MATH 221 Analytic Geometry & Calculus III
	 Partial derivatives and differential; the chain rule: gradient and directional derivative; derivative of a vector function; tangent planes; critical points and local extrema; Lagrange multipliers;  integration over regions in R2; use of polar coordinates; integration over regions in R3; use of cylindrical and spherical coordinates;  line integrals; conservative vector fields; Green's theorem; surface integrals and divergence theorem; Stokes' theorem.
 
	Cross Listed Courses
MATH 221
	
		Prerequisite
	
MATH 122 (C- or better) or department permission; Not open to students who've earned credit for 
MATH 321 or higher