Program Overview
Overview
MATH1002 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering. This unit of study introduces vectors and vector algebra, linear algebra including solutions of linear systems, matrices, determinants, eigenvalues and eigenvectors.
Unit Details and Rules
- Academic unit: Mathematics and Statistics Academic Operations
- Credit points: 3
- Prerequisites: None
- Corequisites: None
- Prohibitions: MATH1012 or MATH1014 or MATH1902
- Assumed knowledge: HSC Mathematics or MATH1111. Students who have not completed HSC Mathematics (or equivalent) are strongly advised to take the Mathematics Bridging Course (offered in February).
- Available to study abroad and exchange students: No
Teaching Staff
- Coordinator: Nathan Brownlowe
Assessment
- Type: Online task
- Description: Webwork quiz online task (may require written calculations)
- Weight: 20%
- Due: Multiple weeks
- Length: Various lengths
- Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9 LO10 LO11
- Type: Assignment
- Description: Assignment 1 written calculations
- Weight: 10%
- Due: Week 02, Due date: 02 Aug 2020 at 23:59, Closing date: 10 Aug 2020
- Length: 7 days
- Outcomes assessed: LO1 LO2 LO3 LO5 LO6 LO7
- Type: Assignment
- Description: Assignment 2 written calculations
- Weight: 5%
- Due: Week 04, Due date: 12 Aug 2020 at 23:59, Closing date: 14 Aug 2020
- Length: 7 days
- Outcomes assessed: LO1 LO6 LO7 LO8 LO9
- Type: Final exam (Open book)
- Description: Final exam Online open book without invigilation
- Weight: 65%
- Due: Week 05
- Length: 1.5 hours
- Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9 LO10 LO11
Assessment Summary
Below are brief assessment details. Further information can be found in the Canvas site for this unit.
- Online quizzes: There are twelve weekly online quizzes. Each online quiz consists of a set of randomized questions
- Assignments: There are two written assignments which must be submitted electronically, as PDF files only, via Canvas, by the deadline. Note that your assignment will not be marked if it is illegible or if it is submitted sideways or upside down. It is your responsibility to check that your assignment has been submitted correctly.
- Examination: Further information about the exam will be made available at a later date on Canvas.
Assessment Criteria
The University awards common result grades, set out in the Coursework Policy 2014 (Schedule 1).
- Result name: High distinction
- Mark range: 85 - 100
- Description: At HD level, a student demonstrates a flair for the subject as well as a detailed and comprehensive understanding of the unit material. A ‘High Distinction’ reflects exceptional achievement and is awarded to a student who demonstrates the ability to apply their subject knowledge and understanding to produce original solutions for novel or highly complex problems and/or comprehensive critical discussions of theoretical concepts.
- Result name: Distinction
- Mark range: 75 - 84
- Description: At DI level, a student demonstrates an aptitude for the subject and a well-developed understanding of the unit material. A ‘Distinction’ reflects excellent achievement and is awarded to a student who demonstrates an ability to apply their subject knowledge and understanding of the subject to produce good solutions for challenging problems and/or a reasonably well-developed critical analysis of theoretical concepts.
- Result name: Credit
- Mark range: 65 - 74
- Description: At CR level, a student demonstrates a good command and knowledge of the unit material. A ‘Credit’ reflects solid achievement and is awarded to a student who has a broad general understanding of the unit material and can solve routine problems and/or identify and superficially discuss theoretical concepts.
- Result name: Pass
- Mark range: 50 - 64
- Description: At PS level, a student demonstrates proficiency in the unit material. A ‘Pass’ reflects satisfactory achievement and is awarded to a student who has threshold knowledge.
- Result name: Fail
- Mark range: 0 - 49
- Description: When you don’t meet the learning outcomes of the unit to a satisfactory standard.
Late Submission
In accordance with University policy, these penalties apply when written work is submitted after 11:59pm on the due date:
- Deduction of 5% of the maximum mark for each calendar day after the due date.
- After ten calendar days late, a mark of zero will be awarded.
Academic Integrity
The Current Student website provides information on academic integrity and the resources available to all students. The University expects students and staff to act ethically and honestly and will treat all allegations of academic integrity breaches seriously.
We use similarity detection software to detect potential instances of plagiarism or other forms of academic integrity breach. If such matches indicate evidence of plagiarism or other forms of academic integrity breaches, your teacher is required to report your work for further investigation.
