precalculus graphical numerical algebraic

#Precalculus graphical numerical algebraic how to

92 Carefully graded exercises,from routine to challenging, follow the Quick Review exercises. Helps students to review the skills needed in the exercise set, reminding them again that mathematics is not modular.

89, 90 Each exercise set begins with Quick Review exercises and includes section references from earlier chapters where relevant skills were covered.

This is an easy way for students to check their comprehension of the material while reading each section, instead of waiting until the end of the section or chapter. 8, 119, 218 DESCRIPTION BENEFIT PAGE Each example ends with a suggestion to Now Try a related exercise. Tips offer practical advice Margin Notes include historical information, hints about examples, and provide additional insight to help students avoid common pitfalls. 74, 79 ■ Margin Notes and Tips Margin Notes and Tips appear throughout the text on various topics. Allows for easy reference and review when preparing for exams. 59 ■ Vocabulary and Properties Vocabulary is highlighted in yellow, and Properties are boxed in tan. Students can use this to check that they understand all of the key topics that they’ve been studying. Prepares students for what they will learn in the upcoming section. This outlines the big ideas within each section and explains the purpose of each of them. This roadmap of the chapter also describes how the different topics are connected under one big idea. 58 ■ Chapter Overview Chapters begin with an overview to give students a sense of what they are going to learn. Students are asked to model problem situations using the functions studied in the chapter. These problems enable students to explore realistic situations using graphical, numerical, and algebraic methods.

#Precalculus graphical numerical algebraic how to

Table of contents : Chapter 1 Prerequisites for Calculus 1.1 Lines 1.2 Functions and Graphs 1.3 Exponential Functions 1.4 Parametric Equations 1.5 Functions and Logarithms 1.6 Trigonometric Functions Key Terms Review Exercises Chapter 2 Limits and Contunity 2.1 Rates of Change and Limits 2.2 Limits Involcing Infinity 2.3 Continuity 2.4 Rates of Change and Tangent Lines Key Terms Review Exercises Chapter 3 Derivatives 3.1 Derivative of a Function 3.2 Differentiability 3.3 Rules of Differentiation 3.4 Velocity and Other Rates of Change 3.5 Derivatives of Trigonometric Functions Key Terms Review Exercises Chapter 4 More Derivatives 4.1 Chain Rule 4.2 Implicit Differentiation 4.3 Derivatives of Invers Trigonometric Functions 4.4 Derivatives of Exponential and Logarithmic Functions Key Terms Review Exercises Chapter 5 Applications of Derivatives 5.1 Extreme Values of Functions 5.2 Mean Value Theorem 5.3 Connecting f' and f'' with the Graph of f 5.4 Modeling and Optimization 5.5 Linearization and Differentials 5.6 Related Rates Key Terms Review Exercises Chapter 6 The Definite Integral 6.1 Estimating with Finite Sums 6.2 Definite Integrals 6.3 Definite Integrals and Antiderivatives 6.4 Fundamental Theorem of Calculus 6.5 Trapezoidal Rule Key Terms Review Exercises Chapter 7 Differential Equations and Mathematical Modeling 7.1 Slope Fields and Euler's Method 7.2 Antidifferentiation by Substitution 7.3 Antidifferentiation by Parts 7.4 Exponential Growth and Decay 7.5 Logistic Growth Key Terms Review Exercises Chapter 8 Applications of Definite Integrals 8.1 Integral As Net Change 8.2 Areas in the Plane 8.3 Volumes 8.4 Lengths of Curves 8.5 Applications from Science and Statistics Key Terms Review Exercises Chapter 9 Sequences, L'Hopital's Rule, and Improper Integrals 9.1 Sequences 9.2 L'Hopital's Rule 9.3 Relative Rates of Growth 9.4 Improper Integrals Key Terms Review Exercises Chapter 10 Infinite Series 10.1 Power Series 10.2 Taylor Series 10.3 Taylor's Theorem 10.4 Radius of Convergence 10.5 Testing Convergence at Endpoints Key Terms Review Exercises Chapter 11 Parametric, Vector, and Polar Functions 11.1 Parametric Functions 11.2 Vectors in the Plane 11.3 Polar Functions Key Terms Review Exercises Appendix A1 Formulas from Precalculus Mathematics A2 Mathematical Induction A3 Using the Limit Definition A4 Proof of the Chain Rule A5 Conic Sections A6 Hyperbolic Functions A7 A Brief Table of Integrals Glossary Selected Answers Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Applications Index Index Citation previewħ535_SE_fm_pi-xxxiii.qxd 1/18/11 3:08 PM Page i How to get the most from this textbook 1 PREPARING FOR CLASS: FEATURE Read the Book DESCRIPTION BENEFIT PAGE ■ Chapter Opener Provides a motivating photo, general description, and page reference of an application that can be solved with the topics in the chapter.