Key facts

UNE unit code: PMTH339

*You are viewing the 2026 version of this unit which may be subject to change in future.

Start
  • Trimester 2 - On Campus
  • Trimester 2 - Online
Campus
  • Armidale Campus
24/7 online support
  • Yes
Intensive schools
  • No
Supervised exam
  • Yes
Credit points
  • 6

Unit information

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Differential equations are one of the most prevalent sets of methods for modelling real world phenomena across science and engineering, with applications in areas including biology, chemistry, physics, geoscience, sports science, economics, and finance.

Differential equation models range in complexity from simple, through to complex models for the motion of fluids, such as the violent storms in Jupiter’s atmosphere and the coordinated motion of groups of animals.

As a natural extension of calculus, this unit offers you qualitative and quantitative methods for ordinary and partial differential equations. You will explore first order equations, second order linear equations, series solutions, boundary value problems and phase plane analysis.

Studying this unit, you will develop practical foundational knowledge of differential equations that is invaluable for further study in mathematics and the life and physical sciences.

Offerings

For further information about UNE's teaching periods, please go to Principal Dates.

Teaching period
Mode/location
Trimester 2On Campus, Armidale Campus
Trimester 2Online

*Offering is subject to availability

Intensive schools

There are no intensive schools required for this unit.

Enrolment rules

Pre-requisites
PMTH212 and PMTH213 or candidature in a postgraduate award
Restrictions
PMTH439
Combined units

Notes

It is best if students do PMTH333 before this unit.

Please refer to the student handbook for current details on this unit.

Unit coordinator(s)

profile photo of Wenjie Ni
Wenjie NiResearch Fellow - School of Science and Technology

Learning outcomes

Upon completion of this unit, students will be able to:

  1. use a broad and coherent theoretical knowledge to demonstrate an in-depth understanding of the theory of elementary, ordinary and partial differential equations and some of its applications;
  2. develop a deep level of theoretical knowledge about partial differential equations;
  3. apply well-developed knowledge and skills relating to applications of differential equations; and
  4. analyse and generate solutions to sometimes complex problems, with logical and coherent methodolgy in solving differential equations.

Learning resources

Textbooks are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.

Note: Students are expected to purchase prescribed material. Please note that textbook requirements may vary from one teaching period to the next.

Elementary Differential Equations and Boundary Value Problems

ISBN: 9781119820512

Boyce, W.E., DiPrima R.C. and Meade D.B., Wiley 12th ed. 2022

Note: Previous editions of the book with the same title and authors are suitable.

Text refers to: All offerings

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