Wei-Chau Xie is a Professor in the Department of Civil and Environment Engineering and the Department of Applied Mathematics at the University of Waterloo. He is the author of Dynamic Stability of Structures and has published numerous journal articles on dynamic stability, structural dynamics and random vibration, nonlinear dynamics and stochastic mechanics, reliability and safety analysis of engineering systems, and seismic analysis and design of engineering structures. He has been teaching differential equations to engineering students for almost twenty years. He received the Teaching Excellence Award in 2001 in recognition of his exemplary record of outstanding teaching, concern for students, and commitment to the development and enrichment of engineering education at Waterloo. He was the recipient of the Distinguished Teacher Award in 2007, which is the highest formal recognition given by the University of Waterloo for a superior record of continued excellence in teaching.
Inhaltsangabe
1. Introduction 2. First-order and simple higher-order differential equations 3. Applications of first-order and simple higher-order equations 4. Linear differential equations 5. Applications of linear differential equations 6. The Laplace transform and its applications 7. Systems of linear differential equations 8. Applications of systems of linear differential equations 9. Series solutions of differential equations 10. Numerical solutions of differential equations 11. Partial differential equations 12. Solving ordinary differential equations using Maple Appendix A. Tables of mathematical formulas.
1. Introduction 2. First-order and simple higher-order differential equations 3. Applications of first-order and simple higher-order equations 4. Linear differential equations 5. Applications of linear differential equations 6. The Laplace transform and its applications 7. Systems of linear differential equations 8. Applications of systems of linear differential equations 9. Series solutions of differential equations 10. Numerical solutions of differential equations 11. Partial differential equations 12. Solving ordinary differential equations using Maple Appendix A. Tables of mathematical formulas.
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