{"product_id":"calculus-isbn-9781119777823","title":"Calculus","description":"\u003cp\u003e\u003ci\u003eCalculus: Single Variable, 8th Edition\u003c\/i\u003e promotes active learning by providing students across multiple majors with a variety of problems with applications from the physical sciences, medicine, economics, engineering, and more. Designed to promote critical thinking to solve mathematical problems while highlighting the practical value of mathematics, the textbook brings calculus to real life with engaging and relevant examples, numerous opportunities to master key mathematical concepts and skills, and a student-friendly approach that reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures.\u003c\/p\u003e \u003cp\u003eDeveloped by the Harvard University Calculus Consortium, Calculus focuses on the Rule of Four—viewing problems graphically, numerically, symbolically, and verbally—with particular emphasis placed on introducing a variety of perspectives for students with different learning styles. The eighth edition provides more problem sets, up-to-date examples, and a range of new multi-part graphing questions and visualizations powered by GeoGebra that reinforce the Rule of Four and strengthen students’ comprehension.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Foundation For Calculus: Functions and Limits 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Functions and Change 2\u003c\/p\u003e \u003cp\u003e1.2 Exponential Functions 14\u003c\/p\u003e \u003cp\u003e1.3 New Functions From Old 26\u003c\/p\u003e \u003cp\u003e1.4 Logarithmic Functions 34\u003c\/p\u003e \u003cp\u003e1.5 Trigonometric Functions 42\u003c\/p\u003e \u003cp\u003e1.6 Powers, Polynomials, and Rational Functions 53\u003c\/p\u003e \u003cp\u003e1.7 Introduction to Limits and Continuity 62\u003c\/p\u003e \u003cp\u003e1.8 Extending The Idea of a Limit 71\u003c\/p\u003e \u003cp\u003e1.9 Further Limit Calculations Using Algebra 80\u003c\/p\u003e \u003cp\u003e1.10 Preview of The Formal Definition of a Limit \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Key Concept: The Derivative 87\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 How Do We Measure Speed? 88\u003c\/p\u003e \u003cp\u003e2.2 The Derivative At a Point 96\u003c\/p\u003e \u003cp\u003e2.3 The Derivative Function 105\u003c\/p\u003e \u003cp\u003e2.4 Interpretations of The Derivative 113\u003c\/p\u003e \u003cp\u003e2.5 The Second Derivative 121\u003c\/p\u003e \u003cp\u003e2.6 Differentiability 130\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Short-Cuts to Differentiation 135\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Powers and Polynomials 136\u003c\/p\u003e \u003cp\u003e3.2 The Exponential Function 146\u003c\/p\u003e \u003cp\u003e3.3 The Product and Quotient Rules 151\u003c\/p\u003e \u003cp\u003e3.4 The Chain Rule 158\u003c\/p\u003e \u003cp\u003e3.5 The Trigonometric Functions 165\u003c\/p\u003e \u003cp\u003e3.6 The Chain Rule and Inverse Functions 171\u003c\/p\u003e \u003cp\u003e3.7 Implicit Functions 178\u003c\/p\u003e \u003cp\u003e3.8 Hyperbolic Functions 181\u003c\/p\u003e \u003cp\u003e3.9 Linear Approximation and The Derivative 185\u003c\/p\u003e \u003cp\u003e3.10 Theorems About Differentiable Functions 193\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Using The Derivative 199\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Using First and Second Derivatives 200\u003c\/p\u003e \u003cp\u003e4.2 Optimization 211\u003c\/p\u003e \u003cp\u003e4.3 Optimization and Modeling 220\u003c\/p\u003e \u003cp\u003e4.4 Families of Functions and Modeling 234\u003c\/p\u003e \u003cp\u003e4.5 Applications to Marginality 244\u003c\/p\u003e \u003cp\u003e4.6 Rates and Related Rates 253\u003c\/p\u003e \u003cp\u003e4.7 L’hopital’s Rule, Growth, and Dominance 264\u003c\/p\u003e \u003cp\u003e4.8 Parametric Equations 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Key Concept: The Definite Integral 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 How Do We Measure Distance Traveled? 