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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.
- Topics will be available to enrolled students in the subjects Learning Management System site approximately one week prior to the commencement of the teaching period.
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:
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)
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 Please note as UNE results are released after the close of enrolment date, your enrolment into this subject will be withdrawn if you do not receive a satisfactory result for UNE-MTHS120 and UNE-MTHS130.
- 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 - Please refer students to link for requirements: http://www.une.edu.au/current-students/support/it-services/hardware 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.
- Travel requirements - Travel may be required to attend the Final Examination for this subject.
- 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.
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 subject 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.
Assessment 1 to Assessment 10: Notes Problem-based assignments. Relates to Learning Outcomes 1, 2, 3, 4. Final Examination: 3 hrs 15 mins. It is mandatory to pass this examination in order to pass this unit. Relates to Learning Outcomes 1, 2, 3, 4. UNE manages supervised exams associated with your UNE subjects. Prior to census date, UNE releases exam timetables. They’ll email important exam information directly to your UNE email address.
- Assessment 1 (4%)
- Assessment 2 (4%)
- Assessment 3 (4%)
- Assessment 4 (4%)
- Assessment 5 (4%)
- Assessment 6 (4%)
- Assessment 7 (4%)
- Assessment 8 (4%)
- Assessment 9 (4%)
- Assessment 10 (4%)
- Final Examination (60%)