Calculus: Single Variable / Edition 2

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Blank and Krantz's Calculus 2e brings togethertime-tested methods and innovative thinking to address the needs oftoday's students, who come from a wide range of backgrounds andlook ahead to a variety of futures. Using meaningful examples,credible applications, and incisive technology, Blank and Krantz'sCalculus 2e strives to empower students, enhance their criticalthinking skills, and equip them with the knowledge and skills tosucceed in the major or discipline they ultimately choose tostudy.  Blank and Krantz's engaging style and clear writingmake the language of mathematics accessible, understandable andenjoyable, while maintaining high standards for mathematical rigor.Using meaningful examples, credible applications, and incisivetechnology, Blank and Krantz's Calculus 2e strives toempower students, enhance their critical thinking skills, and equipthem with the knowledge and skills to succeed in the major ordiscipline they ultimately choose to study.  Blank andKrantz's engaging style and clear writing make the language ofmathematics accessible, understandable and enjoyable, whilemaintaining high standards for mathematical rigor.

Blank and Krantz's Calculus 2e is available withWileyPLUS, an online teaching and learning environmentinitially developed for Calculus and Differential Equationscourses. WileyPLUS integrates the complete digital textbookwith powerful student and instructor resources as well as onlineauto-graded homework. 

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Product Details

  • ISBN-13: 9780470601983
  • Publisher: Wiley
  • Publication date: 10/4/2010
  • Edition description: New Edition
  • Edition number: 2
  • Pages: 832
  • Product dimensions: 8.80 (w) x 10.00 (h) x 1.40 (d)

Table of Contents


Supplementary Resources.


About the Authors.

C H A P T E R 1 Basics.


1 Number Systems.

2 Planar Coordinates and Graphing in the Plane.

3 Lines and Their Slopes.

4 Functions and Their Graphs.

5 Combining Functions.

6 Trigonometry.

Summary of Key Topics.

Review Exercises.

Genesis & Development 1.

C H A P T E R 2 Limits.


1 The Concept of Limit.

2 Limit Theorems.

3 Continuity.

4 Infinite Limits and Asymptotes.

5 Limits of Sequences.

6 Exponential Functions and Logarithms.

Summary of Key Topics.

Review Exercises.

Genesis & Development 2.

C H A P T E R 3 The Derivative.


1 Rates of Change and Tangent Lines.

2 The Derivative.

3 Rules for Differentiation.

4 Differentiation of Some Basic Functions.

5 The Chain Rule.

6 Derivatives of Inverse Functions.

7 Higher Derivatives.

8 Implicit Differentiation.

9 Differentials and Approximation of Functions.

10 Other Transcendental Functions.

Summary of Key Topics.

Review Exercises.

Genesis & Development 3.

C H A P T E R 4 Applications of the Derivative.


1 Related Rates.

2 The Mean Value Theorem.

3 Maxima and Minima of Functions.

4 Applied Maximum-Minimum Problems.

5 Concavity.

6 Graphing Functions.

7 l’Hoˆ pital’s Rule.

8 The Newton-Raphson Method.

9 Antidifferentiation and Applications.

Summary of Key Topics.

Review Exercises.

Genesis & Development 4.

C H A P T E R 5 The Integral.


1 Introduction to Integration—The Area Problem.

2 The Riemann Integral.

3 Rules for Integration.

4 The Fundamental Theorem of Calculus.

5 A Calculus Approach to the Logarithm and ExponentialFunctions.

6 Integration by Substitution.

7 More on the Calculation of Area.

8 Numerical Techniques of Integration.

Summary of Key Topics.

Review Exercises.

Genesis & Development 5.

C H A P T E R 6 Techniques of Integration.


1 Integration by Parts.

2 Powers and Products of Trigonometric Functions.

3 Trigonometric Substitution.

4 Partial Fractions—Linear Factors.

5 Partial Fractions—Irreducible Quadratic Factors.

6 Improper Integrals—Unbounded Integrands.

7 Improper Integrals—Unbounded Intervals.

Summary of Key Topics.

Review Exercises.

Genesis & Development 6.

C H A P T E R 7 Applications of the Integral.


1 Volumes.

2 Arc Length and Surface Area.

3 The Average Value of a Function.

4 Center of Mass.

5 Work.

6 First Order Differential Equations—SeparableEquations.

7 First Order Differential Equations—Linear Equations.

Summary of Key Topics.

Review Exercises.

Genesis & Development 7.

C H A P T E R 8 Infinite Series.


1 Series.

2 The Divergence Test and the Integral Test.

3 The Comparison Tests.

4 Alternating Series.

5 The Ratio and Root Tests.

6 Introduction to Power Series.

7 Representing Functions by Power Series.

8 Taylor Series.

Summary of Key Topics.

Review Exercises.

Genesis & Development 8.

Table of Integrals.

Answers to Selected Exercises.


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