Discrete Mathematics (MATH1061)

Course overview

Propositional & predicate logic, valid arguments, methods of proof.
Elementary set theory. Elementary graph theory. Relations & functions.
Induction & recursive definitions. Counting methods (pigeonhole, inclusion/exclusion). Introductory probability. Binary operations, groups, fields. Applications of finite fields. Elementary number theory.

Course requirements

Assumed background

There is no particular assumed background, apart from a level of mathematical sophistication roughly equivalent to completion of Queensland Mathematical Methods (formerly Maths B) at high school or MATH1040. Concurrent enrolment in MATH1061 and MATH1040 is appropriate for students who do not have Mathematical Methods from high school but who have a strong mathematical background, however this will require you to do extra work in MATH1061.

Incompatible

You can't enrol in this course if you've already completed the following:

MATH7861 (co-taught).

Restrictions

Semester 1 external offering restricted to students enrolled in Enhanced Studies Program (program code 1014).

Jointly taught details

This course is jointly-taught with:

• MATH7861

MATH1061 and MATH7861 are co-badged courses and will share learning activities. MATH7861 will have some differences in assessment to evaluate students at Level 9 (Masters) of the Australian Qualifications Framework.

Course contact

Course staff

Timetable

The timetable for this course is available on the UQ Public Timetable.

Additional timetable information

The three lectures per week (no repeats) will be conducted on campus at the times and locations advertised in your personal timetable. ﾠAll lectures will have associated pre-work that you are expected to complete before attending the lecture.ﾠ Lectures themselves will be focused on problem-solving and applying the concepts seen in pre-work. Students are expected to attend these sessions in person unless they have a valid reason for being unable to attend (such as illness).ﾠ

Your weekly tutorial will be conducted on campus – consult your personal timetable for times and locations. You should attend at least one tutorial per week, but you may attend more if you like. Sign up for ONE tutorial time, and this tutorial time will be your designated tutorial, although you may choose to attend other tutorials as well. Note that tutorials do not begin until week 2.ﾠ

Wednesday 14 August and Monday 7 October are Public Holidays, and there will be no lectures or tutorials on these dates. Students in tutorials affected by public holidays are invited to attend a different tutorial session in that week.

Aims and outcomes

The broad aim of this course is to provide students with a solid basis for mathematical reasoning and the opportunity to apply this reasoning to problems in mathematics.

Learning outcomes

After successfully completing this course you should be able to:

Assessment

Assessment summary

A hurdle is an assessment requirement that must be satisfied in order to receive a specific grade for the course. Check the assessment details for more information about hurdle requirements.

Assessment details

Assignments

Mode

Written

Category

Paper/ Report/ Annotation, Tutorial/ Problem Set

Weight

30% ,4 assignments, each worth 7.5%

Due date

Assignment 1: 16/08/2024 5:00 pm

Assignment 2: 6/09/2024 5:00 pm

Assignment 3: 4/10/2024 5:00 pm

Assignment 4: 25/10/2024 5:00 pm

Learning outcomes

L01, L02, L03, L04, L05

Task description

Submission guidelines

Submit this assessment item through the link in Blackboard.

Deferral or extension

You may be able to apply for an extension.

The maximum extension allowed is 7 days. Extensions are given in multiples of 24 hours.

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item then the listed penalty will be deducted per day for up to 7 calendar days, at which point any submission will not receive any marks unless an extension has been approved. Each 24-hour block is recorded from the time the submission is due.

Solutions for assessment item/s will be released 7 days after the assessment is due and as such, an extension after 7 days will not be possible.

See ADDITIONAL ASSESSMENT INFORMATION for extension and deferred examination information relating to this assessment item.

Late submission

A penalty of 10% of the maximum possible mark will be deducted per 24 hours from time submission is due for up to 7 days. After 7 days, you will receive a mark of 0.

You are required to submit assessable items on time. If you fail to meet the submission deadline for any assessment item then the listed penalty will be deducted per day for up to 7 calendar days, at which point any submission will not receive any marks unless an extension has been approved. Each 24-hour block is recorded from the time the submission is due.

In-semester examination

• In-person

Mode

Written

Category

Examination

Weight

20% or 0%

Due date

In-semester Saturday

31/08/2024 - 14/09/2024

Learning outcomes

L01, L02, L03, L04

Task description

Exam details

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for the extension and deferred examination information relating to this assessment item.

Final examination

• Hurdle
• In-person

Mode

Written

Category

Examination

Weight

50% or 70%

Due date

End of Semester Exam Period

2/11/2024 - 16/11/2024

Learning outcomes

L01, L02, L03, L04

Task description

Hurdle requirements

Exam details

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for the extension and deferred examination information relating to this assessment item.

Course grading

Full criteria for each grade is available in the Assessment Procedure.

Additional course grading information

A student's final mark will be the larger of:

• the sum of their assignment marks out of 30, their in-semester exam mark out of 20, and their final exam mark out of 50; or
• the sum of their assignment marks out of 30, and their final exam mark out of 70.

In additional to the overall mark requirements for each grade, you must achieve:

• at least 40% of the total marks available on the in-semester and final examinations or at least 40% of the marks available on the final examination to obtain a grade of 3 or higher;
• at least 45% of the total marks available on the in-semester and final examinations or at least 45% of the marks available on the final examination to obtain a grade of 4 or higher;
• at least 80% of the total marks available on the in-semester and final examinations or at least 80% of the marks available on the final examination to obtain a grade of 7.

Supplementary assessment

Supplementary assessment is available for this course.

