Basic Technical Mathematics with Calculus (11th Edition) + Full Solution Manual
Book Preface
Basic Technical Mathematics with Calculus, Eleventh Edition, is intended primarily for students in technical and pre-engineering technical programs or other programs for which coverage of mathematics is required. Chapters 1 through 20 provide the necessary background for further study with an integrated treatment of algebra and trigonometry. Chapter 21 covers the basic topics of analytic geometry, and Chapter 22 gives an introduction to statistics. Chapters 23 through 31 cover fundamental concepts of calculus including limits, derivatives, integrals, series representation of functions, and differential equations. In the examples and exercises, numerous applications from the various fields of technology are included, primarily to indicate where and how mathematical techniques are used. However, it is not necessary that the student have a specific knowledge of the technical area from which any given problem is taken. Most students using this text will have a background that includes some algebra and geometry. However, the material is presented in adequate detail for those who may need more study in these areas.
The material presented here is sufficient for two to three semesters. One of the principal reasons for the arrangement of topics in this text is to present material in an order that allows a student to take courses concurrently in allied technical areas, such as physics and electricity. These allied courses normally require a student to know certain mathematics topics by certain definite times; yet the traditional order of topics in mathematics courses makes it difficult to attain this coverage without loss of continuity. However, the material in this book can be rearranged to fit any appropriate sequence of topics. The approach used in this text is not unduly rigorous mathematically, although all appropriate terms and concepts are introduced as needed and given an intuitive or algebraic foundation. The aim is to help the student develop an understanding of mathematical methods without simply providing a collection of formulas. The text material is developed recognizing that it is essential for the student to have a sound background in algebra and trigonometry in order to understand and succeed in any subsequent work in mathematics.
You may have noticed something new on the cover of this book. Another author! Yes, after 50 years as a “solo act,” Allyn Washington has a partner. New co-author Rich Evans is a veteran faculty member at Corning Community College (NY) and has brought a wealth of positive contributions to the book and accompanying MyMathLab course.
The new features of the eleventh edition include:
• Refreshed design – The book has been redesigned in full color to help students better use it and to help motivate students as they put in the hard work to learn the mathematics (because let’s face it—a more modern looking book has more appeal).
• Graphing calculator – We have replaced the older TI-84 screens with those from the new TI-84 Plus-C (the color version). And Benjamin Rushing [Northwestern State University] has added graphing calculator help for students, accessible online via short URLs in the margins. If you’d like to see the complete listing of entries for the online graphing calculator manual, use the URL goo.gl/eAUgW3.
• Applications – The text features a wealth of new applications in the examples and exercises (over 200 in all!). Here is a sampling of the contexts for these new applications:
Power of a wind turbine (Section 3.4)
Height of One World Trade Center (Section 4.4)
GPS satellite velocity (Section 8.4)
Google’s self-driving car laser distance (Section 9.6)
Phase angle for current/voltage lead and lag (Section 10.3
Bezier curve roof design (Section 15.3)
Cardioid microphone polar pattern (Section 21.7)
Social networks usage (Section 22.1)
Video game system market share (Section 22.1)
Bluetooth headphone maximum revenue (Section 24.7)
Saddledome roof slopes (Section 29.3)
Weight loss differential equation (Section 31.6)
• Exercises – There are over 1000 new and updated exercises in the new edition. In creating new exercises, the authors analyzed aggregated student usage and performance data from MyMathLab for the previous edition of this text. The results of this analysis helped improve the quality and quantity of exercises that matter the most to instructors and students. There are a total of 14,000 exercises and 1400 examples in the eleventh edition.
• Chapter Endmatter – The exercises formerly called “Quick Chapter Review” are now labeled “Concept Check Exercises” (to better communicate their function within the chapter endmatter).
• MyMathLab – Features of the MyMathLab course for the new edition include: Hundreds of new assignable algorithmic exercises help you address the homework needs of students. Additionally, all exercises are in the new HTML5 player, so they are accessible via mobile devices. 223 new instructional videos (to augment the existing 203 videos) provide help for students as they do homework. These videos were created by Sue Glascoe (Mesa Community College) and Benjamin Rushing (Northwestern State University). A new Graphing Calculator Manual, created specifically for this text, features instructions for the TI-84 and TI-89 family of calculators.
New PowerPoint® files feature animations that are designed to help you better teach key concepts.
Study skills modules help students with the life skills (e.g., time management) that can make the difference between passing and failing.
Content updates for the eleventh edition were informed by the extensive reviews of the text completed for this revision. These include:
• Unit analysis, including operations with units and unit conversions, has been moved from Appendix B to Section 1.4. Appendix B has been streamlined, but still contains the essential reference materials on units.
• In Section 1.3, more specific instructions have been provided for rounding combined operations with approximate numbers.
• Engineering notation has been added to Section 1.5.
• Finding the domain and range of a function graphically has been added to Section 3.4.
• The terms input, output, piecewise defined functions, and practical domain and range have been added to Chapter 3.
• In response to reviewer feedback, the beginning of Chapter 5 has been reorganized so that systems of equations has a strong introduction in Section 5.2. The prerequisite material needed for systems of equations (linear equations and graphs of linear functions) has been consolidated into Section 5.1. An example involving linear regression has also been added to Section 5.1.
• Solving systems using reduced row echelon form (rref) on a calculator has been added to Chapter 5.
• Several reviewers made the excellent suggestion to strengthen the focus on factoring in Chapter 6 by taking the contents of 6.1 (Special Products) and spreading it throughout the chapter. This change has been implemented. The terminology greatest
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