Search results for [Quadratic differentials.] at NC Cardinal

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On the estimation of quadratic functionals / by Fan, Jianqing.(CARDINAL)200577; University of North Carolina (System).Institute of Statistics.(CARDINAL)165205; University of North Carolina at Chapel Hill.Department of Statistics.(CARDINAL)149563;

Includes bibliographical references (pages 41-43).

Subjects: Quadratic differentials.; Convergence.; Estimation theory;

Available copies: 2 / Total copies: 3

On-line resources: Suggest title for digitization;

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The manga guide to calculus [manga] / by Kojima, Hiroyuki,1958-author.(CARDINAL)530326; Togami, Shin,illustrator.(CARDINAL)494170; Becom Co., Ltd.;

Prologue : what is a function? -- 1. Let's differentiate a function -- Approximating with functions -- Calculating the relative error -- The derivative in action -- Calculating the derivative -- Calculating the derivative of a constant, linear, or quadratic function -- 2. Let's learn differentiation techniques -- The sum rule of differentiation -- The product rule of differentiation -- Differentiating polynomials -- Finding maxima and minima -- Using the mean value theorem -- Using the quotient rule of differentiation -- Calculating derivatives of composite functions -- Calculating derivatives of inverse functions -- 3. Let's integrate a function -- Illustrating the fundamental theorem of calculus -- When the density is constant -- When the density changes stepwise -- When the density changes continuously -- Review of the imitating linear function -- Approximation vs. exact value -- Using the fundamental theorem of calculus -- Using integral formulas -- Applying the fundamental theorem -- Supply curve -- Demand curve -- Review of the fundamental theorem of calculus -- Formula of the substitution rule of integration -- The power rule of integration -- 4. Let's learn integration techniques -- Using trigonometric functions -- Using integrals with trigonometric functions -- Using exponential and logarithmic functions -- Integration by parts -- 5. Let's learn about Taylor Expansions -- Imitating with polynomials -- How to obtain a Taylor expansion -- Taylor expansion of various functions -- 6. Let's learn about partial differentiation -- What are multivariable functions? -- Basics of variable linear functions -- Partial differentiation -- Total differentials -- Conditions for extrema -- Applying partial differentiation to economics -- The chain rule -- Derivatives of implicit functions -- Epilogue: what is mathematics for? -- A. Solutions to exercises -- B. Main formulas, theorems, and functions covered in this book -- Linear equations (Linear functions) -- Differentiation -- Derivatives of popular functions -- Integrals -- Taylor expansion -- Partial derivatives."In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu."--Page 4 of cover.

Subjects: Graphic novels.; Young adult literature.; Comics (Graphic works); Young adult literature.; Calculus;

Available copies: 5 / Total copies: 7

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The ESSENTIALS math made nice-n-easy. by Research and Education Association.(CARDINAL)320440;

#1. Number systems, sets, integers, fractions, decimals -- #2. Percentages, exponents, radicals, logarithms, algebra basics -- #3. Factoring, ratios, linear equations, proportions, variations, functions -- #4. Complex numbers, quadratic equations, plane & solid geometry, trigonometry -- #5. Logarithmic computations, trigonometric analysis & measurements -- #6. Oblique triangles, vectors, statics, vector applications -- #7. Trigonometric identities & equations, straight lines, conic sections -- #8. Tangents, normals & slopes of curves, limits & differentiation, derivatives, integration -- #9. Integration formulas, combinations & permutations, probability

Subjects: Outlines and syllabi.; Mathematics;

Available copies: 3 / Total copies: 15

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Math word problems the easy way / by Ebner, David,1942-(CARDINAL)779276;

Provides instructions to successfully solve mathematical word problems.

Subjects: Problems and exercises.; Mathematics; Word problems (Mathematics);

Available copies: 1 / Total copies: 3

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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: 5 / 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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