This first year mathematics unit provides a broad introduction to the fundamental mathematical operations and methods (differentiation, integration and partial differentiation) and mathematical objects (vectors) needed in engineering and science. We initiate themes of mathematical modelling which are most important in connection with practical problems. This unit lays a solid foundation for more advanced mathematics undertaken in semester two and higher years.
|Unit name||Mathematics I|
|College/School||College of Sciences and Engineering
Australian Maritime College
|Discipline||National Centre for Maritime Engineering and Hydrodynamics|
|Coordinator||Doctor Chris Chin|
|Available as an elective?||Yes|
|Delivered By||University of Tasmania|
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- Use function algebra to represent functions as tables, graphs, and mathematical expressions and have developed skills in using functions as models for real-life behaviour.
- State the basic properties of geometric vectors including products of up to three vectors, and apply the results to the geometry of curves and the motion of objects.
- Calculate derivatives of functions involving polynomials, exponentials, logarithms, trigonometric functions and inverses. Use them to solve problems involving rates of change, maximum and minimum and approximation of functions.
- Calculate integrals and use integrals in applications such as Simpson’s rule.
- Calculate partial derivatives and apply the chain rules.
|Field of Education||Commencing Student Contribution 1,3||Grandfathered Student Contribution 1,3||Approved Pathway Course Student Contribution 2,3||Domestic Full Fee 4|
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.
PrerequisitesYear 12 Mathematics Methods (MTM415117 or equivalent) or with permission from unit coordinator
Newnham Campus: 3 hours Lectures weekly, 1 hour Tutorial weekly
Cradle Coast Campus: Lectures will be delivered offline, with weekly on-campus tutorials.
Cradle Coast Campus Students: We strongly recommend to all students (in particular Cradle Coast campus students) that to get the best outcome of the unit, you should physically attend the lectures in the Newnham (Launceston) campus. However, all lectures are recorded and will be made available on MyLO (subject to availability). For missed recordings due to external factors beyond the lecturer's control, all reasonable efforts will be made to rectify the situation arising from this.
|Assessment||Test (10%)|Final Exam (60%)|Tutorials (30%)|
|Timetable||View the lecture timetable | View the full unit timetable|
Stewart, J., Calculus, 8th Edition, Metric Version, Cengage Learning, 2016.
|Links||Booktopia textbook finder|
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