This unit extends concepts from single variable calculus (KMA152 and KMA154) into the domain of several variables. Particular attention is given to the 3 dimensional Cartesian, cylindrical, and spherical coordinate systems.
Topics include the analysis of general surfaces, quadric surfaces and contour surfaces; parameterisation of surfaces; partial derivatives leading to the chain rule, tangent plane, 2D Taylor series, directional derivatives and gradients, and constrained and unconstrained optimisation; double and triple integrals and change of variables using the Jacobian; vector calculus including vector fields, gradient vector fields, line integrals, surface integrals, divergence, curl, Green's Theorem in the Plane, Gauss' Divergence Theorem, and Stokes' Theorem; and 1D Fourier Series.
|Unit name||Calculus and Applications 2|
|Faculty/School||Faculty of SET, AMC, IMAS
School of Physical Sciences
|Discipline||Mathematics and Physics|
|Available as student elective?||Yes|
|Location||Study period||Attendance options||Available to|
- International students
- Domestic students
Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
Special approval is required for enrolment into TNE Program units.
|Study Period||Start date||Census date||WW date||End date|
* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).
Unit census dates currently displaying for 2018 are indicative and subject to change. Finalised census dates for 2018 will be available from the 1st October 2017.
|Band||Field of Education|
Fees for next year will be published in October. The fees above only apply for the year shown.
Please note: international students should refer to this page to get an indicative course cost.
You cannot enrol in this unit as well as the following:
3x1-hr lectures, 1-hr tutorial weekly, 1- hr lab session approximately every three weeks.
2-hr exam (70%), assignments (20%), on-line tests (10%)
|Timetable||View the lecture timetable | View the full unit timetable|
Information about any textbook requirements will be available from mid November.
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.