UnitLevel 2Undergraduate

ENG2005 Advanced engineering mathematics

Faculty of Engineering

ENG2005 Advanced engineering mathematics is a level 2, 6-credit-point, undergraduate unit from the Faculty of Engineering, offered in 2025 in Semester 1 and Semester 2 at Clayton and Malaysia. It needs ENG1005 and (ENG1060 or ENG1014) and unlocks 58 units, leading on to 122 units in all.

Credit points: 6
Offered in 2025: Semester 1, Semester 2; Clayton, Malaysia
Assessment: Exam 70%; and 3 other tasks
Workload: 144 hours; per semester

This is the 2025 handbook entry. See the 2026 entry.

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Requisites

Before ENG2005

Prohibitions

You can't enrol if you have passed any of these.

One of

Prerequisites

Pass these before you enrol.

All of

ENG1005Engineering mathematicsNo reviews yet

One of

After ENG2005

58 units list ENG2005 as a prerequisite or corequisite.

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Enrolment rules

Corequisite: You must be enrolled in your engineering specialisation at the time of enrolling in ENG2005.

Overview

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.

Offerings in 2025

Teaching period	Campus	Mode
First semester	Clayton	On campus
First semester	Malaysia	On campus
Second semester	Clayton	Flexible
Second semester	Malaysia	On campus

Assessment

Lecture quizzesQuiz / TestThreshold hurdle
5%
Applied class quizzesQuiz / TestThreshold hurdle
10%
Workshop assessmentsExerciseThreshold hurdle
15%
Mid-semester testExaminationThreshold hurdle
20%
Final assessmentExaminationThreshold hurdle
50%

Learning outcomes

When you finish this unit, you should be able to:

1
Apply vector calculus, Fourier analysis and differential equations in the solution of mathematical problems.
2
Identify powerful mathematical approaches to solve complex engineering problems.
3
Apply appropriate computational tools in the solution of mathematical problems.
4
Discuss the appropriate application of mathematical theory in problem solution in both written and spoken formats.
5
Discuss mathematical theory as part of a team of peers.

Workload and teaching

Assessments2 hours
Applied sessions24 hours
Workshops24 hours
Teaching approachActive learning

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.

Workshops and applied classes.

Learning resources

Recommended resources

Please refer to the reading list for the recommended textbooks.

Technology resources

An internet-enabled device is required for workshops and applied classes in order to access online activities.

Where it fits

ENG2005 is part of 25 areas of study in the 2025 handbook.

Contacts

Unit Coordinators: Dr Daniel Jackson; Dr Lily Wong; Mr Nader Kamrani
Chief Examiners: Dr Daniel Jackson

Common questions

What are the prerequisites for ENG2005?

You need ENG1005 and (ENG1060 or ENG1014) before you enrol. Enrolment rules also apply.

What can I take after ENG2005?

ENG2005 is a prerequisite or corequisite for 58 units, including ASP2062, ASP3012, ASP3051, ASP3162, CHE3162 and CHE3167. Those lead on to 122 units in all.

When is ENG2005 offered?

In 2025, ENG2005 runs in Semester 1 and Semester 2 at Clayton and Malaysia.

How much work is ENG2005?

The handbook expects about 144 hours of study across the semester. No students have rated its difficulty yet.

Does ENG2005 have an exam?

Yes. The exam is worth 70% of the final mark, alongside 4 other tasks.

Which majors and minors include ENG2005?

ENG2005 is part of Aerospace engineering, Applied mathematics, Astrophysics, Biomedical engineering and Chemical engineering, and 11 other areas of study.

More details

Credit points: 6
Level: 2
Study level: Undergraduate
Faculty: Faculty of Engineering

Type: Coursework
EFTSL: 0.125
Student contribution: SCA Band 1
Study abroad: Available
Handbook years: 2020 2021 2022 2023 202420252026