Courses & Units
Mathematics 1A KMA552
Hobart
Introduction
Successful completion of this unit supports your development of Mathematics core knowledge and skills. Through the development of this knowledge and skills you will have the necessary mathematics content and understanding of the nature of Mathematics for contributing to your development as a mathematics teachers.
The applicability of calculus and linear algebra is so broad that fluency in it is essential for a successful career in a variety of areas including science and engineering. This unit is devoted to the conceptual and logical development of these two main areas of mathematics, gradually building the tools for solving innumerable problems of great practical importance. In calculus part of the unit, a brief look at the Real Number System  and its properties will lead us to the study of real valued functions on  in general and the study of special functions such as trigonometric, exponential and logarithmic functions. The notion of limits will be utilised to define continuity and differentiability of functions, emphasising the importance of understanding the material conceptually and graphically. This area will also help establish the technical skills necessary to solve problems arising in practical situations. One highlight of the unit will be the discussion of the Fundamental Theorem of Calculus, which unifies differential and integral calculus. The concept of Complex Numbers will also be introduced together with their fundamental operations, basic knowledge of which is essential for the units involved in Real and Complex Analysis and Differential equations. The Euclidean spaces Â2 and Â3 are introduced which then is followed by an introduction to 2 and 3 dimensional vector spaces arising from Â2 and Â3.
Summary
Unit name | Mathematics 1A |
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Unit code | KMA552 |
Credit points | 12.5 |
College/School | College of Sciences and Engineering School of Natural Sciences |
Discipline | Mathematics |
Coordinator | Doctor Hettiarachchilae (Kumudini) Dharmadasa |
Delivered By | Delivered wholly by the provider |
Availability
Location | Study period | Attendance options | Available to | ||
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Hobart | Semester 1 | On-Campus | Off-Campus | International International | Domestic Domestic |
Key
- On-campus
- Off-Campus
- International students
- Domestic students
Key Dates
Study Period | Start date | Census date | WW date | End date |
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Semester 1 | 22/2/2021 | 23/3/2021 | 12/4/2021 | 30/5/2021 |
* 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 2021 are indicative and subject to change. Finalised census dates for 2021 will be available from the 1st October 2020. Note census date cutoff is 11.59pm AEST (AEDT during October to March).
Learning Outcomes
- Demonstrate a coherent understanding of the mathematics at first year undergraduate level by acquiring the ability to construct logical, clearly presented and justified arguments incorporating deductive reasoning (Assessed by ATs 1, 2, 3 and 4)
- Exhibit depth and breadth of knowledge of the principles and concepts in this area of mathematics In particular, you will be able to: a) Use the notion of a function conceptually and graphically to investigate, interpret or manipulate results, as the need arises b) Use conceptual understanding of (i) Limits (ii) Continuity (iii) Differentiability and (iv) Integrability Of functions together with the associated technical skills to build mathematical models to physical problems and arrive at solutions which are logically sound c) Move beyond the real number system and enjoy properties of complex numbers together with their algebraic manipulations d) Use techniques of linear algebra, in particular, matrix algebra, to solve and represent solutions to systems of linear equations e) Appreciate the applicability of Euclidean vector spaces and their geometry to solve simple geometrical problems f) Understand the abstract concept of a vector space and its applicability to other areas of mathematics g) Understand rigorous mathematical proofs of standard theorems, lemmas or corollaries that you will encounter in your future studies in mathematics (Assessed by ATs 1, 2, 3 and 4)
- Demonstrate strength of inquiry and problem solving capabilities through formulating and modelling practical and abstract problems arising in this level of mathematics, and interpreting results critically (Assessed by AT 1 and 4)
- Develop communication skills to present mathematical information using logical reasoning (Assessed by ATs 1, 2, 3 and 4)
- 5. Demonstrate responsibility of learning through proving a) Ability to self-direct learning to extend their existing knowledge and that of others b) Ability to work effectively and responsibly in an individual or team context (Assessed by ATs 1, 2, 3 and 4)
- Critically reflect upon the nature of Mathematics. (Assessed by AT 5)
Fee Information
Field of Education | Commencing Student Contribution 1,3 | Grandfathered Student Contribution 1,3 | Approved Pathway Course Student Contribution 2,3 | Domestic Full Fee 4 |
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010101 | $493.00 | $493.00 | not applicable | $2,402.00 |
- Available as a Commonwealth Supported Place
- HECS-HELP is available on this unit, depending on your eligibility3
- FEE-HELP is available on this unit, depending on your eligibility4
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.
If you have any questions in relation to the fees, please contact UConnect or more information is available on StudyAssist.
Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.
Teaching
Timetable | View the lecture timetable | View the full unit timetable |
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Textbooks
Required |
Required readings will be listed in the unit outline prior to the start of classes. |
Links | Booktopia textbook finder |
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