This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.

This course is a faculty-directed tutorial of appropriate topics that are not part of the formal curriculum. The level of study is appropriate for student in their final two years of study.

This course covers numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and the solution of initial value problems.

Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.

Dissertation research by the candidate for an appropriate topic as arranged between the candidate and the research advisor.

This course is a cooperative education experience for graduate astrophysical sciences and technology students.

This course will provide a basic introduction to modern astrophysics, including the topics of radiation fields and matter, star formation and evolution, and stellar structure. This course will provide the physical background needed to interpret both observations and theoretical models in stellar astrophysics and prepare students for more advanced topics and research in astrophysics.

The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This course provides an introduction to the basic ideas of fluid dynamics, with an emphasis on rigorous treatment of fundamentals and the mathematical developments and issues. The course focuses on the background and motivation for recent mathematical and numerical work on the Euler and Navier-Stokes equations, and presents a mathematically intensive investigation of various models equations of fluid dynamics.