Course coordinator
Yao-Zhong Zhang is the lecturer for the first half (i.e. the ODEs and Linear Algebra sections) of the course.
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.ᅠThe 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.
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.
You can't enrol in this course if you've already completed the following:
MATH2000, MATH2001 (co-taught)
Yao-Zhong Zhang is the lecturer for the first half (i.e. the ODEs and Linear Algebra sections) of the course.
The timetable for this course is available on the UQ Public Timetable.
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).ᅠ
There are no tutorials in week 1.ᅠNote:ᅠWednesday 14ᅠAugust and Monday 7ᅠOctober are public holidays. There will be no classes on these days. If you have a tutorial on one of these days, you may attend any of the other tutorial groups for that week only.
MATH7000 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.
After successfully completing this course you should be able to:
LO1.
Solve a variety of first order and second order Ordinary Differential Equations (ODEs)
LO2.
Derive properties of the hyperbolic functions and apply them in various mathematical contexts.
LO3.
Understand and apply aspects of the theory of multi-dimensional integrals, using a variety of coordinate systems.
LO4.
Apply differential calculus to the context of vector functions. Specifically, work with Grad, Div and Curl and understand their significance.
LO5.
Apply integral calculus to the context of vector functions. Specifically, use surface and flux integrals, and the theorems of Green, Gauss and Stokes.
LO6.
Understand and apply eigenvalues, eigenvectors and diagonalisation of matrices in a variety of contexts.
LO7.
Apply concepts of orthogonality and inner product spaces to the method of least squares, best fit and function approximation
LO8.
Model and solve problems with real-world application using mathematical techniques covered in this course.
LO9.
Present clear and concise mathematical arguments in assignments and exams.
Category | Assessment task | Weight | Due date |
---|---|---|---|
Tutorial/ Problem Set | 4 Assignments | 40% |
Assignment 1: 16/08/2024 4:00 pm Assignment 2: 6/09/2024 4:00 pm Assignment 3: 4/10/2024 4:00 pm Assignment 4: 25/10/2024 4:00 pm |
Examination |
Final Examination
|
60% |
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.
Assignment 1: 16/08/2024 4:00 pm
Assignment 2: 6/09/2024 4:00 pm
Assignment 3: 4/10/2024 4:00 pm
Assignment 4: 25/10/2024 4:00 pm
Assignments must be downloaded from the course blackboard website. Your assignments will comprise of questions extending the problem-solving techniques based on practice problems and exercises covered in the course workbook. You must submit detailed written solutions to a collection of mathematical problems.
Submit this assessment item through the link in Blackboard
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 and deferred examination information relating to this assessment item.
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.
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.
End of Semester Exam Period
2/11/2024 - 16/11/2024
The final examination in this course will be held during the end-of-semester examination period. It will be an in-person exam held on campus.
Planning time | 10 minutes |
---|---|
Duration | 120 minutes |
Calculator options | No calculators permitted |
Open/closed book | Closed Book examination - no written materials permitted |
Exam platform | Paper based |
Invigilation | Invigilated in person |
You may be able to defer this exam.
See ADDITIONAL ASSESSMENT INFORMATION for the extension and deferred examination information relating to this assessment item.
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: To achieve a grade of 1, a student must achieve an overall mark of less than 20%. |
2 (Fail) |
Minimal evidence of achievement of course learning outcomes. Course grade description: To achieve a grade of 2, a student must achieve an overall mark of at least 20%, and not meet the requirements for a higher grade. |
3 (Marginal Fail) |
Demonstrated evidence of developing achievement of course learning outcomes Course grade description: To achieve a grade of 3, a student must achieve an overall mark of at least 45% and a mark of at least 35% on the final exam, and not meet the requirements for a higher grade. |
4 (Pass) |
Demonstrated evidence of functional achievement of course learning outcomes. Course grade description: To achieve a grade of 4, a student must achieve an overall mark of at least 50% and a mark of at least 38% on the final exam, and not meet the requirements for a higher grade. |
5 (Credit) |
Demonstrated evidence of proficient achievement of course learning outcomes. Course grade description: To achieve a grade of 5, a student must achieve an overall mark of at least 65%, and not meet the requirements for a higher grade. |
6 (Distinction) |
Demonstrated evidence of advanced achievement of course learning outcomes. Course grade description: To achieve a grade of 6, a student must achieve an overall mark of at least 75%, and not meet the requirements for a higher grade. |
7 (High Distinction) |
Demonstrated evidence of exceptional achievement of course learning outcomes. Course grade description: To achieve a grade of 7, a student must achieve an overall mark of at least 85%. |
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.
Assignment submission
Electronic assignment submission will be available through blackboard.
Important note
Tutors will record your assignment marks on Blackboard. It is your responsibility to check that the mark is correctly recorded. Noᅠdiscussion about incorrect or missing assignment marks will be entertained more than a week after marks are released.
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:
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:
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.
Find the required and recommended resources for this course on the UQ Library website.
If we've listed something under further requirement, you'll need to provide your own.
Item | Description | Further Requirement |
---|---|---|
MATH2001/7000 Course Workbook | This Workbook is available as a PDF from the course Blackboard page. A hard copy is also available from UQ Print. The workbook covers all the lecture material presented throughout the semester. Students should bring this document to all lectures. | own item needed |
Any more recent editions 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.
The learning activities for this course are outlined below. Learn more about the learning outcomes that apply to this course.
Filter activity type by
Learning period | Activity type | Topic |
---|---|---|
Multiple weeks From Week 1 To Week 13 |
Lecture |
Course lectures Lectures will be on-campus. There are 3 face-to-face lectures per week. |
Lecture |
Pre-recorded Online Only Lectures Most weeks there is one pre-recorded lecture that students should watch, that will not be covered in contact lectures |
|
Multiple weeks From Week 2 To Week 13 |
Tutorial |
Tutorials Tutorials provide students with an opportunity for individual assistance with the course and with the assignments. To get the most out of the tutorials, students should attempt problems beforehand. The tutorial sheets will not be distributed in class but can be downloaded from the course Blackboard page. |
There are two ways students can engage with the lecture content. Students may choose one of the following two options:
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.