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Calculus for the Life Sciences features interesting, relevant applications that motivate students and highlight the utility of mathematics for the life sciences. This edition also features new ways to engage students with the material, such as Your Turn exercises. The MyMathLab (R) course for the text provides online homework supported by learning resources such as video tutorials, algebra help, and step-by-step examples. Teaching and Learning Experience This program will provide a better teaching and learning experience. Here's how: Personalized help with MyMathLab: MyMathLab delivers proven results by personalizing the learning process. Motivation: Students constantly see the math applied to the life sciences. Built for student success: Proven pedagogy, robust exercise sets, and comprehensive end-of-chapter material help students succeed in the course.Please note that the product you are purchasing does not include MyMathLab. MyMathLab Join over 11 million students benefiting from Pearson MyLabs.This title can be supported by MyMathLab, an online homework and tutorial system designed to test and build your understanding. Would you like to use the power of MyMathLab to accelerate your learning? You need both an access card and a course ID to access MyMathLab. These are the steps you need to take:1. Make sure that your lecturer is already using the system Ask your lecturer before purchasing a MyLab product as you will need a course ID from them before you can gain access to the system.2. Check whether an access card has been included with the book at a reduced cost If it has, it will be on the inside back cover of the book.3. If you have a course ID but no access code, you can benefit from MyMathLab at a reduced price by purchasing a pack containing a copy of the book and an access code for MyMathLab (ISBN:9781292072050)4. If your lecturer is using the MyLab and you would like to purchase the product...Go to www.mymathlab.com to buy access to this interactive study programme. For educator access, contact your Pearson representative. To find out who your Pearson representative is, visit www.pearsoned.co.uk/replocator
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Table of Contents

R. Algebra ReferenceR.1 PolynomialsR.2 FactoringR.3 Rational ExpressionsR.4 EquationsR.5 InequalitiesR.6 ExponentsR.7 Radicals 1. Functions1.1 Lines and Linear Functions1.2 The Least Squares Line1.3 Properties of Functions1.4 Quadratic Functions; Translation and Reflection1.5 Polynomial and Rational Functions Chapter Review Extended Application: Using Extrapolation to Predict Life Expectancy2. Exponential, Logarithmic, and Trigonometric Functions2.1 Exponential Functions2.2 Logarithmic Functions2.3 Applications: Growth and Decay2.4 Trigonometric Functions Chapter Review Extended Application: Power Functions3. The Derivative3.1 Limits3.2 Continuity3.3 Rates of Change3.4 Definition of the Derivative3.5 Graphical Differentiation Chapter Review Extended Application: A Model For Drugs Administered Intravenously4. Calculating the Derivative4.1 Techniques for Finding Derivatives4.2 Derivatives of Products and Quotients4.3 The Chain Rule4.4 Derivatives of Exponential Functions4.5 Derivatives of Logarithmic Functions4.6 Derivatives of Trigonometric Functions Chapter Review Extended Application: Managing Renewable Resources5. Graphs and the Derivative5.1 Increasing and Decreasing Functions5.2 Relative Extrema5.3 Higher Derivatives, Concavity, and the Second Derivative Test5.4 Curve Sketching Chapter Review Extended Application: A Drug Concentration Model for Orally Administered Medications 6. Applications of the Derivative6.1 Absolute Extrema6.2 Applications of Extrema6.3 Implicit Differentiation6.4 Related Rates6.5 Differentials: Linear Approximation Chapter Review Extended Application: A Total Cost Model for a Training Program7. Integration7.1 Antiderivatives7.2 Substitution7.3 Area and the Definite Integral7.4 The Fundamental Theorem of Calculus7.5 The Area Between Two Curves Chapter Review Extended Application: Estimating Depletion Dates for Minerals8. Further Techniques and Applications of Integration8.1 Numerical Integration8.2 Integration by Parts8.3 Volume and Average Value8.4 Improper Integrals Chapter Review Extended Application: Flow Systems 9. Multivariable Calculus9.1 Functions of Several Variables9.2 Partial Derivatives9.3 Maxima and Minima9.4 Total Differentials and Approximations9.5 Double Integrals Chapter Review Extended Application: Optimization for a Predator10. Matrices10.1 Solution of Linear Systems10.2 Addition and Subtraction of Matrices10.3 Multiplication of Matrices10.4 Matrix Inverses10.5 Eigenvalues and Eigenvectors Chapter Review Extended Application: Contagion11. Differential Equations 11.1 Solutions of Elementary and Separable Differential Equations11.2 Linear First-Order Differential Equations11.3 Euler's Method11.4 Linear Systems of Differential Equations11.5 Non-Linear Systems of Differential Equations11.6 Applications of Differential Equations Chapter Review Extended Application: Pollution of the Great Lakes12. Probability 12.1 Sets12.2 Introduction to Probability12.3 Conditional Probability; Independent Events; Bayes' Theorem12.4 Discrete Random Variables; Applications to Decision Making Chapter Review Extended Application: Medical Diagnosis13. Probability and Calculus13.1 Continuous Probability Models13.2 Expected Value and Variance of Continuous Random Variables.13.3 Special Probability Density Functions Chapter Review Extended Application: Exponential Waiting Times 14. Discrete Dynamical Systems14.1 Sequences14.2 Equilibrium Points14.3 Determining Stability Chapter Review Extended Application: Mathematical Modeling in a Dynamic World Special Topics (available online) Sequences and Series Geometric Sequences Annuities: An Application of Sequences Taylor Polynomials Infinite Series Taylor Series Newton's Method L'Hopital's Rule Markov Chains

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