Biocalculus: Calculus For Life Sciences - 15th Edition - by James Stewart, Troy Day - ISBN 9781305177291

Biocalculus: Calculus For Life Sciences
15th Edition
James Stewart, Troy Day
Publisher: Cengage Learning
ISBN: 9781305177291

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Name: Biocalculus: Calculus For Life Sciences
Author: James Stewart, Troy Day
ISBN: 9781305177291

Chapter 1 - Functions And Sequences Chapter 1.1 - Four Ways To Represent A Function Chapter 1.2 - A Catalog Of Essential Functions Chapter 1.3 - New Functions From Old Functions Chapter 1.4 - Exponential Functions Chapter 1.5 - Logarithms; Semilog And Log-log Plots Chapter 1.6 - Sequences And Difference Equations Chapter 2 - Limits Chapter 2.1 - Limits Of Sequences Chapter 2.2 - Limits Of Functions At Infinity

Chapter 2.3 - Limits Of Functions At Finite Numbers Chapter 2.4 - Limits: Algebraic Methods Chapter 2.5 - Continuity Chapter 3 - Derivatives Chapter 3.1 - Derivatives And Rates Of Change Chapter 3.2 - The Derivative As A Function Chapter 3.3 - Basic Differentiation Formulas Chapter 3.4 - The Product And Quotient Rules Chapter 3.5 - The Chain Rule Chapter 3.6 - Exponential Growth And Decay Chapter 3.7 - Derivatives Of The Logarithmic And Inverse Tangent Functions Chapter 3.8 - Linear Approximations And Taylor Polynomials Chapter 4 - Applications Of Derivatives Chapter 4.1 - Maximum And Minimum Values Chapter 4.2 - How Derivatives Affect The Shape Of A Graph Chapter 4.4 - Optimization Problems Chapter 4.5 - Recursions: Equilibria And Stability Chapter 5 - Integrals Chapter 5.1 - Areas, Distances, And Pathogenesis Chapter 5.2 - The Definite Integral Chapter 5.3 - The Fundamental Theorem Of Calculus Chapter 5.4 - The Substitution Rule Chapter 6.1 - Areas Between Curves Chapter 6.4 - Volumes Chapter 7.4 - Separable Equations Chapter 7.6 - Phase Plane Analysis Chapter 8.1 - Coordinate Systems Chapter 8.2 - Vectors Chapter 8.3 - The Dot Product Chapter 8.6 - The Inverse And Determinant Of A Matrix Chapter 8.8 - Iterated Matrix Models Chapter 9 - Multivariable Calculus Chapter 9.1 - Functions Of Several Variables Chapter 9.2 - Partial Derivatives Chapter 9.3 - Tangent Planes And Linear Approximations Chapter 9.4 - The Chain Rule Chapter 9.5 - Directional Derivatives And The Gradient Vector Chapter 10 - Systems Of Linear Differential Equations Chapter 10.1 - Qualitative Analysis Of Linear Systems Chapter 10.2 - Solving Systems Of Linear Differential Equations Chapter 10.3 - Applications Chapter 10.4 - Systems Of Nonlinear Differential Equations Chapter C - Trigonometry Chapter D - Precise Definitions Of Limits Chapter G - Complex Numbers

Book Details

The chief goal in this textbook is to show students how calculus relates to biology, with a style that maintains rigor without being overly formal. The text motivates and illustrates the topics of calculus with examples drawn from many areas of biology, including genetics, biomechanics, medicine, pharmacology, physiology, ecology, epidemiology, and evolution, to name a few.