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Calculus demystified / by Krantz, Steven G.(Steven George),1951-(CARDINAL)519464;
Includes bibliographical references and index.1. Basics -- 1.0. Introductory remarks -- 1.1. Number systems -- 1.2. Coordinates in one dimension -- 1.3. Coordinates in two dimensions -- 1.4. The slope of a line in the plane -- 1.5. The equation of a line -- 1.6. Loci in the plane -- 1.7. Trigonometry -- 1.8. Sets and functions -- 1.8.1. Examples of functions of a real variable -- 1.8.2. Graphs of functions -- 1.8.3. Plotting the graph of a function -- 1.8.4. Composition of functions -- 1.8.5. The inverse of a function -- 1.9. A few words about logarithms and exponentials -- 2. Foundations of calculus -- 2.1. Limits -- 2.1.1. One-sided limits -- 2.2. Properties of limits -- 2.3. Continuity -- 2.4. The derivative -- 2.5. Rules for calculating derivatives -- 2.5.1. The derivative of an inverse -- 2.6. The derivative as a rate of change -- 3. Applications of the derivative -- 3.1. Graphing of functions -- 3.2. Maximum/minimum problems -- 3.3. Related rates -- 3.4. Falling bodies -- 4. The integral -- 4.0. Introduction -- 4.1. Antiderivatives and indefinite integrals -- 4.1.1. The concept of antiderivative -- 4.1.2. The indefinite integral -- 4.2. Area -- 4.3. Signed area -- 4.4. The area between two curves -- 4.5. Rules of integration -- 4.5.1. Linear properties -- 4.5.2. Additivity -- 5. Indeterminate forms -- 5.1. l'Hôpital's rule -- 5.1.1. Introduction -- 5.1.2. l'Hôpital's rule -- 5.2. Other indeterminate forms -- 5.2.1. Introduction -- 5.2.2. Writing a product as a quotient -- 5.2.3. The use of the logarithm -- 5.2.4. Putting terms over a common denominator -- 5.2.5. Other algebraic manipulations -- 5.3. Improper integrals : a first look -- 5.3.1. Introduction -- 5.3.2. Integrals with infinite integrands -- 5.3.3. An application to area -- 5.4. More on improper integrals -- 5.4.1. Introduction -- 5.4.2. The integral on an infinite interval -- 5.4.3. Some applications --6. Transcendental functions -- 6.0. Introductory remarks -- 6.1. Logarithm basics -- 6.1.1. A new approach to logarithms -- 6.1.2. The logarithm function and the derivative -- 6.2. Exponential basics -- 6.2.1. Facts about the exponential function -- 6.2.2. Calculus properties of the exponential -- 6.2.3. The number e -- 6.3. Exponentials with arbitrary bases -- 6.3.1. Arbitrary powers -- 6.3.2. Logarithms with arbitrary bases -- 6.4. Calculus with logs and exponentials to arbitrary bases -- 6.4.1. Differentiation and integration of loga x and ax-- 6.4.2. Graphing of logarithmic and exponential functions -- 6.4.3. Logarithmic differentiation -- 6.5. Exponential growth and decay -- 6.5.1. A differential equation -- 6.5.2. Bacterial growth -- 6.5.3. Radioactive decay -- 6.5.4. Compound interest -- 6.6. Inverse trigonometric functions -- 6.6.1. Introductory remarks -- 6.6.2. Inverse sine and cosine -- 6.6.3. The inverse tangent function -- 6.6.4. Integrals in which inverse trigonometric functions arise -- 6.6.5. Other inverse trigonometric functions -- 6.6.6. An example involving inverse trigonometric functions -- 7. Methods of integration -- 7.1. Integration by parts -- 7.2. Partial fractions -- 7.2.1. Introductory remarks -- 7.2.2. Products of linear factors -- 7.2.3. Quadratic factors -- 7.3. Substitution -- 7.4. Integrals of trigonometric expressions -- 8. Applications of the integral -- 8.1. Volumes by slicing --8.1.0. Introduction -- 8.1.1. The basic strategy -- 8.1.2. Examples -- 8.2. Volumes of solids and revolution -- 8.2.0. Introduction -- 8.2.1. The method of washers -- 8.2.2. The method of cylindrical shells -- 8.2.3. Different axes -- 8.3. Work -- 8.4. Averages -- 8.5. Arc length and surface area -- 8.5.1. Arc length -- 8.5.2. Surface area -- 8.6. Hydrostatic pressure -- 8.7. Numerical methods of integration -- 8.7.1. The trapezoid rule -- 8.7.2. Simpson's rule.Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus
Subjects: Calculus.;
Available copies: 6 / Total copies: 10
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Calculus demystified / by Krantz, Steven G.(Steven George),1951-(CARDINAL)519464;
