6 points, SCA Band 2, 0.125 EFTSL
Undergraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Faculty
Organisational Unit
School of Mathematical Sciences
Chief examiner(s)
Associate Professor Todd Oliynyk
Coordinator(s)
Associate Professor Todd Oliynyk
(Semester 1)
Dr Yann Bernard
(Semester 2)
Unit guides
Synopsis
Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. Use of a computer algebra package.
Outcomes
On completion of this unit students will be able to:
- Understand and apply multivariable calculus to problems in the mathematical and physical sciences;
- Find and classify the extrema of functions of several variables;
- Compute Taylor series for functions of several variables;
- Compute line, surface and volume integrals in Cartesian, cylindrical and spherical polar coordinates;
- Apply the integral theorems of Green, Gauss and Stokes;
- Use computer algebra packages to solve mathematical problems;
- Present a mathematical argument in written form.
Assessment
NOTE: From 1 July 2019, the duration of all exams is changing to combine reading and writing time. The new exam duration for this unit is 3 hours and 10 minutes.
End of semester examination (3 hours): 60% (Hurdle)
Continuous assessment: 40% (Hurdle)
Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for both the end-of-semester examination and continuous assessment components.
Workload requirements
Three 1-hour lectures and one 2-hour applied class per week
See also Unit timetable information