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Course profile

Mathematical Foundations I (MATH1040)

Study period
Sem 2 2024
Location
Gatton
Attendance mode
In Person

Course overview

Study period
Semester 2, 2024 (22/07/2024 - 18/11/2024)
Study level
Undergraduate
Location
Gatton
Attendance mode
In Person
Units
2
Administrative campus
Gatton
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 (previously Mathematics B). 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 course provides 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 MATH1040 to satisfy a prerequisite. However, MATH1040 is also interesting in its own right, and can help you in everyday life. Many students from other fields take MATH1040 to strengthen their mathematical skills. Several PhD students have completed MATH1040 so they can better understand the mathematics used in their area. Happily, several students have enjoyed MATH1040 so much that they have studied some of the follow-up courses, and at least two MATH1040 students have continued to a PhD in mathematics; why don't you be the third?

Course requirements

Assumed background

There is some assumed background for this course, mainly basic mathematical skills. Links toᅠa revision module on this assumed knowledge will be available on the Learn.UQ site upon enrolment. Students should work through the revision module before semester begins.

Incompatible

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

Grade of B or higher in Qld Year 12 Mathematical Methods (Units 3 & 4) (or equivalent, eg grade of 5 or higher in Mathematical Methods with UQ College or Mathematics with IES Foundation year). MATH7040 (co-taught).

Restrictions

Students are not permitted to take MATH1040 if Mathematical Methods (or equivalent) was an entry requirement for their program.

Course contact

Course staff

Lecturer

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 both lectures. All lectures will be delivered live on campus. All lectures are recorded.

You should attend one workshop per week. Each workshop runs for two hours. You will sign up for a workshop at the start of the semester and should attend the same workshop each week.

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

Aims and outcomes

The aim of this course is for students to reach a standard of mathematics roughly equivalent toᅠQueensland high schoolᅠMathematical Methods. This will enable them toᅠtackleᅠfirst level Mathematics courses such as MATH1050 and then MATH1051, as well as MATH1061 and/or STAT1201. 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 Workshop assessment
  • 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 Assignments
  • Online
20%

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

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

Examination Mid-Semester Exam
  • Hurdle
  • In-person
15%

Exam will take place Friday of Week 6 (30 August 2024) from 3 pm. Please check the Public Timetable for venue.

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 assessment

  • Team or group-based
  • In-person
Mode
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, L16, L17

Task description

You will complete a collaborative exercise at the workshop.

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.

Assignments

  • Online
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

Other conditions
Student specific.

See the conditions definitions

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

Task description

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

Assignment 1 is distributed Friday Week 3 and due Friday Week 5 (4pm).

Assignment 2 is distributed Friday Week 9 and due Friday Week 11 (4pm).

Submission guidelines

Submit 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.

See ADDITIONAL ASSESSMENT INFORMATION for the 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.

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.

Mid-Semester Exam

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

Exam will take place Friday of Week 6 (30 August 2024) from 3 pm. Please check the Public Timetable for venue.

Other conditions
Time limited.

See the conditions definitions

Learning outcomes
L01, L02, L03, L04, L05, L06, L07

Task description

The mid-semester examination will be invigilated on-campus. There are two sections in the exam:

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

Hurdle requirements

See ADDITIONAL COURSE GRADING INFORMATION

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
Materials

Pens, pencil, eraser

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 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

Other conditions
Time limited.

See the conditions definitions

Learning outcomes
L07, L08, L09, L10, L11, L12, L13, L14, L15, L16, L17

Task description

There are two sections in the exam:

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

Hurdle requirements

See ADDITIONAL COURSE GRADING INFORMATION

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
Materials

Pens, pencil, eraser

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 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 will receive a grade 1 if their total score for the course is less than 20%

2 (Fail)

Minimal evidence of achievement of course learning outcomes.

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

3 (Marginal Fail)

Demonstrated evidence of developing achievement of course learning outcomes

Course grade description: Students will receive a grade 3 if (a) their total score for the course is at least 45% and less than 50%;OR (b) their total score for the course is greater than or equal to 50%; BUT they do not achieve either: - at least 70% of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam; OR - at least 70% of the marks available for Section A of the final exam AND at least 40% of the marks available in Section B of the 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 ALLof the following requirements: (a)their total score for the course isat least 50% and less than 65%; AND (b) they either: (i)receive at least 70%of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam;OR (ii)receive at least 70% of the marks available for Section A of the final exam AND at least 40% of the marks available in Section B of the final exam.

5 (Credit)

Demonstrated evidence of proficient achievement of course learning outcomes.

Course grade description: Students will receive a grade 5 if they satisfy ALL of the following requirements: (a) their total score for the course is at least 65% and less than 75%; AND (b) they either: (i) receive at least 70% of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam; OR (ii) receive at least 70% of the marks available for Section A of the final exam AND at least 40% of the marks available in Section B of the final exam.

6 (Distinction)

Demonstrated evidence of advanced achievement of course learning outcomes.

Course grade description: Students will receive a grade 6 if they satisfy ALL of the following requirements: (a) their total score for the course is at least 75% and less than 85%; AND (b) they either: (i) receive at least 70% of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam; OR (ii) receive at least 70% of the marks available for Section A of the final exam AND at least 40% of the marks available in Section B of the final exam.

7 (High Distinction)

Demonstrated evidence of exceptional achievement of course learning outcomes.

Course grade description: Students will receive a grade 7 if they satisfy ALL of the following requirements: (a) their total score for the course is at least 85%; AND (b) they either: (i) receive at least 70% of the sum of marks available for Section A of the mid-semester exam and Section A of the final exam; OR (ii) receive at least 70% of the marks available for Section A of the final exam AND at least 40% of the marks available in Section B of the final exam.

Additional course grading information

IMPORTANT!!! Note the course's requirements to achieve a passing grade (4, 5, 6 or 7).

(1)ᅠIf you do not receive a total score for the course of at least 50%, then you will fail MATH1040.

(2) If you do not either

ᅠ ᅠ ᅠ ᅠ (i) receive at least 70% of the sum of the 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 70% of the marks available for Section A of the final exam AND 40% of the marksᅠavailable in Section B of the final exam,

then you will fail MATH1040.ᅠ

Supplementary assessment

Supplementary assessment is available for this course.

Additional assessment information

Please ensure you check your results to the assessments have been entered correctly.

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

Library resources are available on the UQ Library website.

Additional learning resources information

In addition to the lecture notes, students will have:

  • Problem sheets
  • Online Quizzes
  • Practice problems for the mid-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. Itᅠis therefore very important that students regularly checkᅠBlackboard.

TheᅠMATHS FIRST YEAR LEARNING CENTRE (FYLC)ᅠatᅠSt Lucia holds support sessions beginning the first week of semester. Please refer to Blackboard for times and locations.


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 Week 1 To Week 13

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 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 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

Workshop

Workshop

Workshops provide students with an opportunity to practise mathematical techniques with assistance available from a tutor and/or from their peers. Students will complete a collaborative exercise at the workshop in Weeks 3,7,8,9,10,12,13,. 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

Multiple weeks

From Week 1 To Revision week

Not Timetabled

Independent work

During the semester students are expected to work on MATH1040 outside of class time to consolidate the information given during lectures, work on workshop 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

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.