Pearson - Calculus Early Transcendentals - Dale Varberg, Edwin J. Purcell & Steve E. Rigdon

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Description

For freshman/sophomore-level courses treating calculus of both one and several variables.

Clear and Concise!

Varberg focuses on the most critical concepts freeing you to teach the way you want!

This popular calculus text remains the shortest mainstream calculus book available — yet covers all the material needed by, and at an appropriate level for, students in engineering, science, and mathematics. It's conciseness and clarity helps students focus on, and understand, critical concepts in calculus without them getting bogged down and lost in excessive and unnecessary detail. It is accurate, without being excessively rigorous, up-to-date without being faddish. The authors make effective use of computing technology, graphics, and applications. Ideal for instructors who want a no-nonsense, concisely written treatment.

Features

• Shorter book = smaller price tag

• Perfectly paced – The economical presentation enables instructors to move through the book at a reasonable pace, covering one section per lecture easily.

• Rigor is emphasized, while also developing conceptual understanding – Helps students to devise a mental picture before getting a formal definition.

• Student development of “number sense” is encouraged – Emphasizes estimation as a technique to learn number sense, which helps students to catch their numerical mistakes by recognizing answers that don’t make sense.

• Moderate and reasonable integration of technology – Technology is carefully incorporated in exercises (and marked as such). Each chapter has 2 technology projects divided into 3 parts: (1) Preparation (think about the question before diving into technology) (2) Using Technology (3) Reflection (think a little deeper).

• Clear connections are drawn between algebra and geometry in the text and in figures – For example,geometric reasoning is used to understand a difficult concept in Figure 2 and Example on p.437 of the eighth edition.

• Huge number of high quality exercises that have benefited from years of development:

– Makes creating varied assignments easy.

– Every section exercise set begins with a Concepts Review, ensuring students get the big picture before sharpening his/her skills.

• Figures convey, not hide, mathematical ideas – Figures are intentionally drawn simply, to reflect a sketch a student might draw, unlike the overly elaborate figures in other books.

New To This Edition

• New Chapter Openers now appear throughout the book:

– Each chapter begins with a set of “Review and Preview Problems” that serve as a necessary review of previous material or a preview of things to come.

• MyMathLab, the online course designed to accompany the text – Includes an online tutorial, assessment, text, videos, Student Solutions Manual, and access to Prentice Hall Tutor Center.

• Maple, Student Version Software

• Numerical methods rearranged to the appropriate chapters:

– Newton’s method in “Applications of the Derivative”

– numerical integration in “The Definite Integral”

– Taylor polynomial approximation in “Infinite Series”

– Euler’s method in “Transcendental Functions” or “Techniques of Integration and Differential Equations.”

• Single-chapter coverage of two- and three-dimensional vectors rather than in separate chapters.

• Streamlined material on conic sections – from five sections to three.

• New section on “Strategies for Integration” in the chapter on Techniques of Integration – Includes a summary of the methods of integration and a comparison of exact and numerical integration.

• New section on “Change of Variables in Multiple Integrals” in the chapter on Multiple Integration.

• New section on “Probability and Random Variables” in the chapter on Applications of the Integral.

