Transcription of Introduction to Ordinary and Partial Differential Equations
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Introduction to Ordinary and Partial Differential Equations
Introduction to Ordinary and Partial Differential Equations One Semester Course Shawn D. Ryan, Department of Mathematics Cleveland State Univeristy Copyright c 2010-2018 Dr. Shawn D. Ryan, Assistant Professor, Department of Mathe- matics, Cleveland State University P UBLISHED O NLINE. Special thanks to Mathias Legrand with modifications by for creating and modifying the template used for these lecture notes. Also, thank you to Vivek Srikrishnan (Penn State) for providing the original framework and outlines for certain topics in this textbook. In addition, thank you to Zach Tseng and other faculty members in the Penn State Department of Mathematics for encouraging me to write these lecture notes and continuing to use them. Licensed under the Creative Commons Attribution-NonCommercial Unported License (the License ). You may not use this file except in compliance with the License.
(v) Systems of Linear Equations (Ch. 6) (vi) Nonlinear Differential Equations and Stability (Ch. 7) (vii) Partial Differential Equations and Fourier Series (Ch. 8) Each class individually goes deeper into the subject, but we will cover the basic tools needed to handle problems arising in physics, materials sciences, and the life sciences.
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