Multivariable Calculus

About this subject

• What you'll learn

  Upon completion of this unit, students will be able to:

  1. demonstrate a broad theoretical and technical knowledge of vector functions and curves in space, including the concepts of length and curvature;
  2. demonstrate a broad theoretical and technical knowledge of differentiation of multivariable functions, including the inverse mapping theorem and multivariable Taylor formula;
  3. demonstrate a broad theoretical and technical knowledge of multivariable integration and the ability to compute surface and volume integrals; and
  4. demonstrate a broad theoretical and technical knowledge of the integral theorems and demonstrate the ability to apply this knowledge to fluid dynamics.

• Topics covered

• Description

• Assessments

• Textbooks

• About University of New England

Entry requirements

Part of a degree

To enrol in this subject you must be accepted into one of the following degrees:

Elective

• UNE-DSC-DIP-2025 - Diploma in Science

Prior study

You must either have successfully completed the following subject(s) before starting this subject, or currently be enrolled in the following subject(s) in a prior study period; or enrol in the following subject(s) to study prior to this subject:

• UNE-MTHS120-Calculus and Linear Algebra 1

• UNE-MTHS130-Calculus and Linear Algebra 2

Please note that your enrolment in this subject is conditional on successful completion of these prerequisite subject(s). If you study the prerequisite subject(s) in the study period immediately prior to studying this subject, your result for the prerequisite subject(s) will not be finalised prior to the close of enrolment. In this situation, should you not complete your prerequisite subject(s) successfully you should not continue with your enrolment in this subject. If you are currently enrolled in the prerequisite subject(s) and believe you may not complete these all successfully, it is your responsibility to reschedule your study of this subject to give you time to re-attempt the prerequisite subject(s).

Others

To enrol in this subject you will need to pass UNE-MTHS120 and UNE-MTHS130 subjects. Please note as UNE results are released after the close of enrolment date, your enrolment into this subject will be withdrawn if you do not receive a satisfactory result for UNE-MTHS120 and UNE-MTHS130.

Additional requirements

• Equipment requirements - Headphones or speakers (required to listen to lectures and other media). Headset, including microphone (highly recommended). Webcam (may be required for participation in virtual classrooms and/or media presentations).
• Software requirements - It is essential for students to have reliable internet access in order to participate in and complete your units, regardless of whether they contain an on campus attendance or intensive school component. Please refer students to link for requirements: http://www.une.edu.au/current-students/support/it-services/hardware
• Other requirements -

  Textbook information is not available until approximately 8 weeks prior to the commencement of the Teaching period.
  Students are expected to purchase prescribed material.
  Textbook requirements may vary from one teaching period to the next.

Study load

0.125 EFTSL

This is in the range of 10 to 12 hours of study each week.

Equivalent full time study load (EFTSL) is one way to calculate your study load. One (1.0) EFTSL is equivalent to a full-time study load for one year.

Find out more information on Commonwealth Loans to understand what this means to your eligibility for financial support.