Use of generative artificial intelligence (AI) and automated writing tools: You may only use generative AI and automated writing tools in assessment tasks if you are permitted to by your unit coordinator. If you do use these tools, you must acknowledge this in your work, either in a footnote or an acknowledgement section. The assessment instructions or unit outline will give guidance of the types of tools that are permitted and how the tools should be used.
Your final submitted work must be your own, original work. You must acknowledge any use of generative AI tools that have been used in the assessment, and any material that forms part of your submission must be appropriately referenced. For guidance on how to acknowledge the use of AI, please refer to the AI in Education Canvas site.
The unapproved use of these tools or unacknowledged use will be considered a breach of the Academic Integrity Policy and penalties may apply.
Learning Support
Simple Extensions
If you encounter a problem submitting your work on time, you may be able to apply for an extension of five calendar days through a simple extension. The application process will be different depending on the type of assessment and extensions cannot be granted for some assessment types like exams.
Special Consideration
If exceptional circumstances mean you can’t complete an assessment, you need consideration for a longer period of time, or if you have essential commitments which impact your performance in an assessment, you may be eligible for special consideration or special arrangements.
Special consideration applications will not be affected by a simple extension application.
Weekly Schedule
WK | Topic | Learning activity | Learning outcomes ---|---|---|--- Week 01 | Introductions, vectors in the plane, vector algebra, vectors in R3 and Rn. | Block teaching (2 hr) | LO1 Length and angle: the dot product, orthogonal vectors, projections | Block teaching (2 hr) | LO2 LO5 Cross products | Block teaching (2 hr) | LO5 Week 02 | Lines and planes | Block teaching (2 hr) | LO2 LO3 Systems of linear equations and Gaussian elimination | Block teaching (2 hr) | LO6 LO7 Gauss-Jordan elimination, intro to matrices, matrix algebra | Block teaching (2 hr) | LO6 LO7 LO8 Week 03 | Matrix algebra, inverse of a matrix. | Block teaching (2 hr) | LO8 Solving systems of linear equations, elementary matrices | Block teaching (2 hr) | LO6 LO8 Applications to population models and Markov chains | Block teaching (2 hr) | LO8 LO11 Week 04 | Determinants | Block teaching (2 hr) | LO8 Eigenvalues and eigenvectors | Block teaching (2 hr) | LO9 Diagonalisation and more on applications | Block teaching (2 hr) | LO10 LO11
Study Commitment
Typically, there is a minimum expectation of 1.5-2 hours of student effort per week per credit point for units of study offered over a full semester. For a 3 credit point unit, this equates to roughly 60-75 hours of student effort in total.
Required Readings
- Linear Algebra: A Modern Introduction, by David Poole, 4th edition. Available from the Co-op Bookshop: digital access available from the publisher cengage.com
Learning Outcomes
Learning outcomes are what students know, understand and are able to do on completion of a unit of study. They are aligned with the University's graduate qualities and are assessed as part of the curriculum.
At the completion of this unit, you should be able to:
- LO1. apply mathematical logic and rigour to solving problems;
- LO2. represent vectors both algebraically and geometrically in two and three dimensions, and perform arithmetic with them;
- LO3. use vectors to solve classical geometric problems;
- LO4. determine spanning families and check linear independence
- LO5. perform and manipulate dot and cross products;
- LO6. set up systems of linear equations;
- LO7. solve systems of linear equations using Gaussian elimination;
- LO8. perform matrix arithmetic and calculate matrix inverses and determinants;
- LO9. find eigenvalues and eigenvectors;
- LO10. diagonalise a matrix;
- LO11. express mathematical ideas and arguments coherently in written form.
Graduate Qualities
The graduate qualities are the qualities and skills that all University of Sydney graduates must demonstrate on successful completion of an award course. As a future Sydney graduate, the set of qualities have been designed to equip you for the contemporary world.
GQ1 | Depth of disciplinary expertise ---|--- GQ2 | Critical thinking and problem solving GQ3 | Oral and written communication GQ4 | Information and digital literacy GQ5 | Inventiveness GQ6 | Cultural competence GQ7 | Interdisciplinary effectiveness GQ8 | Integrated professional, ethical, and personal identity GQ9 | Influence
Outcome Map
Learning outcomes | Graduate qualities ---|--- GQ1 | GQ2 | GQ3 | GQ4 | GQ5 | GQ6 | GQ7 | GQ8 | GQ9
Responding to Student Feedback
This section outlines changes made to this unit following staff and student reviews.
Some material has been removed.
Additional Information
The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.
This unit of study outline was last modified on 20 Jan 2021.
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