The writing of this text is cogent, clear, and compelling-Insight, A Look Back, A Look Forward, Quick Quiz, Preview, Basics, Key/Basic Steps, Summary of Key Topics, Genesis and Development Builds on what students saw in High School. Refines mathematical skills and expands conceptual horizons. Differential equations are introduced early, given a natural treatment and used often-to explain exponentials, bacterial growth and in various modeling applications. Technology is an essential part of modern life. It is used throughout the book in a natural and comfortable manner. Students see how mathematical scientists think about numerical questions. Modeling is key to Blank and Krantz. Calculus contains numerous examples from economics, and science and social sciences. Applications are not "made up" or artificial. They are shown as an essential part of the way we think about Mathematics and the world around us. Full Treatment of exciting topics like Kepler's Laws (12.5), applications to economics (3.9, 4.9, 4.7, 8.7), probability theory (8.3, 8.7), Atomic Physics (7.1), Mechanics (6.6, 6.7) and the Physics of baseball (12.2). Text addresses Calculus as instructors and students want to see it. Exercise sets have real depth and are organized into three groups; skills exercises(Problems for Practice), thought exercises(Further Theory and Practice), and technology exercises(Calculator/Computer Sciences) Enrichment Material-Example: Section 4.8 is about applications to economics. The Genesis of Development sections explore byways, additional ideas, history and some proofs. Sequences are introduced early and used throughout to motivate key ideas like limits, exponentials and series.
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