Includes bibliographical references and index.Chapter 6: Transcendental Functions -- 6-0: Introductory remarks -- 6-1: Logarithm basics -- 6-1-1: New approach to logarithms -- 6-1-2: Logarithm function and the derivative -- 6-2: Exponential basics -- 6-2-1: Facts about the exponential function -- 6-2-2: Calculus properties of the exponential -- 6-2-3: Number e -- 6-3: Exponentials with arbitrary bases -- 6-3-1: Arbitrary powers -- 6-3-2: Logarithms with arbitrary bases -- 6-4: Calculus with logs and exponentials to arbitrary bases -- 6-4-1: Differentiation and integration of log(a)x and a(x) -- 6-4-2: Graphing of logarithmic and exponential functions -- 6-4-3: Logarithmic differentiation -- 6-5: Exponential growth and decay -- 6-5-1: Differential equation -- 6-5-2: Bacterial growth -- 6-5-3: Radioactive decay -- 6-5-4: Compound interest -- 6-6: Inverse trigonometric functions -- 6-6-1: Introductory remarks -- 6-6-2: Inverse sine and cosine -- 6-6-3: Inverse tangent function -- 6-6-4: Integrals in which inverse trigonometric functions arise -- 6-6-5: Other inverse trigonometric functions -- 6-6-6: Example involving inverse trigonometric functions -- Quiz -- Chapter 7: Methods Of Integration -- 7-1: Integration by parts -- 7-2: Partial fractions -- 7-2-1: Introductory remarks -- 7-2-2: Products of linear factors -- 7-2-3: Quadratic factors -- 7-3: Substitution -- 7-4: Integrals of trigonometric expressions -- Quiz -- Chapter 8: Applications Of The Integral -- 8-1: Volumes by slicing -- 8-1-0: Introduction -- 8-1-1: Basic strategy -- 8-1-2: Examples -- 8-2: Volumes of solids of revolution -- 8-2-0: Introduction -- 8-2-1: Method of washers -- 8-2-2: Method of cylindrical shells -- 8-2-3: Different axes -- 8-3: Work -- 8-4: Averages -- 8-5: Arc length and surface area -- 8-5-1: Arc length -- 8-5-2: Surface area -- 8-6: Hydrostatic pressure -- 8-7: Numerical methods of integration -- 8-7-1: Trapezoid rule -- 8-7-2: Simpson's rule -- Quiz -- Final exam -- Answers to quizzes and final exam -- Bibliography -- Index.Preface -- How to use this book -- Chapter 1: Basics -- 1-0: Introductory remarks -- 1-1: Number systems -- 1-2: Coordinates in one dimension -- 1-3: Coordinates in two dimensions -- 1-4: Slope of a line in the plane -- 1-5: Equation of a line -- 1-6: Loci in the plane -- 1-7: Trigonometry -- 1-8: Sets and functions -- 1-8-1: Examples of functions of a real variable -- 1-8-2: Graphs of functions -- 1-8-3: Plotting the graph of a function -- 1-8-4: Composition of functions -- 1-8-5: Inverse of a function -- 1-9: Few words about logarithms and exponentials -- Quiz -- Chapter 2: Foundations Of Calculus -- 2-1: Limits -- 2-1-1: One-sided limits -- 2-2: Properties of limits -- 2-3: Continuity -- 2-4: Derivative -- 2-5: Rules for calculating derivatives -- 2-5-1: Derivative of an inverse -- 2-6: Derivative as a rate of change -- Quiz -- Chapter 3: Applications Of The Derivative -- 3-1: Graphing of functions -- 3-2: Maximum/minimum problems -- 3-3: Related rates -- 3-4: Falling bodies -- Quiz -- Chapter 4: Integral -- 4-0: Introduction -- 4-1: Antiderivatives and indefinite integrals -- 4-1-1: Concept of antiderivative -- 4-1-2: Indefinite integral -- 4-2: Area -- 4-3: Signed area -- 4-4: Area between two curves -- 4-5: Rules of integration -- 4-5-1: Linear properties -- 4-5-2: Additivity -- Quiz -- Chapter 5: Indeterminate Forms -- 5-1: I'Hopital's Rule -- 5-1-1: Introduction -- 5-1-2: I'Hopital's Rule -- 5-2: Other indeterminate forms -- 5-2-1: Introduction -- 5-2-2: Writing a product as a quotient -- 5-2-3: Use of the logarithm -- 5-2-4: Putting terms over a common denominator -- 5-2-5: Other algebraic manipulations -- 5-3: Improper integrals: a first look -- 5-3-1: Introduction -- 5-3-2: Integrals with infinite integrands -- 5-3-3: Application to area -- 5-4: More on improper integrals -- 5-4-1: Introduction -- 5-4-2: Integral on an infinite interval -- 5-4-3: Some applications -- Quiz --"Calculate this: learning calculus just got a whole lot easier! Stumped trying to understand calculus? Calculus demystified, second