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|a 515
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|a Ryan, Mark.
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|a Calculus for Dummies.
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|a 2nd ed.
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|a New York :
|b John Wiley & Sons, Incorporated,
|c 2016.
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| 300 |
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|a 1 online resource (387 pages)
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|a text
|b txt
|2 rdacontent
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|a 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 -- 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 -- The derivative is a slope -- The derivative is a rate -- Investigating Integration -- Sorting Out Infinite Series -- Divergent series -- Convergent series -- Chapter 3 Why Calculus Works -- The Limit Concept: A Mathematical Microscope -- What Happens When You Zoom In -- Two Caveats -- or, Precision, Preschmidgen -- I may lose my license to practice mathematics -- What the heck does "infinity" really mean? -- Part 2 Warming Up with Calculus Prerequisites -- Chapter 4 Pre-Algebra and Algebra Review -- Fine-Tuning Your Fractions -- Some quick rules -- Multiplying fractions -- Dividing fractions -- Adding fractions -- Subtracting fractions -- Canceling in fractions -- Absolute Value - Absolutely Easy -- Empowering Your Powers -- Rooting for Roots -- Roots rule - make that, root rules -- Simplifying roots -- Logarithms - This Is Not an Event at a Lumberjack Competition -- Factoring Schmactoring - When Am I Ever Going to Need It? -- Pulling out the GCF -- Looking for a pattern -- Trying some trinomial factoring -- Solving Quadratic Equations -- Method 1: Factoring -- Method 2: The quadratic formula -- Method 3: Completing the square -- Chapter 5 Funky Functions and Their Groovy Graphs -- What Is a Function? -- The defining characteristic of a function -- Independent and dependent variables -- Function notation -- Composite functions -- What Does a Function Look Like?.
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|a Common Functions and Their Graphs -- Lines in the plane in plain English -- Parabolic and absolute value functions - even steven -- A couple oddball functions -- Exponential functions -- Logarithmic functions -- Inverse Functions -- Shifts, Reflections, Stretches, and Shrinks -- Horizontal transformations -- Vertical transformations -- Chapter 6 The Trig Tango -- Studying Trig at Camp SohCahToa -- Two Special Right Triangles -- The 45°-45°-90° triangle -- The 30°-60°-90° triangle -- Circling the Enemy with the Unit Circle -- Angles in the unit circle -- Measuring angles with radians -- Honey, I shrunk the hypotenuse -- Putting it all together -- 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 -- Using three functions to illustrate the same limit -- Sidling up to one-sided limits -- The formal definition of a limit - just what you've been waiting for -- Limits and vertical asymptotes -- Limits and horizontal asymptotes -- Calculating instantaneous speed with limits -- Linking Limits and Continuity -- Continuity and limits usually go hand in hand -- The hole exception tells the whole story -- Sorting out the mathematical mumbo jumbo of continuity -- The 33333 Limit Mnemonic -- Chapter 8 Evaluating Limits -- Easy Limits -- Limits to memorize -- Plugging and chugging -- The "Real Deal" Limit Problems -- Figuring a limit with your calculator -- Solving limit problems with algebra -- Take a break and make yourself a limit sandwich -- Evaluating Limits at Infinity -- Limits at infinity and horizontal asymptotes -- Solving limits at infinity with a calculator -- Solving limits at infinity with algebra -- Part 4 Differentiation -- Chapter 9 Differentiation Orientation -- Differentiating: It's Just Finding the Slope.
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|a The slope of a line -- The derivative of a line -- The Derivative: It's Just a Rate -- Calculus on the playground -- Speed - the most familiar rate -- The rate-slope connection -- 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 -- The constant rule -- The power rule -- The constant multiple rule -- The sum rule - hey, that's some rule you got there -- The difference rule - it makes no difference -- Differentiating trig functions -- Differentiating exponential and logarithmic functions -- Differentiation Rules for Experts - Oh, Yeah, I'm a Calculus Wonk -- The product rule -- The quotient rule -- The chain rule -- 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 -- Climb every mountain, ford every stream: Positive and negative slopes -- I can't think of a travel metaphor for this section: Concavity and inflection points -- This vale of tears: A local minimum -- A scenic overlook: The absolute maximum -- Car trouble: Teetering on the corner -- It's all downhill from here -- Your travel diary -- Finding Local Extrema - My Ma, She's Like, Totally Extreme -- Cranking out the critical numbers -- The first derivative test -- The second derivative test - no, no, anything but another test! -- 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.
