Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals. The focus is mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. For a more traditional text designed for classroom use, see Fundamentals of Calculus (). ![]() This short text is designed more for self-study or review than for classroom use full solutions are given for nearly all the end-of-chapter problems. Instructors reviewing, adopting, or adapting parts or the whole of the text are requested to register their interest at. It has been used at Virginia Tech and other universities. The 236-page text was created specifically for use by undergraduate students in Aerospace Engineering and was based on Professor Marchman’s many years of experience teaching related subject matter as well as his numerous wind tunnel research projects related to aircraft aerodynamics and his personal experience as the owner and pilot of a general aviation airplane. ![]() ![]() Any student who takes a course using this text after completing courses in aerodynamics or fluid dynamics should find the chapters of this book covering those subjects an interesting review of the material. Separate courses in engineering statics and dynamics are helpful but not necessary. It is also assumed that students will have completed first year university level calculus sequence plus a course in multi-variable calculus. The text assumes that the students will have had a university level Physics sequence in which they will have been introduced to the most fundamental concepts of statics, dynamics, fluid mechanics, and basic conservation laws that are needed to understand the coverage that follows. The text is meant to provide the essential information from these types of courses that is needed for teaching basic subsonic aircraft performance, and it is assumed that the students will learn the full story of aerodynamics in other, later courses. This text is designed for a course in Aircraft Performance that is taught before the students have had any course in fluid mechanics, fluid dynamics, or aerodynamics. ![]() Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF in the electronic format, graphics are in full color and there are live links to java applets version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF the text is open source, and interested users can gain access to the original source files on GitHub the style of the text requires students to be active learners - there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding.Īerodynamics and Aircraft Performance, 3rd edition is a college undergraduate-level introduction to aircraft aerodynamics and performance.
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