Program Overview

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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 foundation 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: Yes

Teaching Staff

• Coordinator: Brad Roberts
• Lecturer(s): Brad Roberts

Assessment

• Type: Supervised exam
  • Description: Final exam, Multiple choice and written calculations
  • Weight: 60%
  • Due: Formal exam period
  • Length: 1 hour
  • Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9 LO10
• Type: Small test
  • Description: Weekly online quizzes 3-10
  • Weight: 6%
  • Due: Multiple weeks
  • Length: 20 minutes/week
  • Outcomes assessed: LO1 LO2 LO3 LO4 LO5 LO6 LO7 LO8 LO9
• Type: Small test
  • Description: Weekly online quizzes 1-2, #earlyfeedbacktask
  • Weight: 2%
  • Due: Week 03, Due date: 18 Aug 2024 at 23:59, Closing date: 18 Aug 2024
  • Length: 20 minutes/week
  • Outcomes assessed: LO1
• Type: Short release assignment
  • Description: Assignment 1, written calculations
  • Weight: 5%
  • Due: Week 04, Due date: 25 Aug 2024 at 23:59, Closing date: 04 Sep 2024
  • Length: 1-2 pages (as a guide)
  • Outcomes assessed: LO1 LO2 LO10
• Type: Online task
  • Description: Quiz, Multiple choice or written answers
  • Weight: 15%
  • Due: Week 08, Due date: 18 Sep 2024 at 23:59, Closing date: 18 Sep 2024
  • Length: 25 minutes
  • Outcomes assessed: LO1 LO2 LO3 LO4
• Type: Short release assignment
  • Description: Assignment 2, written calculations
  • Weight: 10%
  • Due: Week 11, Due date: 20 Oct 2024 at 23:59, Closing date: 30 Oct 2024
  • Length: 3-4 pages (as a guide)
  • Outcomes assessed: LO1 LO3 LO4 LO5 LO6 LO7 LO10
• Type: Participation
  • Description: Tutorials, Participation in tutorials
  • Weight: 2%
  • Due: Weekly
  • Length: 50 minutes/week
  • Outcomes assessed: LO1 LO10

Assessment Summary

• Assignments: There are two short release assignments. Each must be submitted electronically, as one single typeset or scanned PDF file only, via Canvas by the deadline.
• Quiz: One quiz will be held online through Canvas. The quiz is 25 minutes and has to be submitted by the closing time of 23:59 on the due date.
• Canvas Online Quizzes: There are ten weekly online quizzes (equally weighted) and the marks for the best eight count. The first two are used for the Early Feedback Task.
• Tutorial Participation: This is a satisfactory
  on-satisfactory mark assessing whether or not you participate in class activities during the tutorials.

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 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.

Weekly Schedule

Week	Topic	Learning Activity	Learning Outcomes
Week 01	Complex numbers	Lecture (2 hr)	LO1 LO10
Week 02	Complex numbers	Lecture and tutorial (2 hr)	LO1 LO10
Week 03	Vectors	Lecture and tutorial (3 hr)	LO1 LO2 LO10
Week 04	Vectors	Lecture and tutorial (2 hr)	LO1 LO2 LO4 LO10
Week 05	Vectors	Lecture and tutorial (3 hr)	LO1 LO3 LO4 LO10
Week 06	Planes	Lecture and tutorial (2 hr)	LO1 LO3 LO4 LO10
Week 07	Linear systems	Lecture and tutorial (3 hr)	LO1 LO3 LO5 LO6 LO10
Week 08	Matrices	Lecture and tutorial (2 hr)	LO1 LO5 LO6 LO7 LO10
Week 09	Matrices	Lecture and tutorial (3 hr)	LO1 LO7 LO10
Week 10	Determinants	Lecture and tutorial (2 hr)	LO1 LO7 LO10
Week 11	Eigenvalues and eigenvectors	Lecture and tutorial (3 hr)	LO1 LO7 LO8 LO10
Week 12	Eigenvalues and eigenvectors	Lecture and tutorial (2 hr)	LO1 LO7 LO8 LO9 LO10
Week 13	Diagonalisation	Lecture and tutorial (3 hr)	LO1 LO8 LO9 LO10

Learning Outcomes

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: perform and manipulate dot and cross products;
• LO5: set up systems of linear equations;
• LO6: solve systems of linear equations using Gaussian elimination;
• LO7: perform matrix arithmetic and calculate matrix inverses and determinants;
• LO8: find eigenvalues and eigenvectors;
• LO9: diagonalise a matrix;
• LO10: 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.

• 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

Disclaimer

The University reserves the right to amend units of study or no longer offer certain units, including where there are low enrolment numbers.