A First Course in Differential Equations, Modeling, and Simulation (2^nd Ed.)

A First Course in Differential Equations, Modeling, and Simulation shows how differential equations arise from applying basic physical principles and experimental observations to engineering systems. Avoiding overly theoretical explanations, the textbook also discusses classical and Laplace transform methods for obtaining the analytical solution of differential equations. In addition, the authors explain how to solve sets of differential equations where analytical solutions cannot easily be obtained.

Incorporating valuable suggestions from mathematicians and mathematics professors, the Second Edition:

• Expands the chapter on classical solutions of ordinary linear differential equations to include additional methods
• Increases coverage of response of first- and second-order systems to a full, stand-alone chapter to emphasize its importance
• Includes new examples of applications related to chemical reactions, environmental engineering, biomedical engineering, and biotechnology
• Contains new exercises that can be used as projects and answers to many of the end-of-chapter problems
• Features new end-of-chapter problems and updates throughout

Thus, A First Course in Differential Equations, Modeling, and Simulation, Second Edition provides students with a practical understanding of how to apply differential equations in modern engineering and science.

Introduction. Objects in a Gravitational Field. Classical Solutions of Ordinary Linear Differential Equations. Laplace Transforms. Response of First- and Second-Order Systems. Mechanical Systems: Translational. Mechanical Systems: Rotational. Mass Balances. Thermal Systems. Electrical Systems. Numerical Simulation. Answers to Selected Problems.

Scott W. Campbell has been on the faculty of the Department of Chemical and Biomedical Engineering at the University of South Florida, Tampa, USA, since 1986. He has authored or coauthored more than 60 technical peer-reviewed articles, mostly in the area of thermodynamics, and has received numerous teaching awards at the department, college, university, and state levels. Recently, Professor Campbell has been collaborating with mathematics faculty on application-based teaching of calculus and with College of Education faculty on the training of middle school science and math teachers.

Carlos A. Smith is a professor emeritus of chemical engineering at the University of South Florida, Tampa, USA (USF). He has been on the faculty at USF for 43 years, serving in different capacities. Professor Smith has lectured in Europe and many countries in Latin America. He is the coauthor of three editions of a textbook on process control and the author of another book on the same subject. The books have been translated into Spanish and Portuguese.