Dieter Armbruster is interested in mathematical modeling: Collective behavior of swarms, modeling disaster recovery, modeling and optimization of production flow in semiconductor factories, derivation and analysis of the evolution of ant colonies and other social insects and modeling of molecular signaling pathways have been recent topics. A common feature among all these models is the occurrence of emergent phenomena: the system consisting of many individual parts behaves in novel ways that are not present at the individual level. Understanding the dynamics of emergent phenomena is important to understand the evolution of biological and social behavior, controlling them allows us to optimize factory production, traffic flows and emergency evacuations.
The mathematical tools used include dynamical systems; methods of complexity science including dynamics on networks, game theory, decision theory and agent based simulations; and kinetic theory and partial differential equations.
Spring 2021 | |
---|---|
Course Number | Course Title |
MAT 493 | Honors Thesis |
MAT 499 | Individualized Instruction |
MAT 599 | Thesis |
APM 792 | Research |
MAT 795 | Continuing Registration |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2020 | |
---|---|
Course Number | Course Title |
MAT 475 | Differential Equations |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 592 | Research |
STP 593 | Applied Project |
ACT 593 | Applied Project |
MAT 599 | Thesis |
MAT 784 | Internship |
APM 792 | Research |
APM 795 | Continuing Registration |
STP 799 | Dissertation |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2020 | |
---|---|
Course Number | Course Title |
MAT 493 | Honors Thesis |
STP 784 | Internship |
APM 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
Spring 2020 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 499 | Individualized Instruction |
MAT 599 | Thesis |
APM 792 | Research |
MAT 795 | Continuing Registration |
APM 795 | Continuing Registration |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2019 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 492 | Honors Directed Study |
MAT 592 | Research |
STP 593 | Applied Project |
ACT 593 | Applied Project |
MAT 599 | Thesis |
MAT 784 | Internship |
APM 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
MAT 799 | Dissertation |
Summer 2019 | |
---|---|
Course Number | Course Title |
MAT 595 | Continuing Registration |
APM 792 | Research |
APM 795 | Continuing Registration |
APM 799 | Dissertation |
Spring 2019 | |
---|---|
Course Number | Course Title |
CSE 493 | Honors Thesis |
MAT 493 | Honors Thesis |
MAT 499 | Individualized Instruction |
APM 560 | Applied Dynamical Systems |
MAT 592 | Research |
MAT 599 | Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2018 | |
---|---|
Course Number | Course Title |
MAT 452 | Intro Chaos/Nonlinear Dynamics |
MAT 492 | Honors Directed Study |
MAT 592 | Research |
MAT 598 | Special Topics |
MAT 599 | Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2018 | |
---|---|
Course Number | Course Title |
APM 792 | Research |
Spring 2018 | |
---|---|
Course Number | Course Title |
MAT 451 | Mathematical Modeling |
MAT 493 | Honors Thesis |
MAT 599 | Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2017 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 492 | Honors Directed Study |
MAT 599 | Thesis |
MAT 792 | Research |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2017 | |
---|---|
Course Number | Course Title |
APM 792 | Research |
Spring 2017 | |
---|---|
Course Number | Course Title |
MAT 493 | Honors Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2016 | |
---|---|
Course Number | Course Title |
MAT 492 | Honors Directed Study |
MAT 599 | Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Summer 2016 | |
---|---|
Course Number | Course Title |
APM 792 | Research |
R. Heiland (Masters Mathematics 1992),
Shen Wang (Ph.D. Electrical Engineering 1996),
Gil-Jun Han (Ph.D. Mathematics 1996),
Maya Mincheva (Masters Mathematics 1997),
Ivonne Diaz-Rivera (Ph.D. Mathematics 1997),
Mark Nelson (Masters Mathematics 1998),
Paul Mayfield (Masters Mathematics 2000),
Dan Marthaler (Masters, Mathematics 2000 and Ph.D. Mathematics 2002),
Tae-Chang Jo (Mathematics Ph.D. 2002),
Rama Chidambaram (Ph.D. Mathematics 2003),
Michael Lamarca (Ph.D Mathematics 2008),
Yun Kang (Ph.D. Mathematics 2008),
Dirk van Zwieten (Masters, Mechanical Engineering, TU Eindhoven, 2010),
Erika Murguia-Blumenkranz (Ph.D. Industrial Engineering 2010),
Moeed Haghnevis(Ph.D. Industrial Engineering 2013),
Kevin Coltin (Masters, Mathematics 2013),
Jon Young (Ph.D. Applied Mathematics 2013),
Alexander Elkholy (Masters, Mathematics 2014),
Andrea Thatcher (Ph.D Applied Mathematics 2015),
Matthew Wienke (Ph.D Applied Mathematics 2015).