations (K2, S1)
Teaching methods
Hawthorn
| Type | Hours per week | Number of weeks | Total (number of hours) |
|---|---|---|---|
| Face to Face Contact (Phasing out) Lecture | 4.00 | 12 weeks | 48 |
| Face to Face Contact (Phasing out) Tutorial | 1.00 | 12 weeks | 12 |
| Unspecified Learning Activities (Phasing out) Independent Learning | 7.50 | 12 weeks | 90 |
| TOTAL | 150 |
Assessment
| Type | Task | Weighting | ULO's |
|---|---|---|---|
| Examination | Individual | 50 - 60% | 1,2,3,4 |
| Test | Individual | 20 - 25% | 1,2 |
| Test | Individual | 20 - 25% | 3 |
Hurdle
As the minimum requirements of assessment to pass a unit and meet all ULOs to a minimum standard, an undergraduate student must have achieved:
(i) an aggregate mark of 50% or more, and(ii) at least 40% in the final exam.Students who do not successfully achieve hurdle requirement (ii) will receive a maximum of 45% as the total mark for the unit.
Content
- Vector calculus: derivatives of a scalar and vector-valued functions; differential vector operators; line, surface and volume integrals; Green’s, Ostrogradsky-Gauss’ and Stokes’ theorems with applications
- Fourier series: Fourier series expansion, functions defined over a finite interval, differentiation and integration of Fourier series, science and engineering applications
- Laplace transforms: definition and properties of Laplace transform, solution of differential equations, step and impulse functions, science and engineering applications
Study resources
Reading materials
A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.