Society for Industrial and Applied Mathematics (SIAM) Ordinary Differential Equations and Linear Algebra: A Systems Approach

Ordinary differential equations (ODEs) and linear algebra are taught in foundational post-calculus mathematics courses in the sciences. This text will help students master both subject areas. Linear algebra is systematically developed first, with an eye towards solving linear systems of ODEs, and over fifteen distinct applications of the theory are explored, including lead poisoning, SIR models and digital filters, not typically seen in textbooks at this level. A large emphasis is also placed on mathematical modeling, with the group projects at the end of each chapter allowing students to fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description. The seamless transition between linear algebra and ODEs contained within this one text makes this a valuable resource for students who have had one year of calculus and are taking a first class in ODEs. Book Description An extensive exploration of linear systems of ordinary differential equations for students taking a first class in the topic. About the Author Todd Kapitula teaches at Calvin College, Michigan, and previously held posts at the University of New Mexico, Virginia Tech, and the University of Utah. He is the author or coauthor of over 45 peer-reviewed research articles - one of which won the SIAM Outstanding Paper Prize - and has been awarded several National Science Foundation research grants. He coauthored, with Keith Promislow, the graduate-level text, Spectral and Dynamical Stability of Nonlinear Waves (2013). He is a member of SIAM and participates in the SIAM activity groups (SIAGs) on Applied Mathematics Education, Dynamical Systems, and Nonlinear Waves and Coherent Structures.