Revised: January 2015
Plane curves, polar coordinates, vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals. Prerequisite: MATH 255. Four semester hours.
By the end of the course students should be able to:
Steward, James. Calculus: Early Transcendentals, 6th edition , Thomson Brooks/Cole, 2008.
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
All sections are to be covered Functions: Three-dimensional coordinate systems, vectors, the dot product, the cross product, equations of lines and planes, cylinders and quadric surfaces.
All sections are to be covered: vector functions and space curves, derivatives and integrals of vector functions, arc length and curvature, motion in space with velocity and acceleration.
All sections are to be covered: functions of several variables, limits and continuity, partial derivatives, tangent planes and linear approximations, the chain rule, directional derivatives and the gradient vector, maximum and minimum values, lagrange multipliers.
All sections are to be covered: double integrals over rectangles, iterated integrals, double integrals over general regions, double integrals in polar coordinates, applications of double integrals, triple integrals, triple integrals in cylindrical coordinates, triple integrals in spherical coordinates, change of variables in multiple integrals
As time allows: vector fields, linea integrals, the fundamental theorem for line integrals, Green’s Theorem, curl and divergence, parametric surfaces and their areas, surface integrals, Stokes’ Theorem
Plus selected topics from Chapter 17 and Chapter 18 as time allows.