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Course profile

Mathematical Foundations I (MATH7040)

Study period
Sem 1 2025
Location
External
Attendance mode
Online

Course overview

Study period
Semester 1, 2025 (24/02/2025 - 21/06/2025)
Study level
Postgraduate Coursework
Location
External
Attendance mode
Online
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

This course covers fundamental mathematical concepts, useful to students in a wide range of discipline areas, including agriculture, arts, business, education, health sciences, science, social sciences, applied science and engineering. It is the UQ equivalent course to Queensland Secondary School Mathematical Methods. Topics include: statistics (counting & probability, discrete random variables, continuous random variables), sequences and series, functions (quadratic, logarithmic, exponential, non-linear, trigonometric), differentiation and its applications, and integration and its applications.

This courseᅠprovides an introduction to the most important parts of the mathematics needed at University. It is designed for students with limited mathematical backgrounds and gives a level of mathematical knowledge roughly equivalent to completing four semesters of Queensland high school Mathematical Methods.

Most students take MATH7040 to satisfy a prerequisite. However, MATH7040 is also interesting in its own right, and can help you in everyday life. Many students from other fields take MATH7040 to strengthen their mathematical skills. A number of PhD students have completed MATH7040 so they can better understand the mathematics used in their area. Happily, a number of students have enjoyed MATH7040 so much that they have studied some of the follow-up courses, and at least two MATH7040 students have continued to a PhD in mathematics; why don't youᅠ be the third?

MATH1040 and MATH7040 are co-badged courses and will share learning activities. MATH7040 will have some differences in assessment to evaluate students at Level 9 (Masters) of the Australian Qualifications Framework.

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 ᅠUQ Policy,ᅠ and will not be tolerated. We have developed aᅠ suite of resourcesᅠ 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

Incompatible

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

MATH1040 (co-taught).

Restrictions

Restricted to students enrolled in BEd(Hons), GCEd, GCEdSt, GDipEdSt, MEdSt, GCGIS, GDipGIS and MGIS.

Jointly taught details

This course is jointly-taught with:

  • MATH1040 (Mathematical Foundations I)

MATH1040 and MATH7040 are co-badged courses and will share learning activities. MATH7040 will have some differences in assessment to evaluate students at Level 9 (Masters) of the Australian Qualifications Framework.

Course contact

Course staff

Lecturer

Tutor

Mr Matthew Lynch
Mr Reuben Richardson

Timetable

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

Additional timetable information

There are no repeat lectures in this course. You should attend all three lectures per week. All lectures will be delivered live on campus and streamed live. All lectures are recorded.

Practicals are optional: you are welcome to attend on-campus or via Zoom. Each workshop runs for two hours and is structured in a highly ᅠinteractive way.

There will be no classes on public holidays. There will be make-up lectures for affected lectures. The exact dates for the make-up lectures will be announced on Blackboard closer to the time.ᅠ


OPTIONAL:

The Support Learning Tutorial (SLT) is optional. This class is highly recommendedᅠ for the following group of students.ᅠ

  • Students who are repeating MATH1040/7040.
  • Students who obtained a grade C for Queensland General Mathematics (or equivalent).
  • Students who are returning to maths studies after a significant period.


Check Blackboard for further information about the SLT.ᅠ



Aims and outcomes

The aim of this course is for students enrolled in graduate programs to reach a standard of mathematics roughly equivalent to Queensland high school Mathematical Methods. Completing this course will also enable students to tackle first level mathematics courses such as MATH1050/7050 (Specialist Mathematics equivalent) and then MATH1051/7051, as well as MATH1061/7861 and/or STAT1201/7201. It will also enable students to cope with a reasonable level of mathematics in their other (non-maths) courses.

Learning outcomes

After successfully completing this course you should be able to:

LO1.

Mathematical confidence: Apply mathematical and quantitative skills to a variety of problems across a range of discipline areas

LO2.

Mathematical confidence: Confidently work independently and in small groups to use mathematics in solving problems

LO3.

Mathematical confidence: Appreciate the power and importance of mathematics in solving diverse problems

LO4.

Functions: Identify simple functions and determine their domain and range

LO5.

Functions: Graphically represent functions

LO6.

Functions: Find the solution(s) of a range of functions

LO7.

Functions: Understand basic exponential, logarithmic and trigonometric functions

LO8.

Calculus: Understand the concept of rate of change and its connection to differentiation

LO9.

Calculus: Apply the techniques of calculus to solve physical problems

LO10.

Calculus: Understand the concept of integration as the reverse of differentiation as well as area under the curve, be able to integrate simple functions, and apply integration to solve practical problems in other fields.

LO11.

Sequences and series: Express a list of objects as arithmetic and geometric sequences and series

LO12.

Sequences and series: Apply summation notation to solve mathematical problems

LO13.

Probability: Understand the concept of a discrete random variable and its associated probability function

LO14.

Probability: Understand the concept of a continuous random variable and its associated probability density function

LO15.

Probability: Evaluate the expected value and variance of random variables

LO16.

Probability: Identify contexts that can be modelled using the Binomial or Normal random variables

LO17.

