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Table of Contents
Introduction 1
Unit 1: Getting Started with Pre-Calculus 5
Chapter 1: Preparing for Pre-Calculus 7
Chapter 2: Operating with Real Numbers 25
Chapter 3: Cementing the Building Blocks of Pre-Calculus Functions 43
Chapter 4: Operating on Functions 65
Unit 2: Getting the Grip on Graphing 93
Chapter 5: Graphing Polynomial Functions 95
Chapter 6: Exponential and Logarithmic Functions 131
Chapter 7: Piece-Wise and Greatest-Integer Functions 159
Unit 3: The Essentials of Trigonometry 171
Chapter 8: Circling In on Angles 173
Chapter 9: Homing In on the Friendliest Angles 201
Chapter 10: Picturing Basic Trig Functions and Reciprocal Functions 217
Chapter 11: Graphing and Transforming Trig Functions 237
Unit 4: Identities and Special Triangles 267
Chapter 12: Identifying with Trig Identities: The Basics 269
Chapter 13: Advancing with Advanced Identities 297
Chapter 14: Getting the Slant on Oblique Triangles 327
Unit 5: Analytic Geometry 361
Chapter 15: Coordinating with Complex Numbers 363
Chapter 16: Warming Up to Polar Coordinates 379
Chapter 17: Relating Conics to Sliced Cones 399
Unit 6: Systems, Sequences, and Series 443
Chapter 18: Streamlining Systems of Equations 445
Chapter 19: Making Matrices Work 473
Chapter 20: Sequences and Series 499
Chapter 21: Expanding Binomials for the Real World 519
Unit 7: Onward to Calculus 533
Chapter 22: Lining Up the Tools 535
Chapter 23: Proceeding with Successful Procedures 557
Index 573
