Pre-Calculus All-In-One for Dummies Book + Chapter Quizzes Online
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...
| Autor principal: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated
2023.
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| Edición: | 1st ed |
| Colección: | --For dummies.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009769036006719 |
Tabla de Contenidos:
- Intro
- Title Page
- Copyright Page
- Table of Contents
- Introduction
- About This Book
- Foolish Assumptions
- Icons Used in This Book
- Beyond the Book
- Where to Go from Here
- Unit 1: Getting Started with Pre-Calculus
- Chapter 1: Preparing for Pre-Calculus
- Recapping Pre-Calculus: An Overview
- Checking in on Number Basics and Processes
- Understanding the multitude of number types: Terms to know
- Looking at the fundamental operations you can perform on numbers
- Knowing the properties of numbers: Truths to remember
- Looking at Visual Statements: When Math Follows Form with Function
- Using basic terms and concepts
- Graphing linear equalities and inequalities
- Gathering information from graphs
- Getting Yourself a Graphing Calculator
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 1 Quiz
- Answers to Chapter 1 Quiz
- Chapter 2: Operating with Real Numbers
- Describing Numbers on the Number Line
- Solving Inequalities
- Recapping inequality how-tos
- Solving equations and inequalities involving absolute value
- Expressing solutions for inequalities with interval notation
- Working with Radicals and Exponents
- Defining and relating radicals and exponents
- Rewriting radicals as exponents (or, creating rational exponents)
- Getting a radical out of a denominator: Rationalizing
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 2 Quiz
- Answers to Chapter 2 Quiz
- Chapter 3: Cementing the Building Blocks of Pre-Calculus Functions
- Identifying Special Function Types and Their Graphs
- Even and odd functions
- One-to-one functions
- Dealing with Parent Functions and Their Graphs
- Linear functions
- Quadratic functions
- Square-root functions
- Absolute-value functions
- Cubic functions
- Cube-root functions
- Setting the Stage for Rational Functions.
- Searching for vertical asymptotes and holes
- Searching for horizontal asymptotes
- Seeking out oblique asymptotes
- Locating the x- and y-intercepts
- Putting the Results to Work: Graphing Rational Functions
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 3 Quiz
- Answers to Chapter 3 Quiz
- Chapter 4: Operating on Functions
- Transforming the Parent Graphs
- Stretching and flattening
- Graphing translations
- Seeing reflections
- Combining various transformations (a transformation in itself!)
- Transforming functions point by point
- Sharpen Your Scalpel: Operating on Functions
- Adding and subtracting
- Multiplying and dividing
- Breaking down a composition of functions
- Adjusting the domain and range of combined functions (if applicable)
- Turning Inside Out with Inverse Functions
- Graphing an inverse
- Inverting a function to find its inverse
- Verifying an inverse
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 4 Quiz
- Answers to Chapter 4 Quiz
- Unit 2: Getting the Grip on Graphing
- Chapter 5: Graphing Polynomial Functions
- Understanding Degrees and Roots
- Factoring a Polynomial Expression
- Always the first step: Looking for a GCF
- Unwrapping the box containing a trinomial
- Recognizing and factoring special polynomials
- Grouping to factor four or more terms
- Finding the Roots of a Factored Equation
- Cracking a Quadratic Equation When It Won't Factor
- Using the quadratic formula
- Completing the square
- Solving Polynomial Equations with a Degree Higher Than Two
- Counting a polynomial's total roots
- Tallying the real roots: Descartes's rule of signs
- Accounting for imaginary roots: The fundamental theorem of algebra
- Guessing and checking the real roots
- Put It in Reverse: Using Solutions to Find Factors
- Graphing Polynomials.
