This report has open problems presented by industry representatives to the workshop participants. To use these problems for projects, the instructor will have to spend quite a bit of time on developing them into a form appropriate for students.

This book is a collection of modeling projects on the interaction between tumor growth and immune system. Most of the projects require advanced mathematical tools to be investigated. This book can be used for an advanced graduate mathematical modeling class whose audience is interested in biology and medecine. The book tries to be self-contained from the mathematician prospective. The students for such a class would need to have broad knowledge in applied mathematics, numerical analysis, and partial differential equations. For further information, see the book web page.

This book is a collection of modeling projects that will be solved with advanced mathematical tools. It has a very good chapter on how to set up mathematical models from the description of the problem. It can be used in an introductory graduate class in mathematical modeling. The models considered cover a wide range of applications.

This book is a collection of modeling projects that will be solved with advanced mathematical tools. It has a very good chapter on how to set up a differential equation model from the description of the problem. It can be used in an introductory graduate class in mathematical modeling. The models considered are population, traffic flow, heat transfer, and flow models.

This book concentrates on mathematical models in combustion. These models require knowledge of partial differential equations and are challenging mathematically. The problems require a rather strong mathematical background; they can be a starting point for advanced projects or a thesis. See the book web page for further information.

This book would give good lectures ideas and projects if you were to teach a modeling class for a non science audience. It requires knowledge in differential equations, probability, and statistics and it is self-contained since the first half of the book is a summarry of methods needed to solve the problems presented in the second half. Two chapters are discussing the modeling philosophy. This book could be used for an introductory graduate class.

This book considers three different types of models: discrete, continuous, and spatially distributed. It can give good ideas for lectures if you want to spend all or the majority of the time on models in biology. The discrete and some of the continuous models may be of interest but they will not present a mathematical challenge to graduate students. See the book web page for further information.

This report has real-world problems from industry or applied science. These problems are interesting and challenging mathematically; they require a rather strong mathematical background. They can be a starting point for advanced projects.

The book covers numerous interesting modeling projects. It has a section on scales and dimensional analysis. The title of the book is only justified by the fact that the models derived are rather simple; the mathematics used to solve them is rather advanced.

This book presents a short review on techniques used to solve modeling problems and a series of problems which are rather challenging. This book could be used as a text book for an advanced graduate class. The students for such a class would need to have broad knowledge in applied mathematics, numerical analysis, partial differential equations, asymptotic analysis, perturbation methods, and techniques for nonlinear differential equations. For further information see the book web page.

These books contain a collection of problems coming from industry, covering a broad range of areas. These problems are interesting and challenging mathematically; they require a rather strong mathematical background. They can be a starting point for advanced projects or thesis. See Kapila's or Ockendon's reviews for further information on some of these books.

This report gathers a collection of problems on which teams of student instructors and graduate students worked on for 10 days while attending the IMA Mathematical Modeling workshop. The audience needs to have some knowledge in physics, ODEs, PDEs, and some computational experience. Most of problems presented here require a broad range of applied mathematics tools and can be quite challenging.

This book has a collection of interesting problems which are solved with a particle method. The audience needs to have some knowledge in physics, ODEs, PDEs, and some computational experience. Most of the problems presented here require a broad range of applied mathematics and numerical analysis tools and can be quite challenging if studied in depth. The instructor may not be able to get his lectures right out of the textbook. See the book web page for further information.

This book requires knowledge of physics, ODEs, PDEs, and the method of characteristics. It can give very good examples for lectures or projects.

This book requires knowledge of ODEs. It can give ideas for projects or thesis problems.

This book requires knowledge of stochastic PDEs and of the financial markets lingo. It can give some ideas for projects or thesis. See the book web page for further information.

This book considers mathematical modeling with a different perspective than most of the other books listed here: it introduces it through one or more specific techniques rather than through obtaining an insight on real-world problems with mathematical tools.

This book requires a good background in physics, ODEs, PDEs, and methods in applied mathematics. It covers interesting topics and can give good lecture ideas or projects. See the book web page for further information.

This book requires a strong mathematical background and has a modeling approach about teaching methods in applied mathematics. The techniques are taught in the context of a physical problem and the first chapter of the book is on dimensional analysis.

This book requires knowledge in physics, ODEs, PDEs, functional analysis, and methods in applied mathematics. It can give ideas for projects and thesis. See Gardner's review for further information on the book.

This book requires knowledge in ODEs and PDEs. All the models are deterministic and the book is self-contained when it comes to biology. It can give ideas for projects or dissertations. See Bell's review and the book web page for further information on the book.

This book is for an audience of graduate students who already have research experience and of researchers who both have knowledge in mathematics and biology. The reader needs to have a strong background in ODEs, PDEs, stochastic processes, and numerical techniques since the appendices succinctly present the results needed to solve the models. This book is very nice and really illustrates what can be achieved with mathematical modeling in biology. It can be used in an advanced graduate class on biological modeling, for projects, and to get dissertation problems. For further information on the book, see the book web page.