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Briggs/Cochran Calculus Ser.: Single Variable Calculus by Lyle Cochran, Bill L. Briggs and William L. Briggs (2010, Trade Paperback)
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About this product
Product Identifiers
PublisherAddison Wesley
ISBN-100321664078
ISBN-139780321664075
eBay Product ID (ePID)79832096
Product Key Features
Number of Pages650 Pages
LanguageEnglish
Publication NameSingle Variable Calculus
SubjectCalculus, Algebra / General
Publication Year2010
TypeTextbook
AuthorLyle Cochran, Bill L. Briggs, William L. Briggs
Subject AreaMathematics
SeriesBriggs/Cochran Calculus Ser.
FormatTrade Paperback
Dimensions
Item Height1 in
Item Weight57.8 Oz
Item Length10.9 in
Item Width8.5 in
Additional Product Features
Intended AudienceCollege Audience
Dewey Edition23
Volume NumberPt. 1
Dewey Decimal515
Table Of ContentChapter 1: Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Trigonometric Functions and Their Inverses Chapter 2: Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits Chapter 3: Derivatives 3.1 Introducing the Derivative 3.2 Rules of Differentiation 3.3 The Product and Quotient Rules 3.4 Derivatives of Trigonometric Functions 3.5 Derivatives as Rates of Change 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Related Rates Chapter 4: Applications of the Derivative 4.1 Maxima and Minima 4.2 What Derivatives Tell Us 4.3 Graphing Functions 4.4 Optimization Problems 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem 4.7 L'Hapital's Rule 4.8 Antiderivatives Chapter 5: Integration 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule Chapter 6: Applications of Integration 6.1 Velocity and Net Change 6.2 Regions between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Physical Applications Chapter 7: Logarithmic and Exponential Functions 7.1 Inverse Functions 7.2 The Natural Logarithmic and Exponential Functions 7.3 Logarithmic and Exponential Functions with Other Bases 7.4 Exponential Models 7.5 Inverse Trigonometric Functions 7.6 L'Hapital's Rule Revisited and Growth Rates of Functions Chapter 8: Integration Techniques 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Partial Fractions 8.5 Other Integration Strategies 8.6 Numerical Integration 8.7 Improper Integrals 8.8 Introduction to Differential Equations Chapter 9: Sequences and Infinite Series 9.1 An Overview 9.2 Sequences 9.3 Infinite Series 9.4 The Divergence and Integral Tests 9.5 The Ratio, Root, and Comparison Tests 9.6 Alternating Series Review Chapter 10: Power Series 10.1 Approximating Functions with Polynomials 10.2 Power Series 10.3 Taylor Series 10.4 Working with Taylor Series Chapter 11: Parametric and Polar Curves 11.1 Parametric Equations 11.2 Polar Coordinates 11.3 Calculus in Polar Coordinates 11.4 Conic Sections
SynopsisDrawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher's voice beyond the classroom. That voice-evident in the narrative, the figures, and the questions interspersed in the narrative-is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers' geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope., Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher s voice beyond the classroom. That voice evident in the narrative, the figures, and the questions interspersed in the narrative is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope."
LC Classification NumberQA303.2.B75 2010
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