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Course profile

Mathematical Foundations II (MATH1050)

Study period
Sem 2 2024
Location
St Lucia
Attendance mode
In Person

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
Study level
Undergraduate
Location
St Lucia
Attendance mode
In Person
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.

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 MATH1040. It is a student's responsibility to fill in any gaps in the assumed knowledge. Revision material is available on the course Blackboard site.

Prerequisites

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

MATH1040; or a grade of C or higher in Queensland Year 12 Mathematical Methods (Units 3 & 4) (or equivalent).

Incompatible

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

MATH1051, MATH1052, MATH7050 (co-taught) or a grade of B or higher in Queensland Year 12 Specialist Mathematics (Units 3 & 4) (or equivalent).

Jointly taught details

This course is jointly-taught with:

  • MATH7050

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.

Course contact

Course staff

Lecturer

Timetable

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

Additional timetable information

Lectures will be delivered on campus, streamed live and recorded for later viewing.ᅠ

All classes will be conducted on campus. Consult your personal timetable for times and locations. Students are expected to attend these sessions unless they have a valid reason for being unable to attend (such as illness). Important: if you are ill, then do not attend any classes in person. Alternative arrangements can be organised – consult Blackboard for details.

There will be no classes on Wednesday 4 August (Week 4, EKKA Wednesday) and Monday 7 October (Week 11, King's Birthday Holiday).

If your workshop is affected, please attend another workshop for that week.

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 Theorem 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 - 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 - critical points of a function, and use the first and second derivative tests to sketch the graph of a function.

LO13.

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

LO14.

Calculate - 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 Workshop Exercise
  • Identity Verified
  • Team or group-based
  • In-person
10%

Weeks 3,7,8,9,10,12,13.

Submission required at the Workshops during these weeks.

Tutorial/ Problem Set 2 Assignments 20%

Assignment 1: 23/08/2024 4:00 pm

Assignment 2: 11/10/2024 4:00 pm

Examination In-semester Examination
  • Identity Verified
  • In-person
15%

Exam will take place Friday of Week 6 (30 August 2024) from 6pm.

Examination Final Examination
  • Hurdle
  • Identity Verified
  • In-person
55%

End of Semester Exam Period

2/11/2024 - 16/11/2024

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

Workshop Exercise

  • Identity Verified
  • Team or group-based
  • In-person
Mode
Product/ Artefact/ Multimedia, Written
Category
Tutorial/ Problem Set
Weight
10%
Due date

Weeks 3,7,8,9,10,12,13.

Submission required at the Workshops during these weeks.

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

Task description

Weeks 3,7,8,9,10,12,13.

Submission required at the Workshops during these weeks.

Submission guidelines

In class - Hand in the collaborative exercise to your tutor at the end of the workshop.

Deferral or extension

You cannot defer or apply for an extension for this assessment.

No extensions on workshop exercises are available. If you are not able to attend your regular workshop, please attend another workshop for that week to submit your exercise. If you are sick please apply for a reweight via myUQ (choose extension option).

Late submission

You will receive a mark of 0 if this assessment is submitted late.

2 Assignments

Mode
Written
Category
Tutorial/ Problem Set
Weight
20%
Due date

Assignment 1: 23/08/2024 4:00 pm

Assignment 2: 11/10/2024 4:00 pm

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

Task description

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

Assignments are released approximately 10 days before the due date.

Submission guidelines

Submit your assignment via 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.

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.

Maximum of 7 days as solutions are released. 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

  • Identity Verified
  • In-person
Mode
Written
Category
Examination
Weight
15%
Due date

Exam will take place Friday of Week 6 (30 August 2024) from 6pm.

Learning outcomes
L01, L04, L05, L07, L09, L15, L18

Task description

The examination will be invigilated on-campus.

The total time for the exam is 10 minutes (reading time) + 90 minutes (working time). 

