By arrangement with the instructor directing the PhD dissertation. May be repeated up to a maximum of 45 credits.
Prerequisite: enrollment in the PhD program

From time to time, depending on student demand, a seminar will be offered on advanced topics in current computer science. May be repeated.
Prerequisite: permission of instructor

Individual reading and research on current topics in computer science. May be repeated up to a maximum of 18 credits.
Prerequisite: permission of instructor

Covers the fundamental concepts in the field of scientific, engineering, biomedical, and information visualization. Emphasizes the representation of scalar, vector, and tensor fields, data sampling and resampling; reconstruction using multivariate, multivalued finite elements, surfaces, volumes, and functions on surfaces; and volumetric rendering techniques. Prerequisites: graduate standing.
Prerequisite: CS485 and MA344; or permission of instructor.

omputational methods for solving systems of linear equations. Presents background in linear algebra theory and computational techniques. Typical topics include finite element methods, conjugate gradient methods, other iterative methods, and direct methods. Emphasizes modern computational approaches.
Prerequisites: graduate standing; MA344 or MA430 are recommended; or permission of instructor.

Topics include introduction to molecular biology, DNA sequence assembly, fast database searching, sequence alignment, and gene recognition.
Prerequisites: graduate standing and permission of instructor.

Covers the fundamental concepts in geometric modeling used in computer graphics, animation, visualization, computer-aided design, and geometric design. Emphasizes the representation of geometric shapes, including solids and surface models and accompanying operations; shape modeling, including various parametric curves and surfaces such as Bézier, rational Bézier, B-spline and NURBS (i.e., Non-Uniform Rational B-Spline) curves and surfaces and other techniques for designing patches; implicit curves and surfaces; surface intersection, blending and offsetting; applied computational geometry; and issues in designing robust geometric algorithms.
Prerequisites: graduate standing; CS485 and MA344; or permission of instructor.

May be repeated. Depending on student demand, a seminar will be offered on topics in current computational science and engineering research.
Prerequisite: permission of instructor.

By arrangement with the instructor directing the PhD dissertation. May be repeated up to a maximum of 45 credits.
Prerequisite: Enrollment in the Ph.D. Program

From time to time, depending on student demand, a seminar will be offered on advanced topics in current computational science and engineering research. May be repeated.
Prerequisite: permission of instructor

Individual reading and research on current topics in computational science and engineering. May be repeated up to a maximum of 18 credits.
Prerequisite: permission of instructor