Designed for the three-semester engineering calculus sequence, Calculus: Early Transcendental Functions offers fully integrated coverage of exponential, logarithmic, and trigonometric functions throughout the first semester, within the hall
Designed for the three-semester engineering calculus sequence, Calculus: Early Transcendental Functions offers fully integrated coverage of exponential, logarithmic, and trigonometric functions throughout the first semester, within the hallmark balanced approach of the Larson team. A rich variety of applications encountered earlier in the course prepares students for concurrent physics, chemistry, and engineering courses. This edition features nearly 10,000 diverse and flexible exercises, carefully graded in sets progressing from skill-development problems to more rigorous application and proof problems.P.S. Problem Solving sectionsthought-provoking and challenging exercises at the end of each chapterrequire students to use a variety of problem-solving skills as they work with calculus concepts.Getting at the Concept exercises, boxed and titled for easy reference, check a student's understanding of the basic concepts of each section.Think About It conceptual exercises require students to use their critical-thinking skills and help them develop an intuitive understanding of the underlying theory of the calculus.Multi-part Modeling Data questions ask students to find and interpret mathematical models to fit real-life data, often through the use of a graphing utility.Section Projects, extended applications at the end of selected exercise sets, can be assigned to individual students or used in a collaborative or peer-assisted learning environment.Writing Exercises help students develop reasoning skills and discuss mathematical concepts.True or False Exercises in many exercise sets help students focus on concepts, common errors, and the correct statements of definitions and theorems.Review Exercises, now grouped and correlated by text section, provide students with a more effective study tool, enabling them to target the concepts they need to review.Integrated use of technology (optional and identified by an icon) encourages students to use a graphing utility or computer algebra system as a tool for exploration, discovery, and problem solving.Interactive Calculus Early Transcendental Functions 3.0 CD-ROM and Internet Calculus Early Transcendental Functions 2.0 web site, referred to in the text by an "IC" icon, offer enhanced opportunities for exploration and visualization using the program itself and/or a computer algebra system.CAS Examples, also identified in the text by an icon, offer opportunities for interactive exploration using Maple, Mathcad, Mathematica, or Derive.Motivating the Chapter, data-driven, chapter-opening applications, explore the concepts to be covered in the chapter in the context of a real-world setting. Following a short introduction, open-ended questions guide the students through an introduction to the main themes of the chapter.More than 1000 examples in the Third Edition enhance the usefulness of the text as a study tool for all types of learners. Each example is titled for easy reference and many offer detailed solutions, often with annotations, presented graphically, analytically, and/or numerically to provide further insight into mathematical concepts.