MAT 238 Calculus III

Alternate online books:
Whitman , Alternate location
CLP
Openstax
Michael Corral
Paul Dawkins
Gilbert Strang
Any standard printed Calculus book is useful.

Tests

Unit 1:

includes sections 12.1-12.7, 13.1, 13.2, 13.5 : vectors, vector algebra, length, unit vectors, unitization, dot product, angle between vectors, perpendicular vectors, scalar projection, vector projection, parallel and perpendicular components, distance from a line, distance from a plane, cross product, normal vectors, area using the cross product, equations of lines in planes and in space, equations of planes, cylindrical and spherical coordinates, vector functions, derivatives integrals of vector functions, motion in space

Unit 2:

includes sections 14.1-14.7 : multivariable functions, surfaces, tangent planes, contour plots, limits, partial derivatives, functions form R^m to R^n, local linearization, derivative, chain rule, directional derivatives, gradient, critical points, local extrema, second derivative test, global extrema, optimization

Unit 3:

includes sections 14.8-15.6 : Lagrange multipliers, multiple integrals, iterated integrals, changing order of integration, change of variables, integration using polar cylindrical spherical coordinates, applications, volume, average value, mass, center of gravity

Unit 4:

Links: