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Engineering Mathematics (MAST20029)
Undergraduate level 2Points: 12.5On Campus (Parkville)
For information about the University’s phased return to campus and in-person activity in Winter and Semester 2, please refer to the on-campus subjects page.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Summer Term
Semester 1
Email: brazil@unimelb.edu.au
Semester 2
Please refer to the LMS for up-to-date subject information, including assessment and participation requirements, for subjects being offered in 2020.
Overview
Availability | Summer Term Semester 1 Semester 2 |
---|---|
Fees | Look up fees |
This subject introduces important mathematical methods required in engineering such as manipulating vector differential operators, computing multiple integrals and using integral theorems. A range of ordinary and partial differential equations are solved by a variety of methods and their solution behaviour is interpreted. The subject also introduces sequences and series including the concepts of convergence and divergence.
Topics include: Vector calculus, including Gauss’ and Stokes’ Theorems; sequences and series; Fourier series, Laplace transforms; systems of homogeneous ordinary differential equations, including phase plane and linearization for nonlinear systems; second order partial differential equations and separation of variables.
Intended learning outcomes
At the completion of this subject, students should be able to
- manipulate vector differential operators
- determine convergence and divergence of sequences and series
- solve ordinary differential equations using Laplace transforms
- sketch phase plane portraits for linear and nonlinear systems of ordinary differential equations
- represent suitable functions using Fourier series
- solve second order partial differential equations using separation of variables
- use MATLAB to perform simple numerical and symbolic calculations
Generic skills
In addition to learning specific mathematical skills, students will have the opportunity to develop generic skills that will assist them in any career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing tasks;
- computer skills: the ability to use mathematical computing packages.
Last updated: 22 March 2024
Eligibility and requirements
Prerequisites
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10006 | Calculus 2 |
Semester 1 (On Campus - Parkville)
Summer Term (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
MAST10009 | Accelerated Mathematics 2 | Semester 2 (On Campus - Parkville) |
12.5 |
MAST10021 | Calculus 2: Advanced | Semester 2 (On Campus - Parkville) |
12.5 |
MAST10019 Calculus Extension Studies
AND
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Summer Term (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
Semester 2 (On Campus - Parkville)
|
12.5 |
MAST10008 | Accelerated Mathematics 1 | Semester 1 (On Campus - Parkville) |
12.5 |
MAST10022 | Linear Algebra: Advanced | Semester 1 (On Campus - Parkville) |
12.5 |
MAST10013 UMEP Maths for High Achieving Students
MAST10018 Linear Algebra Extension Studies
OR
Admission to the Master of Engineering.
Corequisites
None
Non-allowed subjects
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20009 | Vector Calculus |
Semester 2 (On Campus - Parkville)
Semester 1 (On Campus - Parkville)
|
12.5 |
MAST20030 | Differential Equations | Semester 2 (On Campus - Parkville) |
12.5 |
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 22 March 2024
Assessment
Due to the impact of COVID-19, assessment may differ from that published in the Handbook. Students are reminded to check the subject assessment requirements published in the subject outline on the LMS
Semester 1
Description | Timing | Percentage |
---|---|---|
Three written assignments due at regular intervals amounting to a total of up to 40 pages
| During the teaching period | 15% |
A written test
| Mid semester | 15% |
A written examination
| During the examination period | 70% |
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject. | N/A |
Semester 2
Description | Timing | Percentage |
---|---|---|
Three written assignments due at regular intervals amounting to a total of up to 40 pages
| During the teaching period | 15% |
A written test
| Mid semester | 15% |
A written examination
| During the examination period | 70% |
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject. | N/A |
Summer Term
Description | Timing | Percentage |
---|---|---|
Two written assignments due at regular intervals amounting to a total of up to 40 pages
| During the teaching period | 15% |
A written test
| Mid semester | 15% |
A written examination
| During the examination period | 70% |
Hurdle requirement: Students must pass the assessment during semester to pass the subject. That is, students must obtain a mark of at least 15% out of 30% for the combined assignment and mid semester test mark to pass the subject. | N/A |
Last updated: 22 March 2024
Dates & times
- Summer Term
Principal coordinator Antoinette Tordesillas Mode of delivery On Campus (Parkville) Contact hours Summer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week Total time commitment 170 hours Teaching period 6 January 2020 to 21 February 2020 Last self-enrol date 15 January 2020 Census date 17 January 2020 Last date to withdraw without fail 7 February 2020 Assessment period ends 29 February 2020 Summer Term contact information
- Semester 1
Principal coordinator Marcus Brazil Mode of delivery On Campus (Parkville) Contact hours Summer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week Total time commitment 170 hours Teaching period 2 March 2020 to 7 June 2020 Last self-enrol date 13 March 2020 Census date 30 April 2020 Last date to withdraw without fail 5 June 2020 Assessment period ends 3 July 2020 Semester 1 contact information
Email: brazil@unimelb.edu.au
- Semester 2
Principal coordinator Marcus Brazil Mode of delivery On Campus (Parkville) Contact hours Summer semester: 6 x 1 hours lectures per week, 2 x one hour practice classes per week. Semester 1 and 2: 3 x one hour lectures per week, 1 x one hour practice class per week Total time commitment 170 hours Teaching period 3 August 2020 to 1 November 2020 Last self-enrol date 14 August 2020 Census date 21 September 2020 Last date to withdraw without fail 16 October 2020 Assessment period ends 27 November 2020 Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 22 March 2024
Further information
- Texts
Prescribed texts
Recommended texts and other resources
E Kreysig, Advanced Engineering Mathematics, 10th Edition, Wiley, USA 2011.
- Subject notes
Students enrolled in the BSc (new degree only) will receive science credit for the completion of this subject.
Note for BSc (new degree) students: This subject is intended only for students pursuing an Engineering Systems major, who do not wish to take any further study in Mathematics and Statistics or Physics. Other students, including those wanting to supplement their Engineering Systems major with further study in Mathematics and Statistics or Physics, should seek advice.
Students undertaking this subject are required to regularly use computers with MATLAB installed.
- Related Handbook entries
This subject contributes to the following:
Type Name Course Master of Architectural Engineering Informal specialisation Science-credited subjects - new generation B-SCI Informal specialisation Selective subjects for B-BMED Informal specialisation Bachelor of Design Elective Subjects Specialisation (formal) Biochemical Specialisation (formal) Chemical Specialisation (formal) Civil with Business Specialisation (formal) Structural Specialisation (formal) Electrical with Business Major Engineering Systems Informal specialisation Environments Discipline subjects Specialisation (formal) Electrical Specialisation (formal) Mechanical Specialisation (formal) Civil Specialisation (formal) Biomedical Specialisation (formal) Chemical with Business Specialisation (formal) Biomedical with Business Specialisation (formal) Environmental Specialisation (formal) Mechatronics Specialisation (formal) Mechanical with Business - Breadth options
This subject is available as breadth in the following courses:
- Bachelor of Arts
- Bachelor of Commerce
- Bachelor of Design
- Bachelor of Environments
- Bachelor of Fine Arts (Acting)
- Bachelor of Fine Arts (Animation)
- Bachelor of Fine Arts (Dance)
- Bachelor of Fine Arts (Film and Television)
- Bachelor of Fine Arts (Music Theatre)
- Bachelor of Fine Arts (Screenwriting)
- Bachelor of Fine Arts (Theatre)
- Bachelor of Fine Arts (Visual Art)
- Bachelor of Music
- Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.
Last updated: 22 March 2024