Essential Mathematics
Duration
- One Semester or equivalent
Contact hours
- 60 hours face to face + blended
On-campus unit delivery combines face-to-face and digital learning.
2023 teaching periods
Hawthorn Higher Ed. Semester 2 |
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Dates: Results: Last self enrolment: Census: Last withdraw without fail: |
Prerequisites
Admission into a Bachelor of Engineering (Honours), Bachelor of Aviation or Bachelor of Science course.or
or
Aims and objectives
This unit of study aims to provide students with the mathematical knowledge and skills to support their concurrent and subsequent studies, providing a thorough grounding in mathematics.
Unit Learning Outcomes ULO)
On successful completion of this unit students will be able to:
1. Identify and apply standard approaches to solve mathematical systems and models
2. Recognise and compose algebraic and geometric forms of functions, and convert between these forms
3. Describe the relationship between real life phenomena and functions that model it, the appropriateness of these models, and associated errors
4. Follow the principles of unbiased sampling, represent data using descriptive statistics and graphical approaches, using the normal distribution to produce interval estimates of parameters
5. Interpret relationships between variables using correlation, regression and techniques of statistical inference, using key terms appropriately
6. Use tables of derivatives and integrals for simple functions and identify and use appropriate techniques to differentiate and integrate more complicated functions, including ordinary differential equations
7. Apply the rules of differentiation and integration to calculate linear approximations of functions, classify stationary points, and compute areas
Unit information in detail
- Teaching methods, assessment and content.
Teaching methods
Hawthorn
Type | Hours per week | Number of Weeks | Total |
On Campus Lecture | 4 | 9 | 36 |
On Campus Class (Tutorial) | 2 | 6 | 12 |
On Campus Computer Lab | 2 | 6 | 12 |
Online Learning Activities | 7.5 | 12 | 90 |
TOTAL | 150 hours |
Assessment
Types | Individual or Group task | Weighting | Assesses attainment of these ULOs |
Online Assignment | Individual | 5-25% | 1,2,3,4,5,6,7 |
Examination | Individual | 40-60% | 1,2,3,4,5,6,7 |
Project Report | Individual | 5-25% | 4,5 |
Test | Individual | 5-25% | 1,2,3 |
Hurdle
As the minimum requirements of assessment to pass a unit and meet all Unit Learning Outcomes to a minimum standard, a student must achieve:
As the minimum requirements of assessment to pass a unit and meet all Unit Learning Outcomes to a minimum standard, a student must achieve:
(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 will receive a maximum of 45% as the total mark for the unit.
Content
- Sets, Limits and Functions
- Modelling and Error
- Descriptive Statistics
- Inferential Statistics
- Differentiation
- Integration
- Ordinary Differential Equations
Study resources
- Reading materials.
Reading materials
A list of reading materials and/or required texts will be made available in the Unit Outline.