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The book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs). With the use of step-by-step explanations, a review of necessary foundations, and sets of solved problems, it provides concrete clarification to concepts students find abstract (e.g., eigenvalues and eigenvectors
List of contents
Introduction. First-Order Linear Ordinary Differential Equations. First-Order Nonlinear Ordinary Differential Equations. Existence, Uniqueness, and Qualitative Analysis. Second-Order Linear Ordinary Differential Equations. Higher-Order Linear Ordinary Differential Equations. Laplace Transforms. Systems of First-Order Ordinary Differential Equations. Partial Differential Equations.
About the author
David V. Kalbaugh received his B.S. from the Johns Hopkins University in 1967; M.S. from Stanford University in 1968; and doctorate from University of Maryland in 1974. He was exposed to many practical problems across engineering and physics at Johns Hopkins University Applied Physics Laboratory, where he eventually retired as Assistant Director in 2005. Dr. Kalbaugh developed this text while teaching both engineering courses and differential equations as an adjunct Assistant Professor in the Mathematics and Computer Science Department at the University of Maryland Eastern Shore from 2008-2014. UMES achieved ABET accreditation of its engineering program in August 2013.
Summary
The book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs). With the use of step-by-step explanations, a review of necessary foundations, and sets of solved problems, it provides concrete clarification to concepts students find abstract (e.g., eigenvalues and eigenvectors