edition, will help you master this essential mathematical subject. Written in a step-by-step format, this practical guide begins by covering the basics--number systems, coordinates, sets, and functions. You'll move on to limits, derivatives, integrals, and indeterminate forms. Transcendental functions, methods of integration, and applications of the integral are also covered. Clear examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key concepts.It's a no-brainer! You'll get: applications of the derivative and the integral rules of integration coverage of improper integrals An explanation of calculus with logarithmic and exponential functions dtails on calculation of work, averages, arc length, and surface area Simple enough for a beginner, but challenging enough for an advanced student, Calculus demystified, second edition, is one book you won't want to function without!"--"More than 1.8 million books sold in the DeMYSTiFieD series! The second edition of this bestseller is updated with all-new quizzes and test questions, clearer explanations of the exercises, and a completely refreshed design"--
Subjects: Calculus.;
Available copies: 4 / Total copies: 8
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Change and motion [videorecording] : calculus made clear / by Starbird, Michael.(CARDINAL)733893; Teaching Company.(CARDINAL)349444;
[pt. 1-2.] disc 1-2. Two ideas, vast implications ; Stop sign crime : the first idea of calculus ; Another car, another crime : the second idea of calculus ; The fundamental theorem of calculus ; Visualizing the derivative ; Abstracting the derivative: circles, squares and belts ; Derivatives the easy way ; Galileo, Newton, and baseball ; The best of all possible worlds- optimization ; Circles, Pyramids, cones, and spheres ; Archimedes and onions ; The integral: a process of summing[pt. 3-4] disc 3-4. Abstracting the integral: areas, volumes, and dams ; The fundamental theorem at work ; Buffon's needle : pi from breadsticks ; Zeno's arrow: the concept of limit ; Real numbers and predictability of continuous ; Zeno, calculators, and infinite series ; Mountain slopes and tangent planes ; Getting off the line : motion in space ; Physics, music, and the planets ; Business and economics: getting rich and going broke ; Palpitations, population, perch, and pachyderms ; Calculus everywhereLecturer: Michael StarbirdProfessor Michael Starbird of the University of Texas at Austin presents the fundamental features of calculus and shows how they can be understood and applied in many settings, with the goal that viewers comprehend these concepts as meaningful ideas, not as the manipulation of meaningless symbolsDVD format
Subjects: Calculus.;
Available copies: 1 / Total copies: 2
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Change and motion [sound recording] calculus made clear / by Starbird, Michael P.; Starbird, Michael P.; Teaching Company.(CARDINAL)349444;
part I. disc 1. Two ideas, vast implications -- Stop sign crime : the first idea of calculus -- Another car, another crime : the second idea of calculus -- The fundamental theorem of calculus -- Visualizing the derivative -- Abstracting the derivative: circles, squares and belts -- part I. disc. 2. Derivatives the easy way -- Galileo, Newton, and baseball -- The best of all possible worlds- optimization -- Circles, Pyramids, cones, and spheres -- Archimedes and onions -- The integral: a process of summing.part II. disc 3. Abstracting the integral: areas, volumes, and dams -- The fundamental theorem at work -- Buffon's needle : pi from breadsticks -- Zeno's arrow: the concept of limit -- Real numbers and predictability of continuous -- Zeno, calculators, and infinite series. part II. disc 4. Mountain slopes and tangent planes -- Getting off the line : motion in space -- Physics, music, and the planets -- Business and economics: getting rich and going broke -- Palpitations, population, perch, and pachyderms -- Calculus everywhere.Lecturer: Michael Starbird.Professor Michael Starbird of the University of Texas at Austin, covers the concepts of Calculus.DVD, region 1.
