covered include grad, div, curl and Laplacian in polar coordinates;
line and surface integrals; theorems of Gauss and Stokes; double and triple
integrals in various coordinate systems; extrema and Taylor series for
multivariate functions; differential geometry in Euclidean 3-space.
This course involves the differentiation and integration of
scalar and vector functions of (up to) 3 independent variables,
with applications. Further topics include partial derivatives,
curves and surfaces
in cartesian, cylindrical, and spherical polar coordinate
systems, single integrals,
differential vector identities, line,
surface, and volume integrals, and Green's theorem.
Applied Mathematics students should take the one-credit course
MATH 2018 during the same term as this course.
Prerequisite:One of AS/SC/MATH 1010 3.0, AS/SC/MATH 1014 3.0,
AS/SC/AK/MATH 1310 3.0, or:
AS/SC/MATH 1505 6.0 plus permission of the
CorequisiteAS/ECON 1000 3.0 or AS/ECON 1010 3.0.
Exclusions:AS/SC/MATH 2010 3.0, AS/SC/AK/MATH 2310 3.0.