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ویرایش:
نویسندگان: Michelle Rose Gilman
سری: For Dummies
ISBN (شابک) : 9780470506561, 0470506563
ناشر: Wiley Publishing, Inc.
سال نشر: 2009
تعداد صفحات: [339]
زبان: English
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود)
حجم فایل: 17 Mb
در صورت تبدیل فایل کتاب Pre-calculus workbook for dummies به فرمت های PDF، EPUB، AZW3، MOBI و یا DJVU می توانید به پشتیبان اطلاع دهید تا فایل مورد نظر را تبدیل نمایند.
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Pre-Calculus Workbook for Dummies About the Authors Dedication Authors’ Acknowledgments Contents at a Glance Table of Contents Introduction About This Book Conventions Used in This Book Foolish Assumptions How This Book Is Organized Icons Used in This Book Where to Go from Here Part I: Foundation (And We Don’t Mean Makeup!) Chapter 1: Beginning at the Very Beginning: Pre-Pre-Calculus Reviewing Order of Operations: The Fun in Fundamentals Keeping Your Balance While Solving Equalities A Picture Is Worth a Thousand Words: Graphing Equalities and Inequalities Using Graphs to Find Information (Distance, Midpoint, Slope) Answers to Problems on Fundamentals Chapter 2: Get Real!: Wrestling with Real Numbers Solving Inequalities Expressing Inequality Solutions in Interval Notations Don’t Get Drastic with Radicals and Exponents — Just Simplify Them! Getting Out of a Sticky Situation, or Rationalizing Answers to Problems on Real Numbers Chapter 3: Understanding the Function of Functions Battling Out Even versus Odd Leaving the Nest: Transforming Parent Graphs Lucid Thinking? Graphing Rational Functions 53 Picking Up the Pieces: Graphing Piece-Wise Functions Operating on Functions: No Scalpel Necessary Evaluating Composition of Functions Working Together: Domain and Range Finding the Inverse of a Function (Who Knew It Was Lost?) Answers to Questions on Functions Chapter 4: Go Back to Your Roots to Get Your Degree Reason Through It: Factoring a Factorable Polynomial Get Your Roots Done while Solving a Quadratic Polynomial Climb the Mountains by Solving High Order Polynomials Strike That! Reverse It! Using Roots to Find an Equation Graphing Polynomials Answers to Questions on Finding Roots Chapter 5: Exponential and Logarithmic Functions Things Get Bigger (Or Smaller) All the Time — Solving Exponential Functions The Only Logs You Won’t Cut: Solving Logarithms Putting Them Together: Solving Equations Using Exponents and Logs Solving Exponential Word Problems… Argh! Answers to Problems on Exponential and Logarithmic Functions Part II: Trig Is the Key: Basic Review, the Unit Circle, and Graphs Chapter 6: Basic Trigonometry and the Unit Circle It’s All Right-Triangle Trig — Finding the Six Trigonometric Ratios Solving Word Problems with Right Triangles Unit Circle and the Coordinate Plane: Finding Points and Angles Isn’t That Special? Finding Right Triangle Ratios on the Unit Circle Solving Trig Equations Making and Measuring Arcs Answers to Problems Chapter 7: Graphing and Transforming Trig Functions Getting a Grip on Period Graphs Sine and Cosine: Parent Graphs and Transformations Tangent and Cotangent: Mom, Pops, and Children Secant and Cosecant: Generations Answers to Problems on Graphing and Transforming Trig Functions Part III: Advanced Trig: Identities, Theorems, and Applications Chapter 8: Basic Trig Identities Using Reciprocal Identities to Simplify Trig Expressions Simplifying with Pythagorean Identities Discovering Even-Odd Identities Solving with Co-Function Identities Moving with Periodicity Identities Tackling Trig Proofs Answers to Problems on Basic Trig Identities Chapter 9: Advanced Identities Simplifying with Sum and Difference Identities Using Double Angle Identities Reducing with Half-Angle Identities Changing Products to Sums Expressing Sums as Products Powering Down: Power-Reducing Formulas Answers to Problems on Advanced Identities Chapter 10: Solving Oblique Triangles Solving a Triangle with the Law of Sines: ASA and AAS Tackling Triangles in the Ambiguous Case: SSA Conquering a Triangle with the Law of Cosines: SAS and SSS Using Oblique Triangles to Solve Word Problems Figuring Flatness (Area) Answers to Problems on Solving Triangles Part IV: And the Rest… Chapter 11: Complex Numbers and Polar Coordinates Performing Operations with and Graphing Complex Numbers Round a Pole: Graphing Polar Coordinates Changing to and from Polar Graphing Polar Equations Answers to Problems on Complex Numbers and Polar Coordinates Chapter 12: Conquering Conic Sections A Quick Conic Review Going Round and Round with Circles Graphing Parabolas: The Ups and Downs Graphing Ellipses: The Fat and the Skinny Graphing Hyperbolas: No Caffeine Required Identifying Conic Sections Converting from Parametric Form to Polar Coordinates and Back Answers to Problems on Conic Sections Chapter 13: Finding Solutions for Systems of Equations A Quick-and-Dirty Technique Overview Solving Two Linear Equations with Two Variables Not-So-Straight: Solving Nonlinear Systems Solving More than Two (Equations and/or Variables) Graphing Systems of Inequalities We’re Partial to… Decomposing Partial Fractions! There Is No Spoon: Working with a Matrix Getting It in the Right Form: Simplifying Matrices Solving Systems of Equations Using Matrices Answers to Problems on Systems of Equations Chapter 14: Sequences, Series, and Binomials — Oh My! Major General Sequences and Series: Calculating Terms Working Out the Common Difference: Arithmetic Sequences and Series Be Fruitful and Multiply: Simplifying Geometric Sequences and Series Expanding Polynomials Using the Binomial Theorem Answers to Problems on Sequences, Series, and Binomials Chapter 15: The Next Step Is Calculus Finding Limits: Graphically, Analytically, and Algebraically Knowing Your Limit Laws Determining Continuity Answers to Problems on Calculus Part V: The Part of Tens Chapter 16: Ten Uses for Parent Graphs Squaring Up with Quadratics Cueing Up for Cubics Rooting for Square Roots and Cube Roots Graphing Absolutely Fabulous Absolute Value Functions Flipping over Rational Functions Exploring Exponential Graphs and Logarithmic Graphs Seeing the Sine and Cosine Covering Cosecant and Secant Tripping over Tangent and Cotangent Chapter 17: Ten Pitfalls to Pass Up in Pre-Calc Going Out of Order (Of Operations) FOILed Again! FOILing Binomials Incorrectly Gettin’ Down with Denominators Combining Terms That Can’t Be Combined Forgetting to Flip the Fraction Losing the Negative (Sign) Oversimplifying Roots Avoiding Exponent Errors Canceling Too Quickly Dealing with Distribution Index