This unit builds on foundations laid in first year core units Mathematics I and II giving extensive treatment of some of the more advanced areas of mathematics. These areas have applications in engineering, particularly as tools for computer-based modelling, analysis and design related to heat and fluid flow. The unit aims to present students with methods for translating real engineering problems into mathematical form and guide them in developing mathematical techniques for the solution of such problems.
The unit is split into two sections: section one will cover solving ordinary and partial differential equations using methods such as Laplace transforms, Fourier series, and the method of separation of variables; section two will cover differential and integral vector calculus methods.
|Unit name||Calculus of Several Variables|
|College/School||College of Sciences and Engineering
Australian Maritime College
|Discipline||National Centre for Maritime Engineering and Hydrodynamics|
|Coordinator||Professor Kiril Tenekedjiev|
|Available as student elective?||Yes|
|Delivered By||University of Tasmania|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
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|Study Period||Start date||Census date||WW date||End date|
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (refer to How do I withdraw from a unit? for more information).
Unit census dates currently displaying for 2022 are indicative and subject to change. Finalised census dates for 2022 will be available from the 1st October 2021. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
- Model engineering systems using differential equation methods, such as Laplace transforms.
- Derive the differential equations governing physical or modelling problems, solve these equations by methods of practical importance and interpret the results.
- Use Fourier series as a tool in solving problems that involve ordinary and partial differential equations.
- Calculate line integrals and surface integrals and consider some of their basic engineering applications in solid mechanics, fluid flow and heat problems.
- Use corresponding formulae of Green, Gauss and Stokes in engineering applications, as well as in theoretical problems, such as potential theory.
|Field of Education||Commencing Student Contribution 1||Grandfathered Student Contribution 1||Approved Pathway Course Student Contribution 2||Domestic Full Fee|
1 Please refer to more information on student contribution amounts.
2 Please refer to more information on eligibility and Approved Pathway courses.
3 Please refer to more information on eligibility for HECS-HELP.
4 Please refer to more information on eligibility for FEE-HELP.
Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.
3 hours Lectures weekly, 1 hour Tutorial weekly
|Assessment||Class Test (10%)|Tutorials (10%)|Exam (70%)|Assignment (10%)|
|Timetable||View the lecture timetable | View the full unit timetable|
Required readings will be listed in the unit outline prior to the start of classes.
|Links||Booktopia textbook finder|
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