For introductory courses in Differential Equations.
This best-selling text by these well-known authors blends the traditional algebra problem solving skills with the conceptual development and geometric visualization of a modern differential equations course that is essential to science and engineering students. It reflects the new qualitative approach that is altering the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB.
Its focus balances the traditional manual methods with the new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications. Seldom-used topics have been trimmed and new topics added: it starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout the text.
Approximately 2000 problems–These problems span the range from computational problems to applied and conceptual problems. There are over 300 new qualitative problems in this edition. Provides students with problem sets that are carefully graded so that the opening problems can be easily solved by most students, giving them encouragement to continue through the set.
Emphasis on the intersection of technology and ODEs–Recognizes the need to instruct students in the new methods of computing differential equations. Shows students the software systems tailored specifically to differential equations as well as the widely used Maple, Mathematica, and MATLAB.