Table of Contents

1		PRELIMINARIES
	1.1	Real Numbers, Estimation, and Logic
	1.2	Inequalities and Absolute Values
	1.3	The Rectangular Coordinate System
	1.4	Graphs of Equations
	1.5	Functions and Their Graphs
	1.6	Operations on Functions
	1.7	Exponential and Logarithmic Functions
	1.8	The Trigonometric Functions
	1.9	The Inverse Trigonometric Functions
	1.10	Chapter Review
2		LIMITS
	2.1	Introduction to Limits
	2.2	Rigorous Study of Limits
	2.3	Limit Theorems
	2.4	Limits at Infinity; Infinite Limits
	2.5	Limits Involving Trigonometric Functions
	2.6	Natural Exponential, Natural Log, and Hyperbolic Functions
	2.7	Continuity of Functions
	2.8	Chapter Review
3		THE DERIVATIVE
	3.1	Two Problems with One Theme
	3.2	The Derivative
	3.3	Rules for Finding Derivatives
	3.4	Derivatives of Trigonometric Functions
	3.5	The Chain Rule
	3.6	Higher-Order Derivatives
	3.7	Implicit Differentiation
	3.8	Related Rates
	3.9	Derivatives of Exponential and Logarithmic Functions
	3.10	Derivatives of Hyperbolic and Inverse Trigonometric Functions
	3.11	Differentials and Approximations
	3.12	Chapter Review
4		APPLICATIONS OF THE DERIVATIVE
	4.1	Maxima and Minima
	4.2	Monotonicity and Concavity
	4.3	Local Extrema and Extrema on Open Intervals
	4.4	Practical Problems
	4.5	Graphing Functions Using Calculus
	4.6	The Mean Value Theorem for Derivatives
	4.7	Solving Equations Numerically
	4.8	Antiderivatives
	4.9	Introduction to Differential Equations
	4.10	Exponential Growth and Decay
	4.11	Chapter Review
5		THE DEFINITE INTEGRAL
	5.1	Introduction to Area
	5.2	The Definite Integral
	5.3	The 1st Fundamental Theorem of Calculus
	5.4	The 2nd Fundamental Theorem of Calculus
		and the Method of Substitution
	5.5	The Mean Value Theorem for Integrals & the Use of Symmetry
	5.6	Numerical Integration
	5.7	Chapter Review
6		APPLICATIONS OF THE INTEGRAL
	6.1	The Area of a Plane Region
	6.2	Volumes of Solids: Slabs, Disks, Washers
	6.3	Volumes of Solids of Revolution: Shells
	6.4	Length of a Plane Curve
	6.5	Work and Fluid Pressure
	6.6	Moments and Center of Mass
	6.8	Probability and Random Variables
	6.8	Chapter Review
7		TECHNIQUES OF INTEGRATION &
		DIFFERENTIAL EQUATIONS
	7.1	Basic Integration Rules
	7.2	Integration by Parts
	7.3	Some Trigonometric Integrals
	7.4	Rationalizing Substitutions
	7.5	Integration of Rational Functions Using Partial Fractions
	7.6	Strategies for Integration
	7.7	First-Order Linear Differential Equations
	7.8	Approximations for Differential Equations
	7.9	Chapter Review
8		INDETERMINATE FORMS &
		IMPROPER INTEGRALS
	8.1	Indeterminate Forms of Type 0/0
	8.2	Other Indeterminate Forms
	8.3	Improper Integrals: Infinite Limits of Integration
	8.4	Improper Integrals: Infinite Integrands
	8.5	Chapter Review
9		INFINITE SERIES
	9.1	Infinite Sequences
	9.2	Infinite Series
	9.3	Positive Series: The Integral Test
	9.4	Positive Series: Other Tests
	9.5	Alternating Series, Absolute Convergence,
		and Conditional Convergence
	9.6	Power Series
	9.7	Operations on Power Series
	9.8	Taylor and Maclaurin Series
	9.9	The Taylor Approximation to a Function
	9.10	Chapter Review
10		CONICS AND POLAR COORDINATES
	10.1	The Parabola
	10.2	Ellipses and Hyperbolas
	10.3	Translation and Rotation of Axes
	10.4	Parametric Representation of Curves in the Plane
	10.5	The Polar Coordinate System
	10.6	Graphs of Polar Equations
	10.7	Calculus in Polar Coordinates
	10.8	Chapter Review
11		GEOMETRY IN SPACE & VECTORS
	11.1	Cartesian Coordinates in Three-Space
	11.2	Vectors
	11.3	The Dot Product
	11.4	The Cross Product
	11.5	Vector Valued Functions & Curvilinear Motion
	11.6	Lines and Tangent Lines in Three-Space
	11.7	Curvature and Components of Acceleration
	11.8	Surfaces in Three Space
	11.9	Cylindrical and Spherical Coordinates
	11.10	Chapter Review
12		DERIVATIVES FOR FUNCTIONS OF
		TWO OR MORE VARIABLES
	12.1	Functions of Two or More Variables
	12.2	Partial Derivatives
	12.3	Limits and Continuity
	12.4	Differentiability
	12.5	Directional Derivatives and Gradients
	12.6	The Chain Rule
	12.7	Tangent Planes and Approximations
	12.8	Maxima and Minima
	12.9	The Method of Lagrange Multipliers
	12.10	Chapter Review
13		MULTIPLE INTEGRATION
	13.1	Double Integrals over Rectangles
	13.2	Iterated Integrals
	13.3	Double Integrals over Nonrectangular Regions
	13.4	Double Integrals in Polar Coordinates
	13.5	Applications of Double Integrals
	13.6	Surface Area
	13.7	Triple Integrals (Cartesian Coordinates)
	13.8	Triple Integrals (Cyl & Sph Coordinates)
	13.9	Change of Variables in Multiple Integrals
	13.10	Chapter Review
14		VECTOR CALCULUS
	14.1	Vector Fields
	14.2	Line Integrals
	14.3	Independence of Path
	14.4	Green's Theorem in the Plane
	14.5	Surface Integrals
	14.6	Gauss's Divergence Theorem
	14.7	Stokes's Theorem
	14.8	Chapter Review
15		DIFFERENTIAL EQUATIONS
	15.1	Linear Homogeneous Equations
	15.2	Nonhomogeneous Equations
	15.3	Applications of Second-Order Equations
	15.4	Chapter Review
		APPENDIX
	A.1	Mathematical Induction
	A.2	Proofs of Several Theorems

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Calculus [COMPLETE TEXTS (CALCULUS 1-3)] (Mathematics)

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Instructor's Solutions Manual for Calculus Early Transcendentals
Rigdon
©2007 | Pearson | On-line Supplement; 804 pp | Live
ISBN-10: 0131961659 | ISBN-13: 9780131961654

PowerPoint Slides (Download only) for Calculus Early Transcendentals
Varberg & Rech
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 0136140467 | ISBN-13: 9780136140467

Technology Projects Calculus ET (download only)
Varberg, Purcell & Rigdon
©2007 | Pearson | On-line Supplement | Live
ISBN-10: 013600802X | ISBN-13: 9780136008026

Test Item File (Download only) for Calculus Early Transcendentals
Tamarack
©2007 | Pearson | On-line Supplement; 620 pp | Live
ISBN-10: 0131571672 | ISBN-13: 9780131571679

TestGen® Computerized Test Bank for Calculus Early Transcendentals
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MathXL -- Instant Access -- for Calculus Early Transcendentals (24-month)
Varberg, Purcell & Rigdon
©2007 | Pearson | On-line Supplement | Live
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CALC EARLY TRANSCENDNTLS STDNT STUDY PAK VP
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STDNT STUDY PAK, SA Calculus Early Transcendentals
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Insight Into Calculus: Using Texas Instruments Graphics Calculators
Ward & Wilberscheid
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Concept Videos: Algebra
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Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
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Graphing Calculator Tutorial CD
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Spanish Basic Math Study Card
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MathXL -- Digital Access Code (24-month access)
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Online purchase price: $82.00More Info

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