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|a Chapter 12 Your Problems Are Solved: Differentiation to the Rescue! -- Getting the Most (or Least) Out of Life: Optimization Problems -- The maximum volume of a box -- The maximum area of a corral - yeehaw! -- Yo-Yo a Go-Go: Position, Velocity, and Acceleration -- Velocity, speed, and acceleration -- Maximum and minimum height -- Velocity and displacement -- Speed and distance traveled -- Burning some rubber with acceleration -- Tying it all together -- Related Rates - They Rate, Relatively -- Blowing up a balloon -- Filling up a trough -- Fasten your seat belt: You're approaching a calculus crossroads -- Chapter 13 More Differentiation Problems: Going Off on a Tangent -- Tangents and Normals: Joined at the Hip -- The tangent line problem -- The normal line problem -- Straight Shooting with Linear Approximations -- Business and Economics Problems -- Managing marginals in economics -- 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 -- Approximating area with left sums -- Approximating area with right sums -- Approximating area with midpoint sums -- Getting Fancy with Summation Notation -- Summing up the basics -- Writing Riemann sums with sigma notation -- Finding Exact Area with the Definite Integral -- Approximating Area with the Trapezoid Rule and Simpson's Rule -- The trapezoid rule -- Simpson's rule - that's Thomas (1710-1761), not Homer (1987-) -- 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 -- Why the theorem works: Area functions explanation.
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|a Why the theorem works: The integration-differentiation connection -- Why the theorem works: A connection to - egad! - statistics -- Finding Antiderivatives: Three Basic Techniques -- Reverse rules for antiderivatives -- Guessing and checking -- The substitution method -- Finding Area with Substitution Problems -- Chapter 16 Integration Techniques for Experts -- Integration by Parts: Divide and Conquer -- Picking your u -- Integration by parts: Second time, same as the first -- Tricky Trig Integrals -- Integrals containing sines and cosines -- Integrals containing secants and tangents or cosecants and cotangents -- Your Worst Nightmare: Trigonometric Substitution -- Case 1: Tangents -- Case 2: Sines -- Case 3: Secants -- The As, Bs, and Cxs of Partial Fractions -- Case 1: The denominator contains only linear factors -- Case 2: The denominator contains irreducible quadratic factors -- Bonus: Equating coefficients of like terms -- 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 meat-slicer method -- The disk method -- The Washer Method -- The matryoshka-doll 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 -- Getting unacceptable forms into shape -- Improper Integrals: Just Look at the Way That Integral Is Holding Its Fork! -- Improper integrals with vertical asymptotes -- Improper integrals with one or two infinite limits of integration -- Blowing Gabriel's horn -- Chapter 19 Infinite Series -- Sequences and Series: What They're All About -- Stringing sequences -- Summing series -- Convergence or Divergence? That Is the Question.
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|a A no-brainer divergence test: The nth term test.
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| 526 |
0 |
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|a AS203 - Bachelor of Science (Hons.) Physics
|z Syllabus Programme
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| 588 |
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|a Description based on publisher supplied metadata and other sources.
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| 590 |
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|a Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2021. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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| 650 |
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|a Calculus.
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| 655 |
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4 |
|a Electronic books.
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| 776 |
0 |
8 |
|i Print version:
|a Ryan, Mark
|t Calculus for Dummies
|d New York : John Wiley & Sons, Incorporated,c2016
|z 9781119293491
|
| 797 |
2 |
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|a ProQuest (Firm)
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| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=https://ebookcentral.proquest.com/lib/uitm-ebooks/detail.action?docID=4911647
|z View fulltext via EzAccess
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| 966 |
0 |
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|a 2021
|b ProQuest Ebook Central
|c UiTM Library
|d Mohd Fadhli Samsudin
|e Faculty of Applied Sciences
|f ProQuest
|