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Course profile

Mathematical Foundations II (MATH7050)

Study period
Sem 1 2026
Location
External
Attendance mode
Online

Course overview

Study period
Semester 1, 2026 (23/02/2026 - 20/06/2026)
Study level
Postgraduate Coursework
Location
External
Attendance mode
Online
Units
2
Administrative campus
St Lucia
Coordinating unit
Mathematics & Physics School

This course covers the core content of Queensland Specialist Mathematics syllabus, which is similar to the former Queensland Mathematics C syllabus. It provides an introduction to vectors, matrices, complex numbers and mathematical induction and other methods of proof. It also extends students' knowledge of functions, differentiation and integration.

This course covers functions, differentiation, integration,ᅠvectors, lines and planes, matrices, andᅠcomplex numbers. It is designed for students with secondary school Mathematical Methods (formerly Mathematics B) or MATH1040, and covers the core content of the Queensland secondary school Specialist Mathematics (formerly Mathematics C) course.

MATH1050 and MATH7050 are co-badged courses and will share learning activities. MATH7050 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 againstᅠUQ Policy,ᅠand will not be tolerated. We have developed aᅠsuite of resourcesᅠto 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.ᅠ

Course requirements

Assumed background

This course assumes that you have a good understanding of the course material in either secondary school Mathematical Methods (formerly Mathematics B)ᅠor MATH7040. It is a student's responsibility to fill in any gaps in the assumed knowledge. Revision material is available on the course web page.

Incompatible

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

MATH1050 (co-taught).

Restrictions

BEd(Hons), GCEd, GCEdSt, GDipEdSt, MEdSt, MQBiol (32) and GDipQBiol.

Course contact

Course staff

Lecturer

Timetable

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

Additional timetable information

All classes will be conducted on campus for students enrolled in in-person mode and online for students enrolled in external mode. Consult your personal timetable for times and locations. Students are expected to attend lectures and applied classes in person unless they have a valid reason for being unable to attend (such as illness). Alternative arrangements will be advised on Blackboard should the campus be closed for any reason. Important: if you are ill, then do not attend any classes in person.

There will be no classes on Friday 3/4 (Good Friday) and Monday 4/5 (Week 10 Labour Day). If your applied class is affected, please attend another applied class for that week. The exact dates for the make-up lectures will be announced on Blackboard closer to the time.ᅠ

Lectures and applied classes commence in Week 1.

OPTIONAL:

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

  • Students who are repeating MATH1050/7050.
  • Students who obtained a grade C for Queensland Methods Mathematics (or equivalent).
  • Students who obtained a grade of 4 or 5 for MATH1040/7040.
  • Students who are returning to maths studies after a significant period.


The SLT commences in Week 2. Check Blackboard for further information about the SLT.ᅠ

Aims and outcomes

This course aims to consolidate students' knowledge and skills in calculus and linear algebra, and to extend this knowledge to provide a firm basis for further study in mathematics.

Learning outcomes

After successfully completing this course you should be able to:

LO1.

Recognise and understand the meaning of - the mathematical notation for matrices and vectors

LO2.

Recognise and understand the meaning of - set notation and mathematical functions, the composition, inverse and the limit of functions

LO3.

Recognise and understand the meaning of - the derivative of a function

LO4.

Recognise and understand the meaning of - complex numbers represented in cartesian, exponential and polar form

LO5.

Recognise and understand the meaning of - the Fundamental Theorm of Algebra, De Moivre's Theorem and the Fundamental Theorem of Calculus

LO6.

Recognise and understand the meaning of - integration as the antiderivative of a function and as the limit of a Riemann sum

LO7.

Express/manipulate - mathematical ideas using matrix and vector notation

LO8.

Express/manipulate - simple functions and represent them graphically

LO9.

Express/manipulate - equations involving complex numbers using the complex conjugate and represent a complex number on an Argand diagram

LO10.

Calculate/Evaluate - the solution to inequalities and express them graphically

LO11.

Calculate/Evaluate - the limit of a simple function, the derivative of simple functions using the limits formula, the constant multiple, sum, product and quotient rules of differentiation, and the derivative of a relation

LO12.

Calculate/Evaluate - critical points of a function, and use the first and second derivative tests to sketch the graph of a function

LO13.

Calculate/Evaluate - the Riemann sum to estimate the area under a curve and evaluate an integral using a substitution

LO14.

Calculate/Evaluate - equations of lines and planes and solve problems concerning lines and planes

LO15.

Apply/Model - physical problems using matrices and vectors

LO16.

Apply/Model - mathematical induction to prove mathematical statements

LO17.

Apply/Model - differentiation and integration to solve applied problems

LO18.

