Self-tests, chapter summaries, and titled examples. Three sections of the book, 1.1, 2.3, and 4.3 are devoted tomathematical modeling where students are asked to question the reasonableness ofmodels. More illustrations, many of which are graphs of solutions to examples. Theory is secondary to the goal of applying the mathematics to problems thatstudents who take the course will be solving. Historical Notes and biographical sketches of some of themathematicians who have made significant contributions to calculus anddifferential equations add a human dimension often lacking in such books.
Perspectives explore topics from a different point of view and in moredepth.
Table Of Contents 1. Introduction to Differential Equations. Second and Higher-Order Linear Differential Equations. Some Physical Applications of Linear Differential Equations. Power Series Solutions of Differential Equations.