Units / ENG2005
ENG2005 · Advanced engineering mathematics
2026 Handbook6 credit pointsLevel 2Faculty of Engineering
Last checked: 23 Aug 2026 UTCOverview
This unit introduces advanced mathematical concepts required for all disciplines of engineering that extend on the concepts in ENG1005 Engineering mathematics. Major concepts taught using engineering contexts include multivariable and vector calculus, Fourier series and partial differential equations. Specific topics include partial derivatives, double and triple integrals with change of coordinates, vector functions and operators, parametric curves and surfaces, periodic functions, Laplace transforms, ODE boundary value problems, partial differential equation solution techniques and applications.
Areas of study: E3001 Bachelor of Engineering (Honours) - Specialisation: Aerospace engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Biomedical engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Chemical engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Civil engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Electrical and computer systems engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Environmental engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Materials engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Mechanical engineering E3001 Bachelor of Engineering (Honours) - Specialisation: Robotics and mechatronics engineering
Offerings
| Campus | Teaching period | Mode |
|---|---|---|
| Malaysia | Second semester | Teaching activities are on-campus (ON-CAMPUS) |
| Clayton | First semester | Some activities have a choice of on-campus or online teaching activities (FLEXIBLE) |
| Clayton | Second semester | Some activities have a choice of on-campus or online teaching activities (FLEXIBLE) |
| Malaysia | First semester | Teaching activities are on-campus (ON-CAMPUS) |
Assessment
The Handbook lists an examination for this unit.
| # | Assessment | Type | Weight | Hurdle |
|---|---|---|---|---|
| 1 | Pre-class quizzes | Quiz / Test | 1% | — |
| 2 | Applied class quizzes | Quiz / Test | 6% | — |
| 3 | Workshop quizzes | Quiz / Test | 5% | Competency |
| 4 | Workshop worksheets | Exercise | 5% | — |
| 5 | Mid-semester test 1 | Quiz / Test | 13% | — |
| 6 | Mid-semester test 2 | Quiz / Test | 20% | — |
| 7 | Final assessment | Examination | 50% | — |
Continuous assessment: 50% Final assessment: 50% Assessment in this unit includes a competency hurdle assessment task. The consequence of not achieving a competency hurdle is a fail grade (NH) and a maximum mark of 45 for the unit.
Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.
Requisites
prerequisite
- ENG1005 — Engineering mathematics
Learning outcomes
- Apply vector calculus, Fourier analysis and differential equations in the solution of mathematical problems.
- Identify powerful mathematical approaches to solve complex engineering problems.
- Discuss the appropriate application of mathematical theory in problem solution in both written and spoken formats.
- Discuss mathematical theory as part of a team of peers.
Workload
The minimum total expected workload to achieve the learning outcomes for this unit is 144 hours per semester typically comprising a mixture of 3-6 hours of scheduled learning activities and 6-9 hours of independent study per week. Scheduled activities may include a combination of teacher-directed learning, peer-directed learning and online engagement. Independent study may include associated readings, assessment and preparation for scheduled activities.
| Activity | Duration |
|---|---|
| Assessments | 2 hours |
| Applied sessions | 24 hours |
| Workshops | 20 hours |
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