- Review of notation and properties of sets, Topology 2011 Sets and Subsets
- Practice Test, Topology, Autumn 2011 Instructions: Answer two of the following three questions. Each question is worth 10 marks. This test
- Tutorial Sheet 7, Topology 2011 1. Explain how to construct the torus as an identification space.
- Department of Mathematics Pure Mathematics C
- MS217 Spring 2008: Unassessed Assignment #1, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- MA 226 Differential Equations Summer II, 2003 Exam #1
- Tutorial Sheet 2, Topology 2011 1. Let X be any set and p X be some point in X. Define to be the collection of all subsets of X
- Electrical waves in a one-dimensional model of cardiac tissue Margaret Beck
- Topology F10PC1 & F11PE1 Autumn 2011 Contact info
- Sample Exam, F10PC Solutions, Topology, Autumn 2011 (i) Carefully define what it means for a topological space X to be Hausdorff.
- The Gap Lemma and Geometric Criteria for Instability of Viscous Shock Profiles
- Stability of Travelling Wave Solutions for Coupled Surface and Grain Boundary Motion
- Nonlinear stability of time-periodic viscous shocks Margaret Beck
- Practice Test, Topology, Autumn 2011 Instructions: Answer two of the following three questions. Each question is worth 10 marks. This test
- Tutorial Sheet 7, Topology 2011 1. Explain how to construct the torus as an identification space.
- Sample Exam, F11PE Solutions, Topology, Autumn 2011 (i) Carefully define what it means for a topological space X to be Hausdorff.
- MS217 Spring 2008: Unassessed Assignment #3, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- METASTABILITY AND RAPID CONVERGENCE TO QUASI-STATIONARY BAR STATES FOR THE 2D NAVIER-STOKES EQUATIONS
- MA 124 Test 2 This exam has 4 problems and a bonus. Note that not all problems are worth the
- MA 226 Differential Equations, Summer II, 2003 M,T,Th 6-8:30pm in MCS B31
- MA242 A1 -Linear Albgera -Fall 2009 Name: Margaret Beck
- Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation With Small Viscosity
- Tutorial Sheet 9, Topology 2011 1. Prove the following theorem, which was stated in class: If h : X Y and k : Y Z are continuous
- http://www.jstor.org A Stage-Based Population Model for Loggerhead Sea Turtles and Implications for Conservation
- A Geometric Construction of Traveling Waves in a Bioremediation Model
- MS217 Spring 2008: Review of Fourier Series and Convergence Results Please Note: This is just a review of Fourier series and does not necessarily include everything we discussed
- Solutions to Exercises on Topological Groups, Topology 2011 1. (4.3 #13) Let G1 and G2 be topological groups. Since they are both Hausdorff, G1 G2 is a Hausdorff
- Invariant Manifolds and the Stability of Traveling Waves in Scalar Viscous Conservation Laws
- MS217 Spring 2008: Unassessed Assignment #8, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- ELSEVIER Physica D 124 (1998) 58-103 Stability of bright solitary-wave solutions to perturbed nonlinear
- Tutorial Sheet 2, Topology 2011 (with Solutions) 1. Let X be any set and p X be some point in X. Define to be the collection of all subsets of X
- Physica D 237 (2008) 17501772 www.elsevier.com/locate/physd
- A Geometric Construction of Traveling Waves in a Bioremediation Model
- Department of Mathematics Pure Mathematics E
- MS217 Spring 2008: Unassessed Assignment #7, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- Using global invariant manifolds to understand metastability in Burgers equation with small viscosity
- Tutorial Sheet 5, Topology 2011 1. Show that the diagonal map : X X X, (x) = (x, x), is continuous, and prove that X is
- SNAKES, LADDERS, AND ISOLAS OF LOCALIZED PATTERNS MARGARET BECK, JURGEN KNOBLOCH, DAVID J. B. LLOYD, BJORN
- MA 124 Test 2 This exam has 4 problems and a bonus. Note that not all problems are the same
- Nonlinear stability of semidiscrete shocks for two-sided schemes Margaret Beck
- MA 226 Differential Equations Summer II, 2003 Exam #2
- Tutorial Sheet 6, Topology 2011 1. Prove that Q, with the subspace topology inherited from R, is totally disconnected, but not discrete.
- Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities
- Solutions to Tutorial Sheet 8, Topology 2011 1. Prove that any two continuous functions f, g : X A, where A is a convex subset of Rn and X is
- BOSTON UNIVERSITY GRADUATE SCHOOL OF ARTS AND SCIENCES
- Tutorial Sheet 4, Topology 2011 1. Find an open cover of R1 that does not contain a finite subcover. Do the same for (0, 1).
- MA225 B1 -Multivariate Calculus-Spring 2011 Name: Margaret Beck
- MA 124 Test 1 The bonus problem is more difficult than the other problems, please do as much as
- MS217 Spring 2008: Unassessed Assignment #4, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- MA775 -Ordinary Differential Equations -Fall 2010 Name: Margaret Beck
- MS217: Linear Partial Differential Equations Name: Margaret Beck
- Tutorial Sheet 6, Topology 2011 1. Prove that Q, with the subspace topology inherited from R, is totally disconnected, but not discrete.
- Tutorial Sheet 3, Topology 2011 1. Consider the following theorem
- A Geometric Theory of Chaotic Phase Synchronization Margaret Beck and Kresimir Josic
- Tutorial Sheet 1, Topology 2011 (with solutions) 1. Let be a graph. Prove that v() -e() 1. Furthermore, show that v() -e() = 1 if and only
- MS217 Spring 2008: Linear Partial Differential Equations Outline for Exam
- MS217 Spring 2008: Unassessed Assignment #6, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- Nonlinear Stability of Time-periodic Viscous Shocks Margaret Beck*, Bjorn Sandstede* and Kevin Zumbrun**
- Toward nonlinear stability of sources via a modified Burgers equation Margaret Beck
- Tutorial Sheet 3, Topology 2011 1. Consider the following theorem
- MA771 -Discrete Dynamical Systems -Spring 2010 Name: Margaret Beck
- MS217 Spring 2008: Unassessed Assignment #5, Solutions Please Note: These solutions are provided so you may check your own work. Some of the answers below
- Tutorial Sheet 4, Topology 2011 1. Find an open cover of R1 that does not contain a finite subcover. Do the same for (0, 1).
