Introduction to Differential Equations and Their Applications

This text is intended for a one-term course in introductory differential equations and is designed for students in pure and applied mathematics who have had a course in calculus. The text presents a balance of mathematical rigour and intuitive thinking. The illustrations aim to enhance the conceptual material and allow students to visualize the mathematics. The treatment of chaotic dynamical systems introduces students to the basic ideas surrounding chaotic motion. Problem sets, which contain computer applications, are carefully graduated from the routine to the more challenging and extension exercises asking students to expand on the material are included to pique student interest. Brief historical notes place topics in their proper historical and cultural context.