Overview

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.

Requisites

Prerequisites
MTH10010 Essential Mathematics

Rule

Admission into a Bachelor of Engineering (Honours), Bachelor of Aviation or Bachelor of Science course.
OR
MTH00007 Preliminary Mathematics
OR
MTH00005 Applied Engineering Mathematics

Teaching periods
Location
Start and end dates
Last self-enrolment date
Census date
Last withdraw without fail date
Results released date
Semester 2
Location
Hawthorn
Start and end dates
29-July-2024
27-October-2024
Last self-enrolment date
11-August-2024
Census date
31-August-2024
Last withdraw without fail date
13-September-2024
Results released date
03-December-2024
Semester 2
Location
Hawthorn
Start and end dates
04-August-2025
02-November-2025
Last self-enrolment date
17-August-2025
Census date
31-August-2025
Last withdraw without fail date
19-September-2025
Results released date
09-December-2025

Learning outcomes

Students who successfully complete this unit will be able to:

  • Identify and apply standard approaches to solve mathematical systems and models
  • Recognise and compose algebraic and geometric forms of functions, and convert between these forms
  • Model the relationship between real life phenomena and functions that model it, the appropriateness of these models, and associated errors
  • Follow the principles of unbiased sampling, represent data using descriptive statistics and graphical approaches, using the normal distribution to produce interval estimates of parameters
  • Interpret relationships between variables using correlation, regression and techniques of statistical inference, using key terms appropriately
  • Use tables of derivatives and integrals for simple functions and identify and use appropriate techniques to differentiate and integrate more complicated functions, and solve simple ordinary differential equations
  • Apply the rules of differentiation and integration to calculate linear approximations of functions, classify stationary points, and compute areas

Teaching methods

Hawthorn

Type Hours per week Number of weeks Total (number of hours)
On-campus
Lecture
4.00  9 weeks  36
On-campus
Class
1.00  12 weeks  12
On-campus
Class
4.00  3 weeks  12
Specified Activities
Various
2.00  12 weeks  24
Unspecified Activities
Independent Learning
5.50  12 weeks  66
TOTAL     150

Assessment

Type Task Weighting ULO's
ExaminationIndividual 40 - 60% 1,2,3,4,5,6,7 
Online AssignmentIndividual 5 - 25% 1,2,3,4,6,7 
Project ReportIndividual 5 - 25% 4,5 
TestIndividual 5 - 25% 1,2,3 

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

  • Sets, Limits and Functions
  • Modelling and Error
  • Descriptive Statistics
  • Inferential Statistics
  • Differentiation
  • Integration
  • Ordinary Differential Equations

Study resources

Reading materials

A list of reading materials and/or required textbooks will be available in the Unit Outline on Canvas.