This is a modern textbook on partial differential equations covering all the basic topics of a first course in PDEs. A balanced presentation introduces and practices all necessary problem-solving skills, yet is concise and friendly to the reader. The teaching-by-examples approach guides step-by-step learning of concepts and techniques.

The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4thyear) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a...