Pre-Calculus For Dummies
Höfundar:
Yang Kuang; Elleyne Kase (Útgáfa: 3)
Kaup valmöguleikar
Get ahead in pre-calculus Pre-calculus courses have become increasingly popular with 35 percent of students in the U.S. taking the course in middle or high school. Often, completion of such a course is a prerequisite for calculus and other upper level mathematics courses. Pre-Calculus For Dummies is an invaluable resource for students enrolled in pre-calculus courses. By presenting the essential topics in a clear and concise manner, the book helps students improve their understanding of pre-calculus and become prepared for upper level math courses.
Provides fundamental information in an approachable manner Includes fresh example problems Practical explanations mirror today’s teaching methods Offers relevant cultural references Whether used as a classroom aid or as a refresher in preparation for an introductory calculus course, this book is one you’ll want to have on hand to perform your very best.
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- Wiley Professional Development (P&T)
- 9781119508717
- 9781119508779
- ePub
- 3
- Yang Kuang; Elleyne Kase
- English
- 2018-10-25
- 100
- 10
- 2
Kaflar
- Cover
- Introduction
- About This Book
- Foolish Assumptions
- Icons Used in This Book
- Beyond the Book
- Where to Go from Here
- Part 1: Getting Started with Pre-Calculus
- Chapter 1: Pre-Pre-Calculus
- Pre-Calculus: An Overview
- All the Number Basics (No, Not How to Count Them!)
- Visual Statements: When Math Follows Form with Function
- Get Yourself a Graphing Calculator
- Chapter 2: Playing with Real Numbers
- Solving Inequalities
- Variations on Dividing and Multiplying: Working with Radicals and Exponents
- Chapter 3: The Building Blocks of Pre-Calculus Functions
- Qualities of Special Function Types and Their Graphs
- Dealing with Parent Functions and Their Graphs
- Graphing Functions That Have More Than One Rule: Piece-Wise Functions
- Setting the Stage for Rational Functions
- Putting the Results to Work: Graphing Rational Functions
- Chapter 4: Operating on Functions
- Transforming the Parent Graphs
- Sharpen Your Scalpel: Operating on Functions
- Turning Inside Out with Inverse Functions
- Chapter 5: Digging Out and Using Roots to Graph Polynomial Functions
- Understanding Degrees and Roots
- Factoring a Polynomial Expression
- Finding the Roots of a Factored Equation
- Cracking a Quadratic Equation When It Won’t Factor
- Solving Unfactorable Polynomials with a Degree Higher Than Two
- Put It in Reverse: Using Solutions to Find Factors
- Graphing Polynomials
- Chapter 6: Exponential and Logarithmic Functions
- Exploring Exponential Functions
- Logarithms: The Inverse of Exponential Functions
- Base Jumping to Simplify and Solve Equations
- Growing Exponentially: Word Problems in the Kitchen
- Part 2: The Essentials of Trigonometry
- Chapter 7: Circling in on Angles
- Introducing Radians: Circles Weren’t Always Measured in Degrees
- Trig Ratios: Taking Right Triangles a Step Further
- Understanding How Trig Ratios Work on the Coordinate Plane
- Building the Unit Circle by Dissecting the Right Way
- Digesting Special Triangle Ratios
- Triangles and the Unit Circle: Working Together for the Common Good
- Measuring Arcs: When the Circle Is Put in Motion
- Chapter 8: Simplifying the Graphing and Transformation of Trig Functions
- Drafting the Sine and Cosine Parent Graphs
- Graphing Tangent and Cotangent
- Putting Secant and Cosecant in Pictures
- Transforming Trig Graphs
- Chapter 9: Identifying with Trig Identities: The Basics
- Keeping the End in Mind: A Quick Primer on Identities
- Lining Up the Means to the End: Basic Trig Identities
- Tackling Difficult Trig Proofs: Some Techniques to Know
- Chapter 10: Advanced Identities: Your Keys to Success
- Finding Trig Functions of Sums and Differences
- Doubling an Angle and Finding Its Trig Value
- Taking Trig Functions of Common Angles Divided in Two
- A Glimpse of Calculus: Traveling from Products to Sums and Back
- Eliminating Exponents with Power-Reducing Formulas
- Chapter 11: Taking Charge of Oblique Triangles with the Laws of Sines and Cosines
- Solving a Triangle with the Law of Sines
- Conquering a Triangle with the Law of Cosines
- Filling in the Triangle by Calculating Area
- Part 3: Analytic Geometry and System Solving
- Chapter 12: Plane Thinking: Complex Numbers and Polar Coordinates
- Understanding Real versus Imaginary
- Combining Real and Imaginary: The Complex Number System
- Graphing Complex Numbers
- Plotting Around a Pole: Polar Coordinates
- Chapter 13: Creating Conics by Slicing Cones
- Cone to Cone: Identifying the Four Conic Sections
- Going Round and Round: Graphing Circles
- Riding the Ups and Downs with Parabolas
- The Fat and the Skinny on the Ellipse
- Pair Two Curves and What Do You Get? Hyperbolas
- Expressing Conics Outside the Realm of Cartesian Coordinates
- Chapter 14: Streamlining Systems, Managing Variables
- A Primer on Your System-Solving Options
- Algebraic Solutions of Two-Equation Systems
- Solving Systems with More than Two Equations
- Decomposing Partial Fractions
- Surveying Systems of Inequalities
- Introducing Matrices: The Basics
- Simplifying Matrices to Ease the Solving Process
- Making Matrices Work for You
- Chapter 15: Sequences, Series, and Expanding Binomials for the Real World
- Speaking Sequentially: Grasping the General Method
- Difference between Terms: Arithmetic Sequences
- Ratios and Consecutive Paired Terms: Geometric Sequences
- Creating a Series: Summing Terms of a Sequence
- Expanding with the Binomial Theorem
- Chapter 16: Onward to Calculus
- Scoping Out the Differences between Pre-Calculus and Calculus
- Understanding Your Limits
- Finding the Limit of a Function
- Operating on Limits: The Limit Laws
- Calculating the Average Rate of Change
- Exploring Continuity in Functions
- Part 4: The Part of Tens
- Chapter 17: Ten Polar Graphs
- Spiraling Outward
- Falling in Love with a Cardioid
- Cardioids and Lima Beans
- Leaning Lemniscates
- Lacing through Lemniscates
- Roses with Even Petals
- A Rose Is a Rose Is a Rose
- Limaçon or Escargot?
- Limaçon on the Side
- Bifolium or Rabbit Ears?
- Chapter 18: Ten Habits to Adjust before Calculus
- Figure Out What the Problem Is Asking
- Draw Pictures (the More the Better)
- Plan Your Attack — Identify Your Targets
- Write Down Any Formulas
- Show Each Step of Your Work
- Know When to Quit
- Check Your Answers
- Practice Plenty of Problems
- Keep Track of the Order of Operations
- Use Caution When Dealing with Fractions
- Index
- About the Author
- Advertisement Page
- Connect with Dummies
- End User License Agreement