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Engineering Mathematics (MAST20029)
Undergraduate level 2Points: 12.5Dual-Delivery (Parkville)
Please refer to the return to campus page for more information on these delivery modes and students who can enrol in each mode based on their location.
About this subject
- Overview
- Eligibility and requirements
- Assessment
- Dates and times
- Further information
- Timetable(opens in new window)
Contact information
Summer Term
Semester 1
Semester 2
Overview
Availability | Summer Term - Dual-Delivery Semester 1 - Dual-Delivery Semester 2 - Dual-Delivery |
---|---|
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: 11 April 2024
Eligibility and requirements
Prerequisites
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10006 | Calculus 2 |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST10009 | Accelerated Mathematics 2 | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST10021 | Calculus 2: Advanced | Semester 2 (Dual-Delivery - Parkville) |
12.5 |
MAST10019 Calculus Extension Studies
AND
One of
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST10007 | Linear Algebra |
Summer Term (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
Semester 1 (Dual-Delivery - Parkville)
|
12.5 |
MAST10008 | Accelerated Mathematics 1 | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST10022 | Linear Algebra: Advanced | Semester 1 (Dual-Delivery - Parkville) |
12.5 |
MAST10013 UMEP Maths for High Achieving Students
MAST10018 Linear Algebra Extension Studies
OR
Admission into the MC-ENG Master of Engineering
Corequisites
None
Non-allowed subjects
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST20009 | Vector Calculus |
Semester 1 (Dual-Delivery - Parkville)
Semester 2 (Dual-Delivery - Parkville)
|
12.5 |
MAST20030 | Differential Equations | Semester 2 (Dual-Delivery - 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: 11 April 2024
Assessment
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: 11 April 2024
Dates & times
- Summer Term
Principal coordinator Antoinette Tordesillas Mode of delivery Dual-Delivery (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 4 January 2021 to 19 February 2021 Last self-enrol date 13 January 2021 Census date 22 January 2021 Last date to withdraw without fail 5 February 2021 Assessment period ends 27 February 2021 Summer Term contact information
- Semester 1
Coordinator Christine Mangelsdorf Mode of delivery Dual-Delivery (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 1 March 2021 to 30 May 2021 Last self-enrol date 12 March 2021 Census date 31 March 2021 Last date to withdraw without fail 7 May 2021 Assessment period ends 25 June 2021 Semester 1 contact information
- Semester 2
Principal coordinator Marcus Brazil Mode of delivery Dual-Delivery (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 26 July 2021 to 24 October 2021 Last self-enrol date 6 August 2021 Census date 31 August 2021 Last date to withdraw without fail 24 September 2021 Assessment period ends 19 November 2021 Semester 2 contact information
Time commitment details
Estimated total time commitment of 170 hours
Last updated: 11 April 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 Bachelor of Design Elective Subjects Specialisation (formal) Biochemical Specialisation (formal) Chemical with Business Specialisation (formal) Civil Specialisation (formal) Biomedical Specialisation (formal) Civil with Business Specialisation (formal) Electrical Specialisation (formal) Electrical with Business Specialisation (formal) Environmental Specialisation (formal) Biomedical with Business Specialisation (formal) Chemical Specialisation (formal) Mechanical Specialisation (formal) Mechatronics Specialisation (formal) Structural Specialisation (formal) Mechanical with Business Informal specialisation Elective subjects for B-BMED Major Engineering Systems Informal specialisation Environments Discipline subjects Informal specialisation Science Discipline subjects - new generation B-SCI - 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 (Production)
- 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: 11 April 2024