Advanced Mathematical Modelling

Undergraduate | 2026

Course page banner
Mode icon
Mode
Mode
Your studies will be on-campus, and may include some online delivery
On campus
area/catalogue icon
Area/Catalogue
MATH X301
Course ID icon
Course ID
208394
Campus icon
Campus
Adelaide City Campus East, Mawson Lakes
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course owner
Course owner
Mathematical Sciences
Course coordinator
Course coordinator
Lyndon Koens
Course level icon
Course level
3
Work Integrated Learning course
Work Integrated Learning course
No
Study abroad and student exchange icon
Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
Discipline group A
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes

Course overview

This course aims to enable learners to design detailed deterministic mathematical models of physical systems using conservation laws, the calculus of variations, and the theory of multiple-scale systems. Once developed, learners will apply advanced analytical and numerical techniques to the models and interpret the results.

Course learning outcomes

  • Apply analytical solution techniques to advanced models, including similarity and leading-order solutions
  • Implement numerical solutions for DE models, including the heat and traffic flow PDE models and stiff systems
  • Interpret analytical and/or numerical solutions to advanced mathematical models
  • Construct mathematical models from first principles, including using conservation laws and the calculus of variations, and reduced models using multiple-scale methods

Availability

Census date Icon
Census date
Fri 27/03/2026
Enrol by date
Enrol by date
Fri 13/03/2026
Last day to W
Last day to W
Fri 10/04/2026
Last day to WF
Last day to WF
Fri 08/05/2026

Class details

Adelaide City Campus East

Class number
Class number 27108
Section
Section FR01
Size
Size 25
Available
Available 25
Dates Days Time Campus Location Instructor
24 Feb - 14 Apr Tuesday 9:10am - 11am Adelaide City Campus East Napier, LG15
5 May - 2 Jun Tuesday 9:10am - 11am Adelaide City Campus East Napier, LG15
Class number
Class number 27109
Section
Section WS01
Size
Size 25
Available
Available 25
Dates Days Time Campus Location Instructor
26 Feb - 16 Apr Thursday 9:10am - 10am Adelaide City Campus East Hughes, 323
7 May - 4 Jun Thursday 9:10am - 10am Adelaide City Campus East Hughes, 323

Mawson Lakes

Class number
Class number 27110
Section
Section FR01
Size
Size 25
Available
Available 25
Dates Days Time Campus Location Instructor
24 Feb - 14 Apr Tuesday 1:10pm - 3pm Mawson Lakes Sir Charles Todd, SCT2-38
5 May - 2 Jun Tuesday 1:10pm - 3pm Mawson Lakes Sir Charles Todd, SCT2-38
Class number
Class number 27111
Section
Section WS01
Size
Size 25
Available
Available 25
Dates Days Time Campus Location Instructor
24 Feb - 14 Apr Tuesday 4:10pm - 5pm Mawson Lakes Building J, J1-10
5 May - 2 Jun Tuesday 4:10pm - 5pm Mawson Lakes Building J, J1-10

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A

Assumed knowledge

N/A

Textbook(s)

N/A

Inherent requirements

N/A

Other resources

N/A

Assessment

N/A

Fee calculator

To display course fees, please select your status and program below:

Study Abroad student tuition fees are available here.

Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information.

The Student Contribution amount displayed below is for students commencing a new program from 2021 onwards. If you are continuing in a program you commenced prior to 1 January 2021, or are commencing an Honours degree relating to an undergraduate degree you commenced prior to 1 January 2021, you may be charged a different Student Contribution amount from the amount displayed below. Please check the Student Contribution bands for continuing students here. If you are an international student, or a domestic student studying in a full fee paying place, and are continuing study that you commenced in 2025 or earlier, your fees will be available here before enrolments open for 2026.

Degree list
The following degrees include this course
Bachelor of Teaching (Secondary) (Honours)
Bachelor of Mathematics (Honours) majoring in Applied Mathematics
Bachelor of Mathematics (Honours)
Bachelor of Mathematics
Bachelor of Mathematics majoring in Applied Mathematics