Apply/Model - the Fundamental Theorem of Calculus, De Moivre's Theorem
and the Fundamental Theorem of Algebra

Assessment

Assessment summary

Category Assessment task Weight Due date
Tutorial/ Problem Set 2 Assignments 25%

27/03/2026 4:00 pm

15/05/2026 4:00 pm

Examination In-semester Examination
  • Hurdle
  • Identity Verified
  • In-person
25%

In-semester Saturday

28/03/2026 - 2/05/2026

The possible dates for the in-semester exam have been updated as of Friday, February 20th.

This semester, in‑semester exams will be held on:

·     Friday 27 March, Saturday 28 March and Sunday 29 March (Week 5)

·     Friday 17 April, Saturday 18 April and Sunday 19 April (Week 7)

·     Saturday 2 May (Week 9)

Exams may be scheduled at any time within these periods:

·     Fridays: 5:00pm or 7:15pm

·     Saturday and Sundays: between 8:00am and 7:15pm

The first exam of the weekend will commence at 8:00am, and the final session will begin at 7:15pm.

You need to keep these days and times free until the in-semester timetable has been released.

Examination End of Semester Examination
  • Hurdle
  • Identity Verified
  • In-person
50%

End of Semester Exam Period

6/06/2026 - 20/06/2026

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

2 Assignments

Mode
Written
Category
Tutorial/ Problem Set
Weight
25%
Due date

27/03/2026 4:00 pm

15/05/2026 4:00 pm

Learning outcomes
L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

Task description

You must submit detailed written solutions to a collection of mathematical problems. You must reference any use of AI.

Submission guidelines

Submit via Blackboard-Gradescope.

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.

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 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.

Solutions for assignments will be released 7 days after the assessment is due and as such, late submission after 7 days from the original time submission is due will not be possible, regardless of approved extensions.

In-semester Examination

  • Hurdle
  • Identity Verified
  • In-person
Mode
Written
Category
Examination
Weight
25%
Due date

In-semester Saturday

28/03/2026 - 2/05/2026

The possible dates for the in-semester exam have been updated as of Friday, February 20th.

This semester, in‑semester exams will be held on:

·     Friday 27 March, Saturday 28 March and Sunday 29 March (Week 5)

·     Friday 17 April, Saturday 18 April and Sunday 19 April (Week 7)

·     Saturday 2 May (Week 9)

Exams may be scheduled at any time within these periods:

·     Fridays: 5:00pm or 7:15pm

·     Saturday and Sundays: between 8:00am and 7:15pm

The first exam of the weekend will commence at 8:00am, and the final session will begin at 7:15pm.

You need to keep these days and times free until the in-semester timetable has been released.

Other conditions
Time limited, Secure.

See the conditions definitions

Learning outcomes
L01, L04, L05, L07, L09, L18

Task description

The examination is closed book.

There will be a range of short answer and problem solving questions. 

Casio FX-82 or approved calculators may be used. Graphical calculators (that is, calculators with text output or a multi-line display) are NOT allowed.

A formula sheet will be provided.

Internally enrolled students

The in-semester exam will be an in-person, paper-based exam. Students will sit the exam at the St Lucia Campus.

Externally enrolled students

The in-semester examination will be invigilated via Zoom.

Hurdle requirements

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

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 Paper based
Invigilation

Invigilated in person

Submission guidelines

Deferral or extension

You may be able to defer this exam.

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

End of Semester Examination

  • Hurdle
  • Identity Verified
  • In-person
Mode
Written
Category
Examination
Weight
50%
Due date

End of Semester Exam Period

6/06/2026 - 20/06/2026

Other conditions
Time limited, Secure.

See the conditions definitions

Learning outcomes
L02, L03, L06, L08, L10, L11, L12, L13, L14, L15, L16, L17

Task description

The examination is closed book.

There will be a range of short answer and problem solving questions. 

Casio FX-82 or approved calculators may be used. Graphical calculators (that is, calculators with text output or a multi-line display) are NOT allowed.

A formula sheet will be provided.

The End of Semester Examination will be an in-person, paper-based exam for all students.

Internally enrolled students

The end-of-semester exam will be an in-person, paper-based exam. Students will sit the exam at the St Lucia Campus.

Externally enrolled students

The end-of-semester exam will be an in-person, paper-based exam. UQ Examinations will contact students directly to confirm arrangements. You will either sit the exam at the St Lucia campus (if you live within 200km radius of the campus) or will be directed to nominate an exam centre by a certain date. 

Please ensure you update your semester address in Si-net at the start of the semester.

One reminder will be sent and students who fail to nominate an exam centre and will be automatically assigned to the St Lucia campus. Late nominations will not be accepted. 

