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Course profile

Mathematical Foundations II (MATH7050)

Study period
Sem 2 2024
Location
External
Attendance mode
Online

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
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.

MATH7050 exposes studentsᅠto the most important parts of the mathematics needed at University and for teaching in theᅠlater years of high school. It is designed for students with secondary school Mathematical Methods (or Maths B or MATH7040), and gives a knowledge of mathematics roughly equivalent to Queensland high school Specialist Mathematics. However, there are additional assessment tasks which will require a high level of experience and sophistication in teaching methods.

This course covers functions, differentiation, integration, ᅠvectors, matrices, lines and planes, and complex numbers.

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.

Jointly taught details

This course is jointly-taught with:

  • MATH1050

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

Mr Chris Powell

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 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% Equally weighted

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

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

Examination In-semester Examination 20%

Friday Week 6

Commencing at 6 pm

Examination Final Examination
  • Hurdle
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

2 Assignments

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

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

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

Task description

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

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.

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.

In-semester Examination

Mode
Written
Category
Examination
Weight
20%
Due date

Friday Week 6

Commencing at 6 pm

Task description

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

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

Exam details

Planning time 10 minutes
Duration 90 minutes
Calculator options

(online) Casio FX82 series or UQ approved calculator only

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 and deferred examination information relating to this assessment item.

Final Examination

  • Hurdle
Mode
Written
Category
Examination
Weight
55%
Due date

End of Semester Exam Period

2/11/2024 - 16/11/2024

Task description

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

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. 

Hurdle requirements

See grade descriptions

Exam details

Planning time 10 minutes
Duration 120 minutes
Calculator options

(online) Casio FX82 series or UQ approved calculator only

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

Invigilated by Zoom

Submission guidelines

Deferral or extension

You may be able to defer this exam.

See ADDITIONAL ASSESSMENT INFORMATION for extension and deferred examination 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 receiving a grade of 1 will have achieved a final mark between 1% and 19% (inclusive).

2 (Fail)

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)

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%ᅠ BUTᅠ (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 ANDᅠ (ii) they do not 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.

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 ᅠeither (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 50% of the marks available for the final exam. ᅠ

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 ᅠeither (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 50% of the marks available for the final exam.

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 ᅠeither (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 50% of the marks available for the final exam.

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 ᅠeither (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 50% of the marks available for the final exam.

Additional course grading information

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

(1) If you do not receive a total score for the course of at least 50%, then you will fail MATH7050.

(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 50% of the marks available for the final exam,

then you will fail MATH7050.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

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 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.


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

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

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


The ᅠMATHS FIRST YEAR LEARNING CENTREᅠat St Lucia offers tutorial helpᅠinᅠRoom 443 of the Priestley Building (#67). Appointments are not necessary; simply turn up with your questions. 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
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 LearnX website which contains extra resources (pre-recorded videos, quizzes and interactive animations). The LearnX site link is on Blackboard.

Not Timetabled

Independent work

During the semester students are expected to work on MATH7050 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 LearnX website which contains extra resources. The LearnX site link is on Blackboard.

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 may choose to work on a collaborative exercise. Tutors may also provide assistance with assignments and other aspects of the course.

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.

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.