MTH1010 - Functions and their applications - 2019

6 points, SCA Band 2, 0.125 EFTSL

Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.



Organisational Unit

School of Mathematical Sciences

Chief examiner(s)

Mr Simon Teague


Mr Simon Teague
Dr Daniel McInnes

Unit guides



  • First semester 2019 (On-campus)
  • Second semester 2019 (On-campus)


It is recommended that students will have successfully completed either VCE Mathematical Methods 1/2 or VCE Further Mathematics 3/4 or equivalent. Students without one of these may need to undertake additional private study beyond the normal workload requirements.


ENG1005, ENG1090, ENG1091, MTH1049, MTH1020, MTH1030, MTH1035 and MTH1040. Note that MTH1010 can only be completed prior to MTH1020 and MTH1030/MTH1035 or equivalent. Students who have achieved a study score of at least 25 in VCE Mathematical Methods units 3/4 (or equivalent) are not permitted to enrol in MTH1010.


Functions, domain and range, function representation; different types of functions including linear, exponential, logarithmic, trigonometric, polynomial and rational functions; function algebra; composition of functions; inverse of functions; transformations; modelling with functions; rates of change; introduction to differentiation and integration, including techniques and applications.


On completion of this unit students will be able to:

  1. Describe the properties of elementary functions by means of tables, graphs and mathematical expressions;
  2. Manipulate functions using a range of methods from algebra and calculus;
  3. Apply functions and appropriate mathematical tools to model simple physical systems;
  4. Communicate mathematical arguments in written form.


NOTE: From 1 July 2019, the duration of all exams is changing to combine reading and writing time. The new exam duration for this unit is 3 hours and 10 minutes.

End of semester examination (3 hours): 60% (Hurdle)

Continuous assessment: 40% (Hurdle)

Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for both the end-of-semester examination and continuous assessment components.

Workload requirements

Three 1-hour lectures and one 2-hour applied class per week

See also Unit timetable information