Probability: Calculate probabilities from random variables to solve practical problems

Assessment

Assessment summary

Category Assessment task Weight Due date
Tutorial/ Problem Set Assignments 25% weighted equally

28/03/2025 4:00 pm

16/05/2025 4:00 pm

Examination In-Semester Exam
  • Identity Verified
  • Online
20%

In-semester Saturday

29/03/2025 - 12/04/2025

You must hold all of the following three Saturdays free until the exam date is officially announced

  • 29 March 2025 (Week 5)
  • 5 April 2025 (week 6)
  • 12 April 2025 (week 7)
Examination Final examination
  • Hurdle
  • Identity Verified
  • In-person
55%

End of Semester Exam Period

7/06/2025 - 21/06/2025

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
Tutorial/ Problem Set
Weight
25% weighted equally
Due date

28/03/2025 4:00 pm

16/05/2025 4:00 pm

Learning outcomes
L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

Task description

You must submit detailed written solutions to a collection of mathematical problems.


Assignment 1 is due on Friday 28 March 2024 (Week 5), 4 pm.

Assignment 2 is due on Friday 16 May 2024 (Week 11), 4 pm.

Submission guidelines

Submit via Blackboard

Deferral or extension

You may be able to apply for an extension.

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

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 Exam

  • Identity Verified
  • Online
Mode
Written
Category
Examination
Weight
20%
Due date

In-semester Saturday

29/03/2025 - 12/04/2025

You must hold all of the following three Saturdays free until the exam date is officially announced

  • 29 March 2025 (Week 5)
  • 5 April 2025 (week 6)
  • 12 April 2025 (week 7)
Other conditions
Time limited.

See the conditions definitions

Learning outcomes
L01, L03, L04, L05, L06, L07

Task description

The in-semester examination will be invigilated via Zoom. There are two sections in the exam:

  • Section A consists of short answer questions.
  • Section B consists of problem solving questions.


UQ approved calculators may be used. Graphical calculators (that is, calculators with text output or a multi-line display) are NOT allowed.

See https://my.uq.edu.au/services/manage-my-program/exams-and-assessment/sitting-exam/approved-calculators for details.

Exam details

Planning time 10 minutes
Duration 90 minutes
Calculator options

(In person) Casio FX82 series only or UQ approved and labelled calculator

Open/closed book Closed Book examination - no written materials permitted
Exam platform Other
Invigilation

Invigilated by Zoom

Submission guidelines

Deferral or extension

You may be able to defer this exam.

Final examination

  • Hurdle
  • Identity Verified
  • In-person
Mode
Written
Category
Examination
Weight
55%
Due date

End of Semester Exam Period

7/06/2025 - 21/06/2025

Other conditions
Time limited.

See the conditions definitions

Learning outcomes
L01, L03, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

Task description

The examination is closed book and will be invigilated on-campus for students enrolled in in-person mode and invigilated over Zoom for students in external mode. You must attend the format allocated for your type of enrolment (in-person/external). Further details for each format will be provided to students before the examination period.

There are two sections in the exam:

  • Section A consists of short answer questions.
  • Section B consists of problem solving questions.

UQ approved calculators may be used. Graphical calculators (that is, calculators with text output or a multi-line display) are NOT allowed.

See https://my.uq.edu.au/services/manage-my-program/exams-and-assessment/sitting-exam/approved-calculators for details. 

Hurdle requirements

See COURSE GRADING INFORMATION for the hurdle relating to this assessment item.

Exam details

Planning time 10 minutes
Duration 120 minutes
Calculator options

(In person) Casio FX82 series only or UQ approved and labelled calculator

Open/closed book Closed Book examination - no written materials permitted
Exam platform Other
Invigilation

Invigilated by Zoom

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for extension/deferral information relating to this assessment item.

Course grading

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

Grade Cut off Percent Description
1 (Low Fail) -

Absence of evidence of achievement of course learning outcomes.

Course grade description: Students will receive a grade 1 if their total score for the course isᅠless than 20%.

2 (Fail) -

Minimal evidence of achievement of course learning outcomes.

Course grade description: Students will receive a grade 2 ifᅠtheir total score is ᅠat least 20% and less than 45%.

3 (Marginal Fail) <p>0</p> -

Demonstrated evidence of developing achievement of course learning outcomes

Course grade description: Students will receive a grade ᅠ3 ᅠif (a) their total score for the course is at least 45% and less than 50%;ᅠOR (b) their total score for the course is greater than or equal to 50%; BUTᅠthey do not achieve either: ᅠ ᅠ ᅠ ᅠ (i) at least 80%ᅠof the sum of ᅠmarks available for Section A of the mid-semester exam and Section A of the final exam ᅠ ᅠ ᅠ ᅠ ORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B of ᅠthe final exam.

4 (Pass) -

Demonstrated evidence of functional achievement of course learning outcomes.

