Key facts
UNE unit code: PMTH212
*You are viewing the 2024 version of this unit which may be subject to change in future.
- Trimester 1 - On Campus
- Trimester 1 - Online
- Armidale Campus
- Yes
- No
- Yes
- 6
Unit information
Multivariable calculus has diverse applications across many fields, from modelling and studying dynamic systems in engineering and social science, to analysing and forecasting stock market activity.
This unit builds on your understanding of the basic concepts of single variable calculus, generalising these concepts to functions of two or more variables.
Focusing on both theoretical and technical aspects, you will explore basic geometrical topics on curves and surfaces in relation to multivariable functions. You will also examine limits and continuity, differentiability and partial derivatives, inverse and implicit mapping theorems, multivariable Taylor formula, extreme values, double and triple integrals, line integrals and the integral theorems.
Applying your knowledge to fluid dynamics and using the principles of multivariable calculus, the unit will help you to fine tune your ability to solve complex real-world mathematical problems.
Offerings
For further information about UNE's teaching periods, please go to Principal Dates.
| Teaching period | Mode/location |
|---|---|
| Trimester 1 | On Campus, Armidale Campus |
| Trimester 1 | Online |
*Offering is subject to availability
Intensive schools
There are no intensive schools required for this unit.
Enrolment rules
Notes
Please refer to the student handbook for current details on this unit.
Unit coordinator(s)
Learning outcomes
Upon completion of this unit, students will be able to:
- demonstrate a broad theoretical and technical knowledge of vector functions and curves in space, including the concepts of length and curvature;
- demonstrate a broad theoretical and technical knowledge of differentiation of multivariable functions, including the inverse mapping theorem and multivariable Taylor formula;
- demonstrate a broad theoretical and technical knowledge of multivariable integration and the ability to compute surface and volume integrals; and
- demonstrate a broad theoretical and technical knowledge of the integral theorems and demonstrate the ability to apply this knowledge to fluid dynamics.
Assessment information
Assessments are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
| Title | Must Complete | Weight | Offerings | Assessment Notes |
|---|---|---|---|---|
| Assessment 01 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 02 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 03 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 04 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 05 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 06 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 07 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 08 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 09 | Yes | 4% | All offerings | Problem-based assignment. |
| Assessment 10 | Yes | 4% | All offerings | Problem-based assignment. |
| Final Examination | Yes | 60% | All offerings | It is mandatory to pass this examination in order to pass this unit. |
Learning resources
Textbooks are subject to change up to 8 weeks prior to the start of the teaching period in which you are undertaking the unit.
Note: Recommended material is held in the University Library — purchase is optional.
Calculus Early Transcendentals
ISBN: 9781119778189
Anton, H., John Wiley and Sons Inc 12th ed. 2021
Text refers to: All offerings
Note: Referenced material is held in the University Library — purchase is optional.
Mathematical Analysis II
ISBN: 9783662489918
Zorich, V.A., Springer 2nd ed. 2016
Text refers to: All offerings
Mathematical Analysis I
ISBN: 9783540874515
Zorich, V.A., Springer 2004
Text refers to: All offerings
A five-star experience
Five Stars,
18 Years in a Row
UNE is the only public uni in Australia awarded 18 straight years of five stars for Overall Experience
Good Universities Guide 2007-2024
No.1 in NSW for
Student Experience
QILT (government-endorsed) ranks UNE as the top public NSW uni for Student Experience
QILT Student Experience Survey
Five Stars for
Teaching Quality
UNE rates among the top 20 per cent of universities in Australia for Teaching Quality
Good Universities Guide 2024
Studying online
At UNE we know it takes more than just being online to be a great online university. It takes time and experience. We pioneered distance education for working adults back in the 1950s, so we’ve been doing this longer than any other Australian university.
We understand the challenges faced by busy adults studying at home. We know that a vital part of online study is your engagement with the learning community. Communication with your classmates, teaching staff and university support staff will enhance your study experience and ensure that your skills extend beyond the subject matter. UNE’s teaching staff are experts in their field which is why UNE consistently receives five stars from students for teaching quality, support and overall experience.*
*The Good Universities Guide
Stay connected
Register your interest and we'll keep you updated
Why study with us?
I'm grateful to UNE for the opportunities studying has given me, but above all, for making me realise I could actually do it, and giving me a sense of accomplishment.
What happens next?
Got any questions about a course you would like to study? Don’t hesitate to contact us, our Future Student team is standing by to help.
2024 applications are now open. The application process only takes 20 minutes to complete. Don’t delay, apply now!
Your start date is based on the study period you choose to apply for.
