A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10E, strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible text speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations. Features:
• The four-color design adds depth of meaning to all of the graphics, particularly three-dimensional pieces and visuals that involve multiple curves in a graph. The author directed the creation of each piece of art to ensure that it is as mathematically correct as the text.
• Extended homework problems at the end of selected section exercises were submitted and classroom-tested by members of the teaching math community.
• The development of material in this text progresses intuitively, and explanations are clear and concise. Exercises reinforce and build on chapter content.
• This text guides students through material necessary to progress to the next level of study; its clear presentation and mathematical precision make it an excellent reference tool in future courses.
• While this text is time-tested and widely accepted, it has remained current with the addition of new exercises, such features as "Contributed Problems," and the enhanced four-color presentation.
• Exercises in this edition have been updated to better test and challenge students. Revisions are based on reviewer and user input, as well as the author''s understanding of the course goals.
• Chapter 6 now starts with a new section on the review of power series.
• This edition contains an optional section on Green''s functions in Chapter 4 and for those who have extra time in their course to consider this elegant application of variation of parameters in the solution of initial-value and boundary-value problems.
• New projects have been added to the text to show how the concepts of Differential Equations will apply to students'' intended careers.
About the Author:
Dennis G. Zill Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.