Course grade description: Students will receive a grade 4 if they satisfy ᅠALLᅠof the following requirements: (a )ᅠtheirᅠ total score for the course is ᅠat least 50% and less than 65%; AND (b) they either: ᅠ ᅠ ᅠ ᅠ (i) ᅠreceive at least 80% ᅠof the sum of marks available for Section A of the mid-semester exam and Section A of the final exam ᅠ ᅠ ᅠ ᅠ ORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B ofᅠ the final exam.

5 (Credit) -

Demonstrated evidence of proficient achievement of course learning outcomes.

Course grade description: Students will receiveᅠa grade 5 if they satisfy ᅠALLᅠof the following requirements: (a) their total score for the course is ᅠat least 65% and less than 75%; AND (b) they either: ᅠ ᅠ ᅠ ᅠ (i) ᅠreceive at least 80% ᅠof the sum of marks available for Section A of the mid-semester exam and Section A of the final exam ORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B of ᅠthe final exam.

6 (Distinction) -

Demonstrated evidence of advanced achievement of course learning outcomes.

Course grade description: Students will receiveᅠa grade 6 ᅠif they satisfyᅠ ALLᅠof the following requirements: (a) their total score for the course is ᅠat least 75% and less than 85%; AND (b) they either: ᅠ ᅠ ᅠ ᅠ (i) ᅠreceive at least 80%ᅠ of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam ᅠORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B ofᅠ the final exam.

7 (High Distinction) <p>0</p> -

Demonstrated evidence of exceptional achievement of course learning outcomes.

Course grade description: Students will receiveᅠa grade 7 ᅠif they satisfy ALLᅠof the following requirements: (a) their total score for the course isᅠ at least 85%; AND (b) they either: ᅠ ᅠ ᅠ ᅠ (i) ᅠreceive at least 80%ᅠ of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam ORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B of ᅠthe final exam.

Additional course grading information

IMPORTANT!!!

Note the requirements to achieve a passing grade (4, 5, 6 or 7) in the course. In summary,

(1) ᅠIf you do not receive a total score for the course of at least 50%, then you will fail MATH7040.

(2) If you do not eitherᅠ

ᅠ ᅠ ᅠ ᅠ (i) receive at least 80% of the sum of the marks available for Section A of the mid-semester exam and Section A of the final exam

ᅠ ᅠ ᅠ ᅠ ORᅠ ᅠ ᅠ ᅠ ᅠ (ii) receive at least 50% of the marks ᅠavailable in Section B ofᅠthe final exam.

then you will fail MATH7040.ᅠ

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

Artificial Intelligence

Assessment tasks in this course evaluate students' abilities, skills and knowledge without the aid of generative Artificial Intelligence (AI) or Machine Translation (MT). Students are advised that the use of AI or MT technologies to develop responses is strictly prohibited and 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 (e.g., 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

Library resources are available on the UQ Library website.

Other course materials

If we've listed something under further requirement, you'll need to provide your own.

Required

Item Description Further Requirement
Lecture notes Purchase from UQ Print in O-Week or download from the course Blackboard site own item needed

Additional learning resources information

In addition to the lecture notes, students will have access to:

  • Problem sheets
  • Assignments
  • Online Quizzes
  • Practice problems for the in-semester exam and final exam.
  • Past exam papers with worked solutions.

Completion of these itemsᅠwill have a direct benefit to your learning.ᅠ

Additional learning material will be posted on Blackboard. It is therefore very important that students regularly checkᅠBlackboard.

TheᅠMATHS FIRST YEAR LEARNING CENTRE (FYLC)ᅠatᅠSt Lucia holds support sessions in 67-443 from Monday to ᅠFriday,ᅠ beginning the first week of semester. See Blackboard for details.

Theᅠ MATH1040/7040ᅠ SUPPORT LEARNING TUTORIAL PROGRAM (SLT) is a regular support programᅠaimed at students with gaps in their background skills.ᅠThis class is highly recommended for the following group of students:

  • Students who are repeating MATH1040.
  • Students with a grade C or lower in Queensland General Mathematics (or equivalent).
  • Students who are returning to maths studies after a significant period.


Learning activities

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

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Learning period Activity type Topic
Multiple weeks

From O-week To Exam week 2
(17 Feb - 22 Jun)

Not Timetabled

Independent work

During the semester students are expected to work on MATH7040 outside of class time to consolidate the information given during lectures, work on practical materials and assignments, complete extra practice problems and study for examinations.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

Multiple weeks

From Week 1 To Week 13
(24 Feb - 01 Jun)

Lecture

Lecture

Students may choose to attend either face-to-face lectures (on campus) or view the online lectures. The online lectures will cover the same content as the face-to-face lectures. Both face-to-face and online lectures are centred around the lecture notes, so it is vital that students have their lecture notes with them for both face-to-face and online lectures. As well as completing the lecture notes in a comprehensive manner, students will be provided with additional material and examples. Students electing to simply download the completed lecture notes from Blackboard after each chapter is finished will hence be missing material.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

Practical

Practical

Practicals provide students with an opportunity to practise mathematical techniques with assistance available from a tutor and/or from their peers. The tutors will facilitate group activities and discussions. You can also ask questions about other aspects of the course.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

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:

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