Subjects: Calculus.;
Available copies: 0 / Total copies: 1
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Change and motion [videorecording] calculus made clear / by Starbird, Michael P.; Starbird, Michael P.; Teaching Company.(CARDINAL)349444;
part I. disc 1. Two ideas, vast implications -- Stop sign crime : the first idea of calculus -- Another car, another crime : the second idea of calculus -- The fundamental theorem of calculus -- Visualizing the derivative -- Abstracting the derivative: circles, squares and belts -- part I. disc. 2. Derivatives the easy way -- Galileo, Newton, and baseball -- The best of all possible worlds- optimization -- Circles, Pyramids, cones, and spheres -- Archimedes and onions -- The integral: a process of summing.part II. disc 3. Abstracting the integral: areas, volumes, and dams -- The fundamental theorem at work -- Buffon's needle : pi from breadsticks -- Zeno's arrow: the concept of limit -- Real numbers and predictability of continuous -- Zeno, calculators, and infinite series. part II. disc 4. Mountain slopes and tangent planes -- Getting off the line : motion in space -- Physics, music, and the planets -- Business and economics: getting rich and going broke -- Palpitations, population, perch, and pachyderms -- Calculus everywhere.Lecturer: Michael Starbird.Professor Michael Starbird of the University of Texas at Austin, covers the concepts of Calculus.DVD, region 1.
Subjects: Calculus.;
Available copies: 1 / Total copies: 1
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Calculus for dummies / by Ryan, Mark,1955-author.(CARDINAL)675178;
An overview of calculus -- Warming up with calculus prerequisites -- Limits -- Differentiation -- Integration and infinite series -- The part of tens."If the thought of studying calculus makes you sweat, relax and fret no more! This hands-on, friendly guide makes calculus manageable. It leads you step-by-step through each concept, operation, and solution, explaining the 'how' and 'why' in plain English. Through detailed instruction and practical examples, you'll soon discover that calculus isn't nearly as bad as it's made out to be!"--Rear Cover.
Subjects: Calculus.;
Available copies: 4 / Total copies: 7
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Calculus for dummies / by Ryan, Mark,1955-author.(CARDINAL)675178;
An overview of calculus -- Warming up with calculus prerequisites -- Limits -- Differentiation -- Integration and infinite series -- The part of tens.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.
Subjects: Calculus.;
Available copies: 10 / Total copies: 16
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Calculus for dummies by Ryan, Mark,1955-(CARDINAL)675178;
What is calculus? -- The two big ideas of calculus: differentiation and integration -- Why calculus works -- Pre-algebra and algebra review -- Funky functions and their groovy graphs -- The trig tango -- Limits and continuity -- Evaluating limits -- Differentiation orientation -- Differentiation rules--yeah, man, it rules -- Differentiation and the shape of curves -- Your problems are solved: differentiation to the rescue! -- Intro to integration and approximating area -- Integration: it's backwards differentiation -- Integration techniques for experts -- Forget Dr. Phil: use the integral to solve problems -- Infinite series -- Ten things to remember -- Ten things to forget -- Ten things you can't get away with.Offers an introduction to the principles of calculus, covering such topics as limits, differentiation, and integration.
Subjects: Calculus.;
Available copies: 5 / Total copies: 13
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Calculus all-in-one / by Ryan, Mark,1955-author.(CARDINAL)675178;
An overview of calculus. What is calculus? ; The two big ideas of calculus: differentiation and integration, plus infinite series ; Why calculus works -- Warming up with calculus prerequisites. Pre-algebra, algebra, and geometry review ; Funky functions and their groovy graphs ; The trig tango -- Limits. Limits and continuity ; Evaluating limits -- Differentiation. Differentiation orientation ; Differentiation rules, yeah, man, it rules ; Differentiation and the shape of curves ; Your problems are solved: differentiation to the rescue! ; More differentiation problems: going off on a tangent -- Integration and Infinite series. Intro to integration and approximating area ; Integration: it's backwards differentiation ; Integration techniques for experts ; Who needs Freud? Using the integral to solve your problems ; Taming the infinite with improper integrals ; Infinite series: welcome to the outer limits.Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly.
Subjects: Instructional and educational works.; Calculus.;
Available copies: 4 / Total copies: 6
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CliffsQuickReview calculus / by Zandy, Bernard V.(CARDINAL)726833;
Includes bibliographical references (pages 109-112) and index.
Subjects: Outlines and syllabi.; Calculus;
Available copies: 2 / Total copies: 3
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Results 51 to 60 of 347 | « previous |