MTH 277 is the Third semester in a three-semester sequence of calculus courses. It is designed for students majoring in math, computer science, engineering or one of the sciences (biology, chemistry, physics, etc). The topics covered in MTH 277 include:

Equations of lines, planes, spheres, cylinders, and quadric surfaces in 3- dimensional space;

Three-dimensional vector functions, their derivatives and higher order derivatives;

Arc length of a vector function, the tangent, normal, binormal, velocity and acceleration vectors, and curvature for a vector function at a given point;

Define limit and continuity of a function of two or three variables;

Define and compute the partial derivative, total derivative, directional derivatives and extrema of functions of two and three variables;

Compute exact differentials and line integrals;

Compute double integrals in Cartesian and polar coordinates; Compute triple integrals in Cartesian, cylindrical, and spherical coordinates;

Green's Theorem;

Compute area, volume, mass and center of mass using double and triple integrals;

Competency in the use of a graphing utility and CAS.  

Presentations

Calculus web sites

http://archives.math.utk.edu/visual.calculus