Hobart
Introduction
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.
Summary 2021
Unit name | Calculus and Applications 2 |
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Unit code | KMA252 |
Credit points | 12.5 |
Faculty/School | College of Sciences and Engineering School of Natural Sciences |
Discipline | Mathematics |
Teaching staff | |
Level | Intermediate |
Available as student elective? | Yes |
Breadth Unit? | No |
Availability
Note
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* 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).
Fees
Requisites
Prerequisites
Mutual Exclusions
You cannot enrol in this unit as well as the following:
- KME271
Teaching
Teaching Pattern | 3x1-hr lectures, 1-hr tutorial weekly, 1- hr lab session approximately every three weeks. |
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Assessment | 2-hr exam (70%), assignments (20%), on-line tests (10%) |
Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
Required | Information about any textbook requirements will be available from mid November. |
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