Should you fail a course with a grade of 3, you may be eligible for supplementary assessment. Refer to my.UQ for information on supplementary assessment and how to apply. 

Supplementary assessment provides an additional opportunity to demonstrate you have achieved all the required learning outcomes for a course.  

If you apply and are granted supplementary assessment, the type of supplementary assessment set will consider which learning outcome(s) have not been met.  

Supplementary assessment in this course will be a 2-hour examination similar in style to the end-of-semester examination. To receive a passing grade of 3S4, you must obtain a mark of 50% or more on the supplementary assessment. 

Additional assessment information

MATH1061 and MATH7861 will share lectures and cover essentially the same content and assignments, however there may be differences on examinations.ﾠ

Assignment submission

All assignments in this course must be submitted electronically. Ensure that your name, student number and tutorial group number appear clearly at the top to the first page ﾠand ﾠsave your file in pdf format. ﾠMake sure that your pdf file is legible and that the file size is not excessive. Use the assignment submission link in Blackboard to submit the pdf file. If you have any questions regarding assignment submission, email math1061@uq.edu.au. Students should check that assignment marks are correctly entered in the Blackboard Grade Centre.

Pay careful attention to the general university guidelines on plagiarismﾠin Section 6. You are encouraged to work in small groups, particularly in tutorial classes. However, assignments must be completed individually, so everything you submit must beﾠyour ownﾠwork. Inappropriate copying or excessive collaboration will be taken very seriously.

Artificial Intelligence

The assessment tasks in this course evaluate students’ abilities, skills and knowledge without the aid of Artificial Intelligence (AI). Students are advised that the use of AI technologies to develop responses is strictly prohibited and may constitute misconduct under the Student Code of Conduct.

Applications for Extensions to Assessment Due Dates

Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.

Please note:

• Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
• Applications for extension can take time to be processed so you should continue to work on your assessment item while awaiting a decision. We recommend that you submit any completed work by the due date, and this will be marked if your application is not approved. Should your application be approved, then you will be able to resubmit by the agreed revised due date.
• If an extension is approved, you will be notified via your my.UQ portal and the new date and time for submission provided. It is important that you check the revised date as it may differ from the date that you requested.
• If the basis of the application is a medical condition, applications should be accompanied by a medical certificate dated prior to the assignment due date. If you are unable to provide documentation to support your application by the due date and time you must still submit your application on time and attach a written statement (Word document) outlining why you cannot provide the documentation. You must then upload the documentation to the portal within 24 hours.
• If an extension is being sought on the basis of exceptional circumstances, it must be accompanied by supporting documentation (eg. Statutory declaration).
• For extensions based on a SAP you may be granted a maximum of 7 days (if no earlier maximum date applies). See the Extension or Deferral availability section of each assessment for details. Your SAP is all that is required as documentation to support your application. However, additional extension requests for the assessment item will require the submission of additional supporting documentation e.g., a medical certificate. All extension requests must be received by the assessment due date and time.
• Students may be asked to submit evidence of work completed to date. Lack of adequate progress on your assessment item may result in an extension being denied.
• If you have been ill or unable to attend class for more than 14 days, you are advised to carefully consider whether you are capable of successfully completing your courses this semester. You might be eligible to withdraw without academic penalty - seek advice from the Faculty that administers your program.
• There are no provisions for exemption from an assessment item within UQ rules. If you are unable to submit an assessment piece then, under special circumstances, you may be granted an exemption, but may be required to submit alternative assessment to ensure all learning outcomes are met.

Applications to defer an exam

In certain circumstances you can apply to take a deferred examination for in-semester and end-of-semester exams. You'll need to demonstrate through supporting documentation how unavoidable circumstances prevented you from sitting your exam. If you can’t, you can apply for a one-off discretionary deferred exam.

Deferred Exam requests are submitted online via mySi-net. Requests received in any other way will not be approved. Additional details associated with deferred examinations, including acceptable and unacceptable reasons may be found at my.UQ.

Please note:

• Applications can be submitted no later than 5 calendar days after the date of the original exam.
• There are no provisions to defer a deferred exam. You need to be available to sit your deferred examination.
• Your deferred examination request(s) must have a status of "submitted" in mySI-net to be assessed.
• All applications for deferred in-semester examinations are assessed by the relevant school. Applications for deferred end-of-semester examinations are assessed by the Academic Services Division.
• You’ll receive an email to your student email account when the status of your application is updated.
• If you have a medical condition, mental health condition or disability and require alternative arrangements for your deferred exam you’ll need to complete the online alternative exam arrangements through my.UQ. This is in addition to your deferred examinations request. You need to submit this request on the same day as your request for a deferred exam or supplementary assessment. Contact Student Services if you need assistance completing your alternative exam arrangements request.

Learning resources

You'll need the following resources to successfully complete the course. We've indicated below if you need a personal copy of the reading materials or your own item.

Library resources

Find the required and recommended resources for this course on the UQ Library website.

Additional learning resources information

The online discussion board will be available for you to ask questions and get help. Please refer to the blackboard page for the link.

Learning activities

The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.

Policies and procedures

University policies and procedures apply to all aspects of student life. As a UQ student, you must comply with University-wide and program-specific requirements, including the:

• Student Code of Conduct Policy
• Student Integrity and Misconduct Policy and Procedure
• Assessment Procedure
• Examinations Procedure
• Reasonable Adjustments - Students Policy and Procedure

Learn more about UQ policies on my.UQ and the Policy and Procedure Library.