Synopsis
Designed for first year undergraduates, this text uses technology to promote conceptual understanding as well as exploration and modelling of real-world problems. The focus is on the function concept to prepare students for the study of calculus, while its emphasis on mathematical modelling helps students see how maths can be used outside the classroom or laboratory. The exercises included in the text are imbedded in the flow of the sections to assess student understanding and to guide them in discovering concepts. The history and etymology of mathematical ideas and terms are similarly integrated throughout the text - intended to help students experience mathematics as an ongoing creative endeavour. Additionally, there is an emphasis on real data, ranging from AIDS deaths to blood alcohol levels. This is designed to show students how mathematics is relevant to their lives.
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From the Publisher
This text fully integrates technology into the learning process. A graphing calculator is required and a Computer Algebra System (CAS) is encouraged.
History and etymology of mathematical ideas and terms are integrated throughout the text.
Emphasis on real data-ranging from AIDS deaths to blood alcohol levels.
Introduced in Chapter Two and integrated throughout the text, the function concept is presented using verbal, graphic, numeric, and analytic representations as well as process and object interpretations. Geometric visualization of many concepts is also included throughout the text.
Traditional topics, such as sequences and series or direct/inverse variation, that sometimes occupy a separate chapter or section, are instead woven into the text and exercises in several places where they naturally connect to the more primary topics at hand.
Chapter 7 motivates matrices as a tool for solving systems of equations and as a modeling tool in contexts independent of this.
Exercises are embedded in the flow of the sections to assess student understanding and to guide them in discovering concepts. Answers are found at the end of each section.
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Applications, Concepts and Technology in Algebra
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