Discrete Mathematics II (MATH2302)

Course overview

This course builds on an introductory discrete mathematics course to further develop student's understanding of topics including enumeration, geometric topology, graph theory, design theory and other combinatorial ideas.

This course introduces students to various areas of discrete mathematics including combinatorial enumeration, graph theory, discrete topology and design ﾠtheory. The underlying theories and techniques are presented with a focus on examples and applications. It provides background for further study of discrete mathematics in 3rd and 4th year courses.

In the School of Mathematics and Physics we are committed to creating an inclusive and empowering learning environment for all students. We value and respect the diverse range of experiences our students bring to their education, and we believe that this diversity is crucial for fostering a rich culture of knowledge sharing and meaningful exploration. We hold both students and staff accountable for actively contributing to the establishment of a respectful and supportive learning environment.

Bullying, harassment, and discrimination in any form are strictly against our principles and against UQ Policy, and will not be tolerated. We have developed a suite of resources to assist you in recognising, reporting, and addressing such behaviour. If you have any concerns about your experience in this course, we encourage you to tell a member of the course teaching team, or alternatively contact an SMP Classroom Inclusivity Champion (see Blackboard for contact details). Our Inclusivity Champions are here to listen, to understand your concerns, and to explore potential actions that can be taken to resolve them. Your well-being and a positive learning atmosphere are of utmost importance to us.

Course requirements

Assumed background

This course assumes a basic understanding of elementary mathematical concepts and reasoning as covered in MATH1061.

Prerequisites

You'll need to complete the following courses before enrolling in this one:

MATH1061

Incompatible

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

MATH2300, MATH7308 (co-taught).

Course contact

Course staff

Timetable

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

Additional timetable information

All classes will be conducted on campus, consult your personal timetable for times and locations. ﾠWednesday 13 August and Monday 6 October are public holidays, so there will be no applied classes or lectures on those days. Students who are enrolled in a Monday applied class or a Wednesday applied class are encouraged to attend a different applied classes in those weeks. Students should sign on to their preferred applied class time.

Aims and outcomes

This course aims to give students a basic understanding ofﾠfourﾠareas within discrete mathematics: enumeration, graph theory, classification of surfaces, and design theory, with an emphasis on enumeration and graph theory.

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

Assignment Series

Mode

Written

Category

Tutorial/ Problem Set

Weight

40% 10% for each assignment

Due date

Assignment 1: 22/08/2025 3:00 pm

Assignment 2: 12/09/2025 3:00 pm

Assignment 3: 17/10/2025 3:00 pm

Assignment 4: 31/10/2025 3:00 pm

Learning outcomes

L01, L02, L03, L04, L05, L06

Task description

Submission guidelines

Submit electronically in Gradescope, accessible through the course Blackboard site. More details on the submission process will be provided on the course Blackboard page.

Deferral or extension

You may be able to apply for an extension.

See ADDITIONAL ASSESSMENT INFORMATION for the 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.

Final Exam

• Hurdle
• Identity Verified
• In-person

Mode

Written

Category

Examination

Weight

60%

Due date

End of Semester Exam Period

8/11/2025 - 22/11/2025

Learning outcomes

L01, L02, L03, L04, L05, L06

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

The final mark is calculated on the results of the Final Examination and four Assignments (problem sets).

Method: The final examination counts 60% of the final mark, and the ﾠfour assignments each count 10% of the final mark.ﾠ

Note that regardless of your final mark, you must obtain a mark of 45% or higher on the final exam in order to pass the course.

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

Students should check that assignment marks are correctly entered in Gradescope. ﾠAny questions or concerns ﾠabout incorrect/missing marks should ﾠbe raised with the course coordinator within ﾠ21 calendar days of ﾠthe release of marks for ﾠthe assessment piece.

Artificial Intelligence

To pass this course, students will be required to demonstrate a detailed understanding of course material together with a range of associated skills independent of Artificial Intelligence (AI) and Machine Translation (MT) tools.

For assessment tasks that are completed in-person (including examinations) termed “secure assessment”, the use of generative Artificial Intelligence (AI) or Machine Translation (MT) tools will not be permitted unless otherwise advised. Any attempted use of AI or MT may constitute student misconduct under the Student Code of Conduct.

Other non-secure assessment tasks (such as assignments) are designed to help you develop your understanding and skills, and to prepare you for secure assessment. You are thus generally encouraged to complete such assessment without the use of AI/MT, unless explicitly advised to the contrary in the assessment item. In any event, if you choose to use such tools, then you must clearly reference any such use within your submitted work. A failure to reference AI or MT use may constitute student 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 timeframe 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.
• An extension for an assessment item due within the teaching period in which the course is offered, must not exceed four weeks in total. If you are incapacitated for a period exceeding four weeks of the teaching period, you are advised to apply for Removal of Course.
• 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.
• 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.
• 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

Copies of course material such as course notes, applied class questions, assignments, and solutions to applied class questions will be made available on the course blackboard ﾠpage.

Learning activities

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

Additional learning activity information

Lectures define the course material. They set out the basic theory and demonstrate techniques for problem solving. They cover all the core material required for the course. They are also used to provide administrative information for the course. During the lectures, students are expected to answer or ask questions when opportunities arise.

The expected workload for a 2 unit course at UQ is 10 hours per week (on average). In addition to time spent at lectures and applied classes, students are expected to revise the course material, work through problem sets, and complete assignments.

Applied classes provide students with an opportunity for individual assistance. Students will be given sets of problems to complete during applied classes, giving them the opportunity to practice mathematical techniques with assistance available from a tutor and/or from their peers. The applied classes also provide an opportunity to ask questions about other aspects of the course, including assignments.

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 for Students Policy and Procedure

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