Review of AlgebraApplications and More AlgebraFunctions and GraphsLines, Parabolas, and SystemsExponential and Logarithmic FunctionsMathematics of FinanceMatrix AlgebraLinear ProgrammingIntroduction to Probability and StatisticsAdditional Topics in ProbabilityLimits and ContinuityDifferentiationAdditional Differentiation TopicsCurve SketchingIntegrationApplications of IntegrationContinuous Random VariablesMultivariable Calculus

Hallmark features of this title Applications: An abundance and variety of applications for the intended audience appear throughout the book so that students see frequently how the mathematics they are learning can be used. These applications cover such diverse areas as business, economics, biology, medicine, sociology, psychology, ecology, statistics, earth science, and archaeology. Many of these applications are drawn from literature and are documented by references, sometimes from the Web.Now Work Problem N: Throughout the text we have retained the popular Now Work Problem N feature. The idea is that after a worked example, students are directed toan end of section problem (labeled with a colored exercise number) that reinforces theideas of the worked example. This gives students an opportunity to practice what theyhave just learned.Cautions: Cautionary warnings are presented in very much the same way an instructor would warn students in class of commonly-made errors. These appear in the margin, along with other explanatory notes and emphases.Definitions, key concepts, and important rules and formulas: These are clearly stated and displayed as a way to make the navigation of the book that much easier for the student. (See, for example, the Definition of Derivative in Section 11.1)

New and updated features of this title We continue to make the elementary notions in the early chapters pave the way for their use in more advanced topics.Chapter 5, we explicitly discuss negative interest rates and ask, somewhat rhetorically, why banks do not use continuous compounding (given that for a long time now continuous compounding has been able to simplify calculations in practice as well as in theory).Most instructors and students will agree that the key to an effective textbook is in the quality and quantity of the examples and exercise sets. To that end, more than 850 examples are worked out in detail.