University Of Tasmania

Calculus And Applications 2

KMA 252

Iowa State Course Substitution

Calculus III

MATH 265

Course Info
International Credits:
13.0
Converted Credits:
4.0
Semester:
Spring
Country:
Australia
Language:
English
Course Description:
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.

Review

Evaluation Date:
October 10, 2013
Evaluated:
James Wilson
Comments: