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Pre-Calculus Workbook For Dummies, 2nd Edition

Pre-Calculus Workbook For Dummies, 2nd Edition

Yang Kuang, Michelle Rose Gilman

ISBN: 978-1-118-03418-7

Mar 2011

336 pages



Get the confidence and math skills you need to get started with calculus

Are you preparing for calculus? This hands-on workbook helps you master basic pre-calculus concepts and practice the types of problems you'll encounter in the course. You'll get hundreds of valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every problem. You'll also memorize the most frequently used equations, see how to avoid common mistakes, understand tricky trig proofs, and much more. Pre-Calculus Workbook For Dummies is the perfect tool for anyone who wants or needs more review before jumping into a calculus class. You'll get guidance and practical exercises designed to help you acquire the skills needed to excel in pre-calculus and conquer the next contender-calculus.

  • Serves as a course guide to help you master pre-calculus concepts
  • Covers the inside scoop on quadratic equations, graphing functions, polynomials, and more
  • Covers the types of problems you'll encounter in your coursework

With the help of Pre-Calculus Workbook For Dummies you'll learn how to solve a range of mathematical problems as well as sharpen your skills and improve your performance.

Part I: Setting the Foundation: The Nuts and Bolts of Pre-Calculus  5

Chapter 1: Beginning at the Very Beginning: Pre-Pre-Calculus  7

Chapter 2: Real Numbers Come Clean  23

Chapter 3: Controlling Functions by Knowing Their Function  37

Chapter 4: Searching Roots to Get the Degree  69

Chapter 5: Exponential and Logarithmic Functions  87

Part II: Trig Is the Key: Basic Review, the Unit Circle, and Graphs  103

Chapter 6: Basic Trigonometry and the Unit Circle  105

Chapter 7: Graphing and Transforming Trig Functions  127

Part III: Digging into Advanced Trig: Identities, Theorems, and Applications  143

Chapter 8: Basic Trig Identities  145

Chapter 9: Advanced Identities  161

Chapter 10: Solving Oblique Triangles  177

Part IV: Poles, Cones, Variables, Sequences, and Finding Your Limits  195

Chapter 11: Exploring Complex Numbers and Polar Coordinates  197

Chapter 12: Conquering Conic Sections  213

Chapter 13: Finding Solutions for Systems of Equations  245

Chapter 14: Spotting Patterns in Sequences, Series, and Binomials  277

Chapter 15: Previewing Calculus  289

Part V: The Part of Tens  301

Chapter 16: Ten Uses for Parent Graphs  303

Chapter 17: Ten Missteps to Avoid in Pre-Calculus  311

Index  315