Calculus & Linear Algebra II (MATH2001)

Course overview

Second order differential equations; undetermined coefficients, variation of parameters. Multi-dimensional calculus; surface & volume integrals, cylindrical, spherical and general coordinate transformations. Stoke's & Green's theorems, applications (flux, heat equations). Linear algebra, diagonalisation, quadratic forms, elementary numerical linear algebra. Taylor series, maxima, minima and saddle points in N-dimensions. Method of least squares for functions. Vector spaces, norms and inner products (for square-integrable functions). Gram-Schmidt orthogonalisation and orthogonal matrices.

MATH2001 covers four major topics: ordinary differential equations, integral calculus, vector calculus, and linear algebra.ﾠ The goal of this course is to give its students a strong knowledge base of the fundamentals of each of these topics, and skills to apply this knowledge to solving a wide variety of problems.

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 essential for fostering a rich culture of knowledge sharing and meaningful exploration. We hold both students and staff accountable for actively contributing to the establishment of a respectful and supportive learning environment.

Bullying, harassment, and discrimination in any form are strictly against our principles and against UQ Policy, and will not be tolerated. We have developed a suite of resources to assist you in recognising, reporting, and addressing such behaviour. If you have any concerns about your experience in this course, we encourage you to tell a member of the course teaching team, or alternatively contact an SMP Classroom Inclusivity Champion (see Blackboard for contact details). Our Inclusivity Champions are here to listen, to understand your concerns, and to explore potential actions that can be taken to resolve them. Your well-being and a positive learning atmosphere are of utmost importance to us.

Course requirements

Assumed background

You will need a working knowledge of the topics covered in MATH1051/MATH1071 and MATH1052/MATH1072. In particular you must be able to: solve linear and separable first-order, and second-order linear differential equations; evaluate integrals and line integrals; solve systems of equations, find the eigenvalues and eigenvectors of a 2x2 matrix. Topics introduced in level 1 courses may also appear in assessment in MATH2001.

Prerequisites

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

(MATH1051 or MATH1071) and (MATH1052 or MATH1072)

Incompatible

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

MATH2000, MATH2901 (advanced) and MATH7000 (co-taught).

Jointly taught details

This course is jointly-taught with:

MATH2001 and MATH7000 are co-badged courses and will share learning activities. MATH7000 will have some differences in assessment to evaluate students at Level 9 (Masters) of the Australian Qualifications Framework.

Course contact

Course staff

Timetable

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

Additional timetable information

Lectures and Tutorials will be on campus. Lectures will also be live-streamed. Please refer to your Timetable for the times and locations. Zoom links for live streaming will be provided on Blackboard.

There are no tutorials in week 1.ﾠ

Note: ﾠIn Week 5, Monday --Wednesday, 30, 31 December and 1 January (New Year's Day) will not have classes and tutorials. Alternative arrangements for Week 5 will be notified in blackboard during the first half of the course.

Aims and outcomes

MATH2001 aims to give the student a broad range of mathematical skills and to extend their knowledge of integral calculus, vector calculus and linear algebra. The student should be able to use related techniques to solving both pure and applied mathematical problems.

Learning outcomes

After successfully completing this course you should be able to:

Assessment

Assessment summary

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

Assignment 1

Mode

Written

Category

Tutorial/ Problem Set

Weight

13%

Due date

19/12/2024 2:00 pm

Task description

Submission guidelines

Assignments must be submitted online via Blackboard. The submission link for each assignment and Electronic Submission Guidelines are provided on the Blackboard course webpage.

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 are planned to 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 the 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. 

Assignment 2

Mode

Written

Category

Tutorial/ Problem Set

Weight

14%

Due date

9/01/2025 2:00 pm

Task description

Submission guidelines

Assignments must be submitted online via Blackboard. The submission link for each assignment and Electronic Submission Guidelines are provided on the Blackboard course webpage.

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 are planned to 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 the 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. 

Assignment 3

Mode

Written

Category

Tutorial/ Problem Set

Weight

13%

Due date

23/01/2025 2:00 pm

Task description

Submission guidelines

Assignments must be submitted online via Blackboard. The submission link for each assignment and Electronic Submission Guidelines are provided on the Blackboard course webpage.

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 are planned to 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 the 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. 

Final Examination

• Hurdle

Mode

Written

Category

Examination

Weight

60%

Due date

End of Semester Exam Period

1/02/2025 - 8/02/2025

Task description

Hurdle requirements

Exam details

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.

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

Important note - Assignment marks

Your tutor will record your assignment marks online. It is your responsibility to check that the mark is recorded and entered. You can view your marks in the "My Grades" section of the Blackboard courseﾠwebsite. Please email the course coordinator about incorrect or missing assignment marks within two weeks of the due date of an assignment. No discussions will be entertained more than two weeks after the due date of a given assignment.

Artificial Intelligence

This assessment task evaluates students' abilities, skills and knowledge without the aid of generative Artificial Intelligence (AI) or Machine Translation (MT). Students are advised that the use of AI or MT technologies to develop responses is strictly prohibited and may constitute student misconduct under the Student Code of Conduct.

Applications for Extensions to Assessment Due Dates

Extension requests are submitted online via my.UQ – applying for an extension. Extension requests received in any other way will not be approved. Additional details associated with extension requests, including acceptable and unacceptable reasons, may be found at my.UQ.

Please note:

• Requests for an extension to an assessment due date must be submitted through your my.UQ portal and you must provide documentation of your circumstances, as soon as it becomes evident that an extension is needed. Your application must be submitted on or before the assessment item's due date and time.
• Solutions for assessment item/s are planned to be released 7 days after the assessment is due, and as such, an extension after 7 days will not be possible. 
• 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

Additional learning resources information

Any earlier or more recent version of the listed texts are OK to use. Please make use of the "index" at the back of the book to search for relevant topics.

For the opening sections on O.D.E.s, relevant sections of the text by Boyce and DiPrima, "Elementary Differential Equations and Boundary Value Problems" (11th edition), may be helpful. This is available >> here << online via the UQ library.

Learning activities

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

Additional learning activity information

There are two ways students can engage with the lecture content. Students should choose one of the following two options:

(i) Attend six hours of lectures per week on campus. Theory will be covered, along with core examples designed to highlight the most important aspects. It is intended that recordings of these lectures will be made available in the Blackboard course website. There will also be at most two pre-recorded lectures per week that students should watch in addition to the on-campus lectures. This online-only content presents core material not covered in the lectures, and each topic is clearly marked as such in the Blackboard week-by-week presentation. These pre-recorded lectures will be accessible in the Blackboard "Learning Resources" via the weekly modules, and will be clearly marked as "online content only".

(ii) Pre-recorded lectures from a previous semester are available to students in the Blackboard "Learning Resources" within each week's content folder. All the core lecture content can be accessed and viewed in this way via these online modules. It is very important for students choosing this option to keep up with the work, so such students should aim to watch all the videos contained in each weekly module during that particular week. There will be roughly eight chapters of the lecture workbook covered per week.

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:

• Student Code of Conduct Policy
• Student Integrity and Misconduct Policy and Procedure
• Assessment Procedure
• Examinations Procedure
• Reasonable Adjustments - Students Policy and Procedure

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