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Résumé :
Now in its 4th edition, Smith/Minton, Calculus offers students and instructors a mathematically sound text, robust exercise sets and elegant presentation of calculus concepts. When packaged with ALEKS Prep for Calculus, the most effective remediation tool on the market, Smith/Minton offers a complete package to ensure students success in calculus.The new edition has been updated with a reorganization of the exercise sets, making the range of exercises more transparent. Additionally, over 1,000 new classic calculus problems were added....

Biographie:
Asymptotes

1.6, Formal Definition of the Limit

1.7, Limits and Loss-of-Significance Errors

2.1, Tangent Lines and Velocity

2.2, The Derivative

2.3, Computation of Derivatives: The Power Rule

2.4, The Product and Quotient Rules

2.5, The Chain Rule

2.6, Derivatives of Trigonometric Functions

2.7, Implicit Differentiation

2.8, The Mean Value Theorem

3.1, Linear Approximations and Newton's Method

3.2, Maximum and Minimum Values

3.3, Increasing and Decreasing Functions

3.4, Concavity and the Second Derivative Test

3.5, Overview of Curve Sketching

3.6, Optimization

3.7, Related Rates

3.8, Rates of Change in Economics and the Sciences

4.1, Antiderivatives

4.2, Sums and Sigma Notation

4.3, Area

4.4, The Definite Integral

4.5, The Fundamental Theorem of Calculus

4.6, Integration by Substitution

4.7, Numerical Integration

5.1, Area Between Curves

5.2, Volume: Slicing, Disks and Washers

5.3, Volumes by Cylindrical Shells

5.4, Arc Length and Surface Area

5.5, Projectile Motion

5.6, Applications of Integration to Physics and Engineering

6.1, The Natural Logarithm

6.2, Inverse Functions

6.3, The Exponential Function

6.4, The Inverse Trigonometric Functions

6.5, The Calculus of the Inverse Trigonometric Functions

6.6, The Hyperbolic Functions

7.1, Review of Formulas and Techniques

7.2, Integration by Parts

7.3, Trigonometric Techniques of Integration

7.4, Integration of Rational Functions Using Partial Fractions

7.5, Integration Tables and Computer Algebra Systems

7.6, Indeterminate Forms and L'Hopital's Rule

7.7, Improper Integrals

7.8, Probability

8.1, Modeling with Differential Equations

8.2, Separable Differential Equations

8.3, Direction Fields and Euler's Method

8.4, Systems of First-Order Differential Equations

9.1, Sequences of Real Numbers

9.2, Infinite Series

9.3, The Integral and Comparison Tests

9.4, Alternating Series

9.5, Absolute Convergence and the Ratio Test

9.6, Power Series

9.7, Taylor Series

9.8, Applications of Taylor Series

9.9, Fourier Series

10.1, Plane curves and Parametric Equations

10.2, Calculus and Parametric Equations

10.3, Arc Length and Surface Area in Parametric Equations

10.4, Polar Coordinates

10.5, Calculus and Polar Coordinates

10.6, Conic Sections

10.7, Conic Sections in Polar Coordinates

11.1, Vectors in the Plane

11.2, Vectors in Space

11.3, The Dot Product

11.4, The Cross Product

11.5, Lines and Planes in Space

11.6, Surfaces in Space

12.1, Vector-Valued Functions

12.2, The Calculus of Vector-Valued Functions

12.3, Motion in Space

12.4, Curvature

12.5, Tangent and Normal Vectors

12.6, Parametric Surfaces

13.1, Functions of Several Variables

13.2, Limits and Continuity

13...

Sommaire:

Calculus: Early Transcendental Functions

0.1, The Real Numbers and the Cartesian Plane

0.2, Lines and Functions

0.3, Graphing Calculators and Computer Algebra Systems

0.4, Trigonometric Functions

0.5, Transformations of Functions

1.1, A Brief Preview of Calculus: Tangent Lines and the Length of a Curve

1.2, The Concept of Limit

1.3, Computation of Limits

1.4, Continuity and Its Consequences

1.5, Limits Involving Infinity...