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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
Unit code KMA252
Credit points 12.5
Faculty/School College of Sciences and Engineering
School of Natural Sciences
Discipline Mathematics
Teaching staff

Dr M Brideson

Level Intermediate
Available as student elective? Yes
Breadth Unit? No



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Mutual Exclusions

You cannot enrol in this unit as well as the following:

  • KME271


Teaching Pattern

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%)

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