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

Exam details

Planning time 10 minutes
Duration 90 minutes
Calculator options

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

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 the extension and deferred examination information relating to this assessment item.

Final Examination

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

End of Semester Exam Period

2/11/2024 - 16/11/2024

Task description

The examination will be invigilated on-campus.

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

A formula sheet will be provided.

Hurdle requirements

80% of the SUM of the combined Section A marks from the in-semester and final exams OR 80% of the Section A marks in the final exam AND 40% overall for the final exam

Exam details

Planning time 10 minutes
Duration 120 minutes
Calculator options

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

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 the extension and deferred examination 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) 1 - 19

Absence of evidence of achievement of course learning outcomes.

Course grade description: Students receiving a grade of 1 will have achieved a final mark between 1% and 19% (inclusive).

2 (Fail) 20 - 44

Minimal evidence of achievement of course learning outcomes.

Course grade description: Students earning a grade of 2 will have achieved a final mark between 20% and 44% (inclusive).

3 (Marginal Fail) 45 - 49

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 (i) they do not 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 AND (ii) they do not receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam.

4 (Pass) 50 - 64

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 musteither (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 OR (ii) receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam.

5 (Credit) 65 - 74

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 either (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 OR (ii) receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam.

6 (Distinction) 75 - 84

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 either (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 OR (ii) receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam.

7 (High Distinction) 85 -

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 either (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 OR (ii) receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam.

Additional course grading information

Noteᅠthe requirements to achieve a passing grade (4, 5, 6 or 7). In summary,

(1)ᅠIf you do not receive a total score for the course of at least 50%, then you will fail MATH1050.

(2) If you do not eitherᅠ

(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. ORᅠ

(ii) receive at least 80% of the marks available for Section A of the final exam AND 40% of the marks available for the final exam,

then you will fail MATH1050.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 at least 80% in Section A and 50% or more overall on the supplementary assessment. 

Additional assessment information

It is your responsibility to check that assessment marks have been correctly entered onᅠBlackboard > My Grades. ᅠIf marks are missing or you feel an error has been made in assessing your work then contact the course coordinator as soon as possible, but before the end of Week 13.

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.

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 or download from course Blackboard site 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.
  • UQ Extend.
  • Practice Exams (for in-semester and final exams)
  • Past examination questions organised by topics.
  • Past examination papers with worked solutions.

The ᅠMATHS FIRST YEAR LEARNING CENTRE ᅠat St Lucia offers tutorial help ᅠin ᅠRoom 443 of the Priestley Building (#67). Appointments are not necessary; simply turn up with your questions.ᅠ Please see Blackboard for details.

What is Plagiarism?ᅠ For help on referencing correctly seeᅠhttp://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
Not Timetabled

Chapter quizzes

Online quizzes are available on the course website.

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 watching the lecture recordings, students are expected to annotate their course notes as the lecturer works through the notes, and complete the examples in the course notes. This semester you have access to a UQ Extend website which contains extra resources (pre-recorded videos, quizzes and interactive animations). The UQ Extend site link is on Blackboard.

Learning outcomes: L03, L05, L09, L12, L14

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 tutorial problem sheets and assignments, complete extra practice problems and study for examinations. This semester you have access to a UQ Extend website which contains extra resources. The UQ Extend site link is on Blackboard.

Learning outcomes: L03, L05, L09, L12, L14, L16

Workshop

Weekly Workshop

Workshops provide students with an opportunity for individual assistance. Students will need to download a set of problems from the course website to complete before and during each tutorial, giving them the opportunity to practise mathematical techniques with assistance available from a tutor and/or from their peers. The tutors may also encourage group discussion on the questions covered on the problem sheets. Students will complete a collaborative exercise at the workshop in the weeks indicated under Assessment, and hand in the exercise at the end of the workshop. Tutors may also provide assistance with assignments and other aspects of the course.

Learning outcomes: L03, L05, L09, L12, L14

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: L03, L05, L09, L12, L14

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.