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 Paper based
Invigilation

Invigilated in person

Submission guidelines

Deferral or extension

You may be able to defer this exam.

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

Course grading

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

Grade 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 isᅠat least 20% and less than 45%.

3 (Marginal Fail)

Demonstrated evidence of developing achievement of course learning outcomes

Course grade description: Students will receive this grade if one of the following occurs: (a) their final mark falls between 45% and 49% (inclusive); OR (b) their final mark is greater than or equal to 50% BUT they do not satisfy the exam hurdle.

4 (Pass)

Demonstrated evidence of functional achievement of course learning outcomes.

Course grade description: Students earning a grade of 4 will have achieved a final mark between 50% and 64% (inclusive). In addition the student must satisfy the exam hurdle.

5 (Credit)

Demonstrated evidence of proficient achievement of course learning outcomes.

Course grade description: Students earning a grade of 5 will have achieved a final mark between 65% and 74% (inclusive). In addition the student must satisfy the exam hurdle.

6 (Distinction)

Demonstrated evidence of advanced achievement of course learning outcomes.

Course grade description: Students earning a grade of 6 will have achieved a final mark between 75% and 84% (inclusive). In addition the student must satisfy the exam hurdle.

7 (High Distinction)

Demonstrated evidence of exceptional achievement of course learning outcomes.

Course grade description: Students earning a grade of 7 will have achieved a final mark greater than or equal to 85%. In addition the student must satisfy the exam hurdle.

Additional course grading information

IMPORTANT

You must pass the exam hurdle to achieve a passing grade (4, 5, 6 or 7). The exam hurdle is:

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

OR

(ii) receive at least 80% of the marks available for Section A of the final exam AND 50% of the marks available for the final exam.

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. Supplementary assessment in this course will be a 2-hour examination similar in style to the end-of-semester examination. The supplementary examination will cover the whole course. To receive a passing grade of 3S4, you must receive at least 80% of the marks available for Section A of the supplementary exam AND 50% of the overall marks available on the supplementary examination.

Additional assessment information

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 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

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
Course Lecture Notes Purchase from UQ Print or download from Blackboard own item needed

Additional learning resources information

There is a wealth of learning resources on the course website. These include

  • Prerequisite skills revision guide.
  • Study Guide complementing the course workbook.
  • Online Quizzes. These provide good practice with immediate feedback.
  • Practice Exams (for in-semester and end of semester exams)
  • Past examination questions organised by topics.
  • Past examination papers with worked solutions.


Theᅠ MATHS FIRST YEAR LEARNING CENTREᅠ at St Lucia offers applied class help in Room 442/443 of the Priestley Building (#67). Appointments are not necessary; simply turn up with your questions. Please see Blackboard for details.


OPTIONAL:

The Support Learning Tutorial (SLT) is optional. This class is highly recommended ᅠfor the following groups of students.ᅠ

  • Students who are repeating MATH1050/7050.
  • Students who obtained a grade C for Queensland Methods Mathematics (or equivalent).
  • Students who obtained a grade of 4 or 5 for MATH1040/7040.
  • Students who are returning to maths studies after a significant period.


Check Blackboard for further information about the SLT.ᅠ

What is Plagiarism?ᅠ For help on referencing correctly see ᅠhttp://www.library.uq.edu.au/training/plagiarism.html

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
(16 Feb - 21 Jun)

Not Timetabled

Chapter quizzes

Online quizzes are available on the course website.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

Not Timetabled

Independent work

During the semester students are expected to work on MATH1050 outside of class time to consolidate the information given during lectures, work on applied class problem sheets and assignments, complete extra practice problems and study for examinations. This semester you have access to a UQExtend website which contains extra resources. The UQExtend site link is on Blackboard.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

Multiple weeks

From Week 1 To Week 13
(23 Feb - 31 May)

Lecture

Lectures

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. While attending lectures, students are expected to annotate their course notes as the lecturer works through the notes, and complete the examples in the course notes. Students may choose to attend either face-to-face lectures (on campus) or view the recorded lectures. The online lectures will cover the same content as the face-to-face lectures.

Students have access to a UQExtend website which contains extra resources (pre-recorded videos, quizzes and interactive animations). The UQExtend site link is on Blackboard.



Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

Applied Class

Weekly Applied Classes

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

All classes will be conducted on campus. Consult your personal timetable or Blackboard for times and locations.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

Multiple weeks

From Week 4 To Week 11
(16 Mar - 17 May)

Problem-based learning

Assignments

Students will work on written solutions to a collection of mathematical problems that they will need to download from the course website.

Learning outcomes: L01, L02, L03, L04, L05, L06, L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17, L18

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.