Calculus For Dummies 2nd Edition by Mark Ryan 9781119297437 1119297435

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• ISBN 10:1119297435 

• ISBN 13:9781119297437

• Author:Mark Ryan 

Calculus For Dummies
Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Slay the calculus monster with this user-friendly guide

Calculus For Dummies, 2nd Edition makes calculus manageable–even if you’re one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the “how” and “why” in plain English instead of math-speak. Through relevant instruction and practical examples, you’ll soon learn that real-life calculus isn’t nearly the monster it’s made out to be.

Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is–simply a tool for studying the ways in which variables interact. It’s the logical extension of the algebra, geometry, and trigonometry you’ve already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win.

Includes foundations in algebra, trigonometry, and pre-calculus concepts
Explores sequences, series, and graphing common functions
Instructs you how to approximate area with integration
Features things to remember, things to forget, and things you can’t get away with
Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you’ll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

 

Calculus For Dummies 2nd Table of contents:

 About This Book
Foolish Assumptions
Icons Used in This Book
Beyond the Book
Where to Go from Here
Part 1: An Overview of Calculus
Chapter 1: What Is Calculus?
What Calculus Is Not
So What Is Calculus, Already?
Real-World Examples of Calculus
Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series
Defining Differentiation
Investigating Integration
Sorting Out Infinite Series
Chapter 3: Why Calculus Works
The Limit Concept: A Mathematical Microscope
What Happens When You Zoom In
Two Caveats; or, Precision, Preschmidgen
Part 2: Warming Up with Calculus Prerequisites
Chapter 4: Pre-Algebra and Algebra Review
Fine-Tuning Your Fractions
Absolute Value — Absolutely Easy
Empowering Your Powers
Rooting for Roots
Logarithms — This Is Not an Event at a Lumberjack Competition
Factoring Schmactoring — When Am I Ever Going to Need It?
Solving Quadratic Equations
Chapter 5: Funky Functions and Their Groovy Graphs
What Is a Function?
What Does a Function Look Like?
Common Functions and Their Graphs
Inverse Functions
Shifts, Reflections, Stretches, and Shrinks
Chapter 6: The Trig Tango
Studying Trig at Camp SohCahToa
Two Special Right Triangles
Circling the Enemy with the Unit Circle
Graphing Sine, Cosine, and Tangent
Inverse Trig Functions
Identifying with Trig Identities
Part 3: Limits
Chapter 7: Limits and Continuity
Take It to the Limit — NOT
Linking Limits and Continuity
The 33333 Limit Mnemonic
Chapter 8: Evaluating Limits
Easy Limits
The “Real Deal” Limit Problems
Evaluating Limits at Infinity
Part 4: Differentiation
Chapter 9: Differentiation Orientation
Differentiating: It’s Just Finding the Slope
The Derivative: It’s Just a Rate
The Derivative of a Curve
The Difference Quotient
Average Rate and Instantaneous Rate
To Be or Not to Be? Three Cases Where the Derivative Does Not Exist
Chapter 10: Differentiation Rules — Yeah, Man, It Rules
Basic Differentiation Rules
Differentiation Rules for Experts — Oh, Yeah, I’m a Calculus Wonk
Differentiating Implicitly
Getting into the Rhythm with Logarithmic Differentiation
Differentiating Inverse Functions
Scaling the Heights of Higher Order Derivatives
Chapter 11: Differentiation and the Shape of Curves
Taking a Calculus Road Trip
Finding Local Extrema — My Ma, She’s Like, Totally Extreme
Finding Absolute Extrema on a Closed Interval
Finding Absolute Extrema over a Function’s Entire Domain
Locating Concavity and Inflection Points
Looking at Graphs of Derivatives Till They Derive You Crazy
The Mean Value Theorem — GRRRRR
Chapter 12: Your Problems Are Solved: Differentiation to the Rescue!
Getting the Most (or Least) Out of Life: Optimization Problems
Yo-Yo a Go-Go: Position, Velocity, and Acceleration
Related Rates — They Rate, Relatively
Chapter 13: More Differentiation Problems: Going Off on a Tangent
Tangents and Normals: Joined at the Hip
Straight Shooting with Linear Approximations
Business and Economics Problems
Part 5: Integration and Infinite Series
Chapter 14: Intro to Integration and Approximating Area
Integration: Just Fancy Addition
Finding the Area Under a Curve
Approximating Area
Getting Fancy with Summation Notation
Finding Exact Area with the Definite Integral
Approximating Area with the Trapezoid Rule and Simpson’s Rule
Chapter 15: Integration: It’s Backwards Differentiation
Antidifferentiation
Vocabulary, Voshmabulary: What Difference Does It Make?
The Annoying Area Function
The Power and the Glory of the Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus: Take Two
Finding Antiderivatives: Three Basic Techniques
Finding Area with Substitution Problems
Chapter 16: Integration Techniques for Experts
Integration by Parts: Divide and Conquer
Tricky Trig Integrals
Your Worst Nightmare: Trigonometric Substitution
The As, Bs, and Cxs of Partial Fractions
Chapter 17: Forget Dr. Phil: Use the Integral to Solve Problems
The Mean Value Theorem for Integrals and Average Value
The Area between Two Curves — Double the Fun
Finding the Volumes of Weird Solids
The Washer Method
Analyzing Arc Length
Surfaces of Revolution — Pass the Bottle ’Round
Chapter 18: Taming the Infinite with Improper Integrals
L’Hôpital’s Rule: Calculus for the Sick
Improper Integrals: Just Look at the Way That Integral Is Holding Its Fork!
Chapter 19: Infinite Series
Sequences and Series: What They’re All About
Convergence or Divergence? That Is the Question
Alternating Series
Keeping All the Tests Straight
Part 6: The Part of Tens
Chapter 20: Ten Things to Remember
Chapter 21: Ten Things to Forget
Chapter 22: Ten Things You Can’t Get Away With
Give Two Answers on Exam Questions
Write Illegibly on Exams
Don’t Show Your Work on Exams
Don’t Do All of the Exam Problems
Blame Your Study Partner for Low Grade
Tell Your Teacher You Need an “A” in Calculus to Impress Your Significant Other
Claim Early-Morning Exams Are Unfair Because You’re Not a “Morning Person”
Protest the Whole Idea of Grades
Pull the Fire Alarm During an Exam
Use This Book as an Excuse
About the Author
Connect with Dummies
End User License Agreement
Read Less

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