Description In addition to the goal of students gaining computational fluency this text aims to develop mathematical thinking with a greater emphasis on analysis and interpretation of results. The book pays attention to problem solving strategies and the use of estimation to support the development of critical thinking in students.
Description The Mathematics Department of the University of Washington designed its precalculus to concentrate on two goals: a review of the essential mathematics needed to succeed in calculus, and an emphasis on problem solving, the idea being to gain both experience and confidence in working with a particular set of mathematical toolsThis text was written with those goals in mind. It does not look like the widely used precalculus texts on the market. The actual text is short and there are not a lot of routine drill exercises. Instead the book emphasizes multi-part story problems in a conscious attempt to engage students at a deeper level in order to prepare them for the calculus, science, and engineering courses they will soon be taking. There are 20 problem sets, one set at the end of each chapter. The web site also has twenty years of exams (midterms and finals) and their solutions.
Description The book has the material typically covered in the third semester of a mainstream calculus course for science, mathematics, and engineering students. There are 420 exercises grouped into easy, moderate, and challenging categories. There are answers and some hints for the odd-numbered problems and for some of the even-numbered problems. Some exercises require the student to write programs for numerical approximations with code samples given in Java, but any programming language could be used.
Description This book is a well-organized text with carefully constructed examples, a full quota of exercises with solutions, and an emphasis that is algebraic rather than geometric. The book is Sage-enabled with approximately 90 examples of Sage code spread throughout. The book sections can be loaded into Sage as worksheets so that the code can be evaluated immediately; however, it is not necessary to use Sage in order to make use of this textbook.
Description This book has the standard content of a course for science, math, and engineering students that follows calculus. A semester of calculus is the explicit prerequisite, but most students would have three semesters of calculus and for them some of the beginning sections of the book can be skipped. Each chapter ends with three or four applications of that chapter’s subject.
Description This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.
Description As the title suggests this book is designed for a “discovery method” course. The heart of the book is the hundreds of exercises that guide the student through the key ideas of enumerative combainatorics and a brief introduction to graph theory. The exercises are marked with special symbols to indicate their role in the course, for example, whether they are essential or motivational. The three supplmental sections deal with relations, mathematical induction, and exponential generating functions. This book is the result of an NSF project led by Ken Bogart and is currently maintained by the Mathematics Department of Dartmouth College.
Description The content of this book is traditional for a first course in abstract algebra at the junior or senior level. It may be used for either one or two semesters. The exercises include both computational and theoretical and there are a number of applications. Hints or short answers are given to most problems but not fully written solutions.
Description This book of about 500 pages has become a classic because of its engaging style, interesting examples, historical notes, pedagogical use of computer simulations, and more than 600 exercises. Thanks to the American Mathematical Society the book is freely available, although many readers will want to buy the hardcover edition from the AMS.
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