286\u003c\/p\u003e \u003cp\u003e5.2 The Definite Integral 298\u003c\/p\u003e \u003cp\u003e5.3 The Fundamental Theorem and Interpretations 308\u003c\/p\u003e \u003cp\u003e5.4 Theorems About Definite Integrals 319\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Constructing Antiderivatives 333\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Antiderivatives Graphically and Numerically 334\u003c\/p\u003e \u003cp\u003e6.2 Constructing Antiderivatives Analytically 341\u003c\/p\u003e \u003cp\u003e6.3 Differential Equations and Motion 348\u003c\/p\u003e \u003cp\u003e6.4 Second Fundamental Theorem of Calculus 355\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Integration 361\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Integration By Substitution 362\u003c\/p\u003e \u003cp\u003e7.2 Integration By Parts 373\u003c\/p\u003e \u003cp\u003e7.3 Tables of Integrals 380\u003c\/p\u003e \u003cp\u003e7.4 Algebraic Identities and Trigonometric Substitutions 386\u003c\/p\u003e \u003cp\u003e7.5 Numerical Methods For Definite Integrals 398\u003c\/p\u003e \u003cp\u003e7.6 Improper Integrals 408\u003c\/p\u003e \u003cp\u003e7.7 Comparison of Improper Integrals 417\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Using The Definite Integral 425\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Areas and Volumes 426\u003c\/p\u003e \u003cp\u003e8.2 Applications to Geometry 436\u003c\/p\u003e \u003cp\u003e8.3 Area and Arc Length In Polar Coordinates 447\u003c\/p\u003e \u003cp\u003e8.4 Density and Center of Mass 456\u003c\/p\u003e \u003cp\u003e8.5 Applications to Physics 467\u003c\/p\u003e \u003cp\u003e8.6 Applications to Economics 478\u003c\/p\u003e \u003cp\u003e8.7 Distribution Functions 489\u003c\/p\u003e \u003cp\u003e8.8 Probability, Mean, and Median 497\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Sequences and Series 507\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Sequences 508\u003c\/p\u003e \u003cp\u003e9.2 Geometric Series 514\u003c\/p\u003e \u003cp\u003e9.3 Convergence of Series 522\u003c\/p\u003e \u003cp\u003e9.4 Tests For Convergence 529\u003c\/p\u003e \u003cp\u003e9.5 Power Series and Interval of Convergence 539\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Approximating Functions Using Series 549\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Taylor Polynomials 550\u003c\/p\u003e \u003cp\u003e10.2 Taylor Series 560\u003c\/p\u003e \u003cp\u003e10.3 Finding and Using Taylor Series 567\u003c\/p\u003e \u003cp\u003e10.4 The Error In Taylor Polynomial Approximations 577\u003c\/p\u003e \u003cp\u003e10.5 Fourier Series 584\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Differential Equations 599\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 What Is a Differential Equation? 600\u003c\/p\u003e \u003cp\u003e11.2 Slope Fields 605\u003c\/p\u003e \u003cp\u003e11.3 Euler’s Method 614\u003c\/p\u003e \u003cp\u003e11.4 Separation of Variables 619\u003c\/p\u003e \u003cp\u003e11.5 Growth and Decay 625\u003c\/p\u003e \u003cp\u003e11.6 Applications and Modeling 637\u003c\/p\u003e \u003cp\u003e11.7 The Logistic Model 647\u003c\/p\u003e \u003cp\u003e11.8 Systems of Differential Equations 657\u003c\/p\u003e \u003cp\u003e11.9 Analyzing The Phase Plane 667\u003c\/p\u003e \u003cp\u003e11.10 Second-Order Differential Equations: Oscillations 674\u003c\/p\u003e \u003cp\u003e11.11 Linear Second-Order Differential Equations 682\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices \u003c\/b\u003e\u003cb\u003e\u003ci\u003eOnline\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Roots, Accuracy, and Bounds \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eB Complex Numbers \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eC Newton’s Method \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eD Vectors In The Plane \u003ci\u003eOnline\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003eReady Reference 693\u003c\/p\u003e \u003cp\u003eAnswers to Odd Numbered Problems 705\u003c\/p\u003e \u003cp\u003eIndex 743\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47988877263077,"sku":"NP9781119777823","price":111.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119777823.jpg?v=1761781883","url":"https:\/\/k12savings.com\/es\/products\/calculus-isbn-9781119777823","provider":"K12savings","version":"1.0","type":"link"}