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Yang Kuang, PhD, is a professor of mathematics at Arizona State University. He currently serves on the calculus committee where he and other members discuss what and how to teach calculus to students majoring in math and physical sciences. Elleyne Kase is a professional writer.
Table of Contents
Part I: Set It Up, Solve It, Graph It 7
Chapter 1: Pre-Pre-Calculus 9
Chapter 2: Playing with Real Numbers 21
Chapter 3: The Building Blocks of Pre-Calc: Functions 33
Chapter 4: Digging Out and Using Roots to Graph Polynomial Functions 67
Chapter 5: Exponential and Logarithmic Functions 97
Part II: The Essentials of Trigonometry 117
Chapter 6: Circling in on Angles 119
Chapter 7: Simplifying the Graphing and Transformation of Trig Functions 149
Chapter 8: Identifying with Trig Identities: The Basics 181
Chapter 9: Advanced Identities: Your Keys to Pre-Calc Success 201
Chapter 10: Taking Charge of Oblique Triangles with the Laws of Sines and Cosines 223
Part III: Analytic Geometry and System Solving 243
Chapter 11: Plane Thinking: Complex Numbers and Polar Coordinates 245
Chapter 12: Slicing Cones or Measuring the Path of a Comet — with Confidence 261
Chapter 13: Streamlining Systems, Managing Variables 291
Chapter 14: Sequences, Series, and Expanding Binomials for the Real World 325
Chapter 15: Scouting the Road Ahead to Calculus 349
Part IV: The Part of Tens 363
Chapter 16: Ten Habits to Develop as You Prepare for Calculus 365
Chapter 17: Ten Habits to Quit Before Calculus 373