| Target audience note |
For freshman/sophomore, 2-semester (2-3 quarter) courses covering applied calculus for students in business, economics, social sciences, or life sciences.<br/><br/>Calculus with Applications, Eleventh Edition by Lial, Greenwell, and Ritchey, is our most applied text to date, making the math relevant and accessible for students of business, life science, and social sciences. Current applications, many using real data, are incorporated in numerous forms throughout the book, preparing students for success in their professional careers. With this edition, students will find new ways to help them learn the material, such as Warm-Up Exercises and added “help text” within examples.<br/><br/>Also available with MyMathLab<br/><br/>The MyMathLab® course for the text provides online homework and additional learning resources for students, such as video tutorials, algebra help, step-by-step examples, and graphing calculator help. The course features many more assignable exercises than the previous edition.<br/><br/>MyMathLab not included. Students, if MyMathLab is a recommended/mandatory component of the course, please ask your instructor for the correct ISBN and course ID. MyMathLab should only be purchased when required by an instructor. Instructors, contact your Pearson representative for more information.<br/>Content Updates<br/><br/> Chapter R<br/> Added new Your Turn exercises to ensure that there is a student assessment for each major concept.<br/> Added more detail to R.2 on factoring perfect squares. <br/> Chapter 1<br/> Rewrote the part of 1.1 involving graphing lines, emphasizing different methods for graphing.<br/> Rewrote 1.2 on supply, demand, break-even analysis, and equilibrium; giving formal definitions that match what students would see in business and economics courses. All of the business applications were revised, according to recommendations of reviewers, to be more in line with business texts. Also added a new Example 6 on finding a cost function.<br/> Added color for pedagogical reasons to make content easier to follow. <br/> Chapter 2<br/> Updated introduction to 2.1, rewriting it as an example to make it easier for students to reference the necessary skills to identify nonlinear functions, determine the domain and range, and estimate values from a graph.<br/> In 2.2, added another approach to graphing parabolas by splitting former Example 4 into two separate examples. The new Example 5 illustrates how to graph a parabola by first finding its characteristics (including orientation, intercepts, vertex, and axis of symmetry). The characteristics are highlighted in a box for easy reference.<br/> Added quadratic regression to 2.2. Example 9 includes a by-hand method and a method using technology.<br/> Rewrote Example 10 in 2.2, which illustrates translations and reflections of a graph, by breaking it into three parts. The first part is a basic transformation, and the ensuing parts build in complexity.<br/> Added the definition of a real root to 2.3 and added a technology box to illustrate how to use a graphing calculator to approximate the roots of higher degree polynomials.<br/> Added cubic regression to 2.3 (Example 5). <br/> Chapter 3<br/> Added Caution note to 3.1 and added a new solution method to Example 9.<br/> Added new Example 2 to 3.3 using recent data.<br/> Updated Example 4 in 3.3 to use clearer wording. <br/> Chapter 4<br/> Clarified the rules for differentiation in 4.1, 4.2, 4.3 and added a new Example 8.<br/> Expanded Example 9 in 4.1 to include a new graph.<br/> Updated Example 10 in 4.1 and Example 4 in 4.5. <br/> Chapter 5<br/> Added new examples to 5.2 (Example 3c) and 5.3 (Example 6b).<br/> Expanded Example 6a in 5.4 to show the inflection point. <br/> Chapter 6<br/> Updated Example 3 in 6.1 to show an application of the concept.<br/> Modified examples in 6.2 (Example 3), 6.4 (Example 2), and 6.6 (Example 1). <br/> Chapter 7<br/> Added annotations and comments to Example 10 in 7.1.<br/> Simplified Examples 1, 2, 3, and 6 in 7.2 and added annotations and comments.<br/> Added a “For Review” box to 7.3.<br/> Enlarged all small integral signs throughout the chapter for added clarity.<br/> Updated Example 7 in 7.4 and Example 5 in 7.5.<br/> Added more explanation of the consumer surplus to 7.5. <br/> Chapter 8<br/> Added annotations to several examples in 8.1 to denote steps in integration by parts.<br/> Revised the solutions to Examples 4 and 5 in 8.3, giving more detail and adding annotation to denote the steps in determining the accumulated amount of money flow. <br/> Chapter 9<br/> Rewrote and expanded Exercise 8 in 9.1, on the Cobb-Douglas Production Function, emphasizing the interpretation of the solutions.<br/> Added 3 new exercises to 9.1 on exponential and logarithmic functions of several variables.<br/> Revised the solution to Example 4 in 9.3, giving more detail.<br/> Rewrote the solution to Example 3 in 9.4, illustrating how to find the extrema of a constrained function of one or more variables using a spreadsheet. <br/> Chapter 10<br/> Revised the solution to Example 5 in 10.1, adding annotation to denote steps in separation of variables.<br/> In 10.1, added the definition of equilibrium point, explained how to determine the stability (stable, unstable, or semistable) of the equilibrium point, and added Example 8 on equilibrium points and stability. <br/> Chapter 11<br/> Changed the introductory example in 11.1, which continues into 11.2, to avoid rounding issues.<br/> Added a new part (d) to Example 3 in 11.3, as well as Method 2 using a graphing calculator and Method 3 using a spreadsheet.<br/> Changed 11.3 so that graphing calculators are the primary method of calculating normal probabilities, and the normal table is the secondary method. <br/> Chapter 12<br/> Revised Example 4 Method 1 (Graphing Calculator) in 12.1.<br/> Added further clarification on the TVM Solver to Example 8 in 12.2. <br/> Chapter 13<br/> In 13.1, revised coverage of translating graphs of sine and cosine functions. Also added a box to highlight the transformation of trigonometric functions.<br/> Added Example 8 to 13.2, which illustrates how to find the relative extrema for trigonometric functions.<br/> In 13.2, added new exercises (37—56), which use applications of the derivative applied to trigonometric functions. Applications include: critical numbers, intervals where the function is increasing and decreasing, relative extrema, higher order derivatives, intervals where the functions are concave upward and concave downward, inflection points, detailed graphs, absolute extrema, implicit differentiation, related rates, and differential approximation. |
