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Fall 2017

Math 793I. SPTP: Spatial Simulation in Bio-Molecular Systems

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
A course on spatial stochastic (Monte Carlo) simulations of molecular processes in living cells. The course might be of interest to those who took one or both semesters of Mathematical Systems Biology in the past years. However, this course is meant to be self contained, and pre-requisite knowledge is some familiarity with dynamical systems, basic multivariate calculus and probability. We will spend a few classes on basic models in systems biology and (a superficial) summary of chemical reaction systems. The core course focuses on the connection between the continuum picture (reaction-diffusion systems represented by PDE) and the behavior of individual particles. The ideas behind these simulation methods are quite general, and might be useful in other applications. Students proficient in programming will have the option of choosing projects that center on writing simulation programs.

Math 793G. SPTP: Research in Undergraduate Mathematics Education 4

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
The fourth in a series of courses on the research literature and practice in undergraduate mathematics education.

Math 793F. SPTP: Introduction to Infinite Combinatorics

Credit Hours: 
3
Semester Offered: 

Math 793E. SPTP: Combinatorial Optimization

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is generally offered every other year, alternating with the Matroids sequence. This is a full-year course, with research-level topics in the spring.

MATH 780. Seminar in Topology: Algebraic Topology.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is an advanced seminar in algebraic topology. Students should have a minimum of Math 581-681 and Math 541.

MATH 757. Theory of Partial Differential Equations 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is offered in alternate years, alternating with Math 751 Functional Analysis. It is intended to be followed in the spring with Math 758 and so would be suitable for either a minor sequence or as part of a major area in differential equations for Ph.D. students. Some background in differential equations and analysis, such as Math 564 and Math 551, respectively, is needed.

MATH 696. Graduate Seminar.

Credit Hours: 
1
Semester Offered: 
Comments From Graduate Director: 
Ph.D. students are required to enroll for one credit of graduate seminar each semester they are in residence. Expectations of this course are contained in the linked document. In the spring, we offer Math 694 Seminar: Professional Tools, which needs to be taken once by each graduate student. During the semester Math 694 is taken, Ph.D. students do not need to enroll in Math 696.

MATH 683. Set Theory and Applications.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course will follow in the Spring with Math 783. Math 683/783 can be used as a minor in Set Theory in the Ph.D. program. In some cases it may be appropriate for Ph.D. students to combine Math 783 and advanced algebra into a major area.

MATH 590. Teaching Practicum.

Credit Hours: 
variable hours
Semester Offered: 
Comments From Graduate Director: 
All GTA’s enroll for one credit hour of Math 590 each semester. This course will reflect the supervised duties assigned to the GTA each semester, which will change from semester to semester. Most GTA’s will take the Teaching Seminar in the Spring of their first year, followed by a second semester in the Fall of their second year. The Teaching Seminar is included in your Math 590 enrollment.

MATH 581. Topology 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is a basic graduate course in topology, useful in both pure and applied mathematics. Topology is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams, so this course is taken both by M.S. students and by Ph.D. students who want to prepare for the entrance exams. Math 581 follows in the spring with the second semester of topology, Math 681. Students taking the exam in topology will need the background of both semesters.

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