The easy way to understand and retain all the concepts taught in pre-calculus classes
Pre-Calculus All-in-One For Dummies is a great resource if you want to do you best in Pre-Calculus. Packed with lessons, examples, and practice problems in the book, plus extra chapter quizzes online, it gives you absolutely everything you need to succeed in pre-calc. Unlike your textbook, this book presents the essential topics clearly and concisely, so you can really understand the stuff you learn in class, score high on your tests (including the AP Pre-Calculus exam!), and get ready to confidently move ahead to upper-level math courses. And if you need a refresher before launching into calculus, look no further–this book has your back.
* Review what you learned in algebra and geometry, then dig into pre-calculus
* Master logarithms, exponentials, conic sections, linear equations, and beyond
* Get easy-to-understand explanations that match the methods your teacher uses
* Learn clever shortcuts, test-taking tips, and other hacks to make your life easier
Pre-Calculus All-in-One For Dummies is the must-have resource for students who need to review for exams or just want a little (or a lot of!) extra help understanding what’s happening in class.
Tabella dei contenuti
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
Circa l’autore
Mary Jane Sterling was a professor of mathematics at Bradley University. She taught for more than 35 years and continues to teach via distance learning. Sterling is the author of many Dummies math titles, including Pre-Calculus For Dummies. She is a graduate of the University of New Hampshire with a master’s degree in mathematics education.
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