- Graphing when all the roots are real numbers
- Graphing when roots are imaginary numbers: Combining all techniques
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 5 Quiz
- Answers to Chapter 5 Quiz
- Chapter 6: Exponential and Logarithmic Functions
- Exploring Exponential Functions
- Searching the ins and outs of exponential functions
- Graphing and transforming exponential functions
- Logarithms: The Inverse of Exponential Functions
- Getting a better handle on logarithms
- Managing the properties and identities of logs
- Changing a log's base
- Calculating a number when you know its log: Inverse logs
- Graphing logs
- Base Jumping to Simplify and Solve Equations
- Stepping through the process of solving exponential equations
- Solving logarithmic equations
- Growing Exponentially: Word Problems in the Kitchen
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 6 Quiz
- Answers to Chapter 6 Quiz
- Chapter 7: Piece-Wise and Greatest-Integer Functions
- Looking at Functions with More Than One Rule: Piece-Wise Functions
- Graphing piece-wise functions
- Using piece-wise functions in real-world applications
- Grappling with the Greatest-Integer Function
- Observing the greatest-integer function
- Making use of the greatest-integer function
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 7 Quiz
- Answers to Chapter 7 Quiz
- Unit 3: The Essentials of Trigonometry
- Chapter 8: Circling In on Angles
- Introducing Radians and Relating to Degrees
- Trig Ratios: Taking Right Triangles a Step Further
- Following the sine
- Looking for a cosine
- Going out on a tangent
- Discovering the flip side: Reciprocal trig functions
- Working in reverse: Inverse trig functions
- Defining ranges of inverse trig functions.
- Understanding How Trig Ratios Work on the Coordinate Plane
- Digesting Special Triangle Ratios
- The 45er: Isosceles right triangle
- The 30-60-90 right triangle
- Triangles and the Unit Circle: Working Together for the Common Good
- Placing the major angles correctly
- Retrieving trig-function values on the unit circle
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 8 Quiz
- Answers to Chapter 8 Quiz
- Chapter 9: Homing In on the Friendliest Angles
- Building on the Unit Circle
- Familiarizing yourself with the most common angles
- Finding the reference angle to solve for functions of angles
- Relating reference angles to their parents
- Drawing uncommon angles
- Solving Equations Using Inverse Functions
- Measuring Arcs: When the Circle Is Put in Motion
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 9 Quiz
- Answers to Chapter 9 Quiz
- Chapter 10: Picturing Basic Trig Functions and Reciprocal Functions
- Drafting the Sine and Cosine Parent Graphs
- Sketching sine
- Looking at cosine
- Graphing Tangent and Cotangent Parent Graphs
- Tackling tangent
- Clarifying cotangent
- Putting Secant and Cosecant in Parent Graphs Pictures
- Graphing secant
- Checking out cosecant
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 10 Quiz
- Answers to Chapter 10 Quiz
- Chapter 11: Graphing and Transforming Trig Functions
- Transforming Trig Graphs
- Messing with sine and cosine graphs
- Tweaking tangent and cotangent graphs
- Transforming the graphs of secant and cosecant
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 11 Quiz
- Answers to Chapter 11 Quiz
- Unit 4: Identities and Special Triangles
- Chapter 12: 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
- Reciprocal and ratio identities
- Pythagorean identities
- Even/odd identities
- Co-function identities
- Periodicity identities
- Tackling Difficult Trig Proofs: Some Techniques to Know
- Dealing with demanding denominators
- Going solo on each side
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 12 Quiz
- Answers to Chapter 12 Quiz
- Chapter 13: Advancing with Advanced Identities
- Finding Trig Functions of Sums and Differences
- Searching out the sine of a b
- Calculating the cosine of a b
- Taming the tangent of a b
- Doubling an Angle and Finding Its Trig Value
- Finding the sine of a doubled angle
- Calculating cosines for two
- Squaring your cares away
- Having twice the fun with tangents
- Taking Trig Functions of Common Angles Divided in Two
- A Glimpse of Calculus: Traveling from Products to Sums and Back
- Expressing products as sums (or differences)
- Transporting from sums (or differences) to products
- Eliminating Exponents with Power-Reducing Formulas
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 13 Quiz
- Answers to Chapter 13 Quiz
- Chapter 14: Getting the Slant on Oblique Triangles
- Solving a Triangle with the Law of Sines
- When you know two angle measures
- When you know two consecutive side lengths
- Conquering a Triangle with the Law of Cosines
- SSS: Finding angles using only sides
- SAS: Tagging the angle in the middle (and the two sides)
- Filling in the Triangle by Calculating Area
- Finding area with two sides and an included angle (for SAS scenarios)
- Using Heron's Formula (for SSS scenarios)
- Making Triangles Work for You
- Practice Questions Answers and Explanations
- Whaddya Know? Chapter 14 Quiz
- Answers to Chapter 14 Quiz
- Unit 5: Analytic Geometry.
- Chapter 15: Coordinating with Complex Numbers.
