In this course, we will investigate some of the mathematics needed to generate computer images.  This is the mathematics behind computer graphics and the mathematics behind CAD/CAM systems.  In fact, most of the mathematics in this course was developed by engineers and computer scientists, not mathematicians.

For instance, consider the following situation in computer graphics, how do you create the character below from the Pixar short, Geri's Game? What information do you need to specify?  How much information do you need to specify?  How do you modify the shape of the character?  How do you make him move?
 

Geri from Geri's Game	A wireframe model for a car

For a second example, consider the problem of designing of a car body, an airplane wing, an office chair, a keel for a yacht, et cetera (see model above).  This is an example of ab initio design where an object is to be created to satisfy some functional or aesthetic goals.  Frequently, such objects are designed by defining and redefining the object's shape and performing appropriate analysis (simulation) until the design criteria is satisfied.

The above question involve serious mathematics,  including calculus and analytic geometry, euclidean geometry, linear algebra (vectors and matrices), numerical methods, interpolation and approximation theory.  The pre-requisites for this course are MA113 Calculus III and an inquiring mind (MA 221 or MA 371/373  is recommended for a little linear algebra).  The rest of the mathematics required in the course will be developed as needed.