A listing of all courses offered by the math department are at http://catalog.iastate.edu/azcourses/math/ The postbaccalaureate students will generally take specially designed courses, that serve also gradate students and advanced undergraduate students.
Students will get individual help with choosing the right classes based on their skills and goals before the semester begins.
A development of the real numbers. Study of metric spaces, completeness, compactness, sequences, and continuity of functions. Differentiation and integration of real-valued functions, sequences of functions, limits and convergence, equicontinuity.
Advanced topics in applied linear algebra including eigenvalues, eigenvalue localization, singular value decomposition, symmetric and Hermitian matrices, nonnegative and stochastic matrices, matrix norms, canonical forms, matrix functions. Applications to mathematical and physical sciences, engineering, and other fields.
Analysis of data from designed experiments and observational studies. Randomization-based inference; inference on group means; nonparametric bootstrap; pairing/blocking and other uses of restricted randomization. Use of linear models to analyze data; least squares estimation; estimability; sampling distributions of estimators; general linear tests; inference for parameters and contrasts. Model assessment and diagnostics; remedial measures; alternative approaches based on ranks.
Basic theory of ordinary differential equations, existence and uniqueness theorems, linear systems, linearization and stability, ODE models in biology and physics, modeling with partial differential equations, dynamical systems techniques.
Groups, rings, fields, Lie algebras and applications. Emphasis on rings and fields.
First order Euler method, high order Runge-Kutta method, and multistep method for solving ordinary differential equations. Finite difference and finite element methods for solving partial differential equations. Local truncation error, stability, and convergence for finite difference method. Numerical solution space, polynomial approximation, and error estimate for finite element method.
Development of skills in mathematical modeling through practical experience. Use of computational methods to investigate mathematical models. Students will work in groups on specific projects involving real-life problems that are accessible to their existing mathematical backgrounds, and make oral and written presentations of results.
Combinatorial counting, binomial theorem, estimates of factorial, inclusion-exclusion principle, permutations without fixed points, double counting, graphs, subgraphs, graph score, connectivity, triangle-free graphs, graph isomorphism, planar graphs, points in general position, H-polytope, V-polytope, cyclic polytope, Farkas lemma, linear programming and duality.
Participants will be assigned mentors from faculty as well as from graduate students. A special section of MATH 591 will offered for postbaccalaureate students. The seminar will include preparation of materials for application to grad school, preparation for GRE exams, panels with graduate students and other professional development activities.
Postbaccalaureate graduate students will be funded by teaching assistantships. Hence the students will lead recitations in classes such as calculus. The duties will usually include running two to three recitations per week, holding office hours, grading quizzes and exams, and proctoring exams.
The teaching assistantships come with coverage of 1/2 of the tuition and they provide sufficient $ support to cover living expenses in Ames and the other 1/2 of the tuition.
The students in the program will participate in usual departmental life. That means attending seminars, colloquia, and other events organized in the department. We have applied for financial support for student travel to conferences. Students may also participate in EDGE or MOCA.