Calculus for the Life Sciences

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Calculus for the Life Sciences
- Chapter 1 Functions and Graphs
- 1.1 Slope and Linear Functions
- 1.2 Polynomial Functions
- 1.3 Rational and Radical Functions
- 1.4 Trigonometric Functions
- 1.5 Trigonometric Functions and the Unit Circle
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Carbon Dioxide Concentrations
- Chapter 2 Differentiation
- 2.1 Limits and Continuity: Numerically and Graphically
- 2.2 Limits: Algebraically
- 2.3 Average Rates of Change
- 2.4 Differentiation Using Limits of Difference Quotients
- 2.5 Differentiation Techniques: Introduction
- 2.6 Instantaneous Rates of Change
- 2.7 Differentiation Techniques: The Product and Quotient Rules
- 2.8 The Chain Rule
- 2.9 Higher-Order Derivatives
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Rate of Epidemic Spread: SARS
- Chapter 3 Applications of Differentiation
- 3.1 Using the First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
- 3.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
- 3.3 Graph Sketching: Asymptotes and Rational Functions
- 3.4 Using Derivatives to Find Absolute Maximum and Minimum Values
- 3.5 Maximum-Minimum Problems
- 3.6 Approximation Techniques
- 3.7 Implicit Differentiation of Related Rates
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Polymorphism
- Chapter 4 Exponential and Logarithmic Functions
- 4.1 Exponential Functions
- 4.2 Logarithmic Functions
- 4.3 Applications: The Uninhibited Growth Model, dP/dt = kP
- 4.4 Applications: Decay
- 4.5 The Derivatives of ax and logax
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Maximum Sustainable Harvest
- Chapter 5 Integration
- 5.1 Integration
- 5.2 Riemann Sums and Definite Integrals
- 5.3 Fundamental Theorem of Calculus
- 5.4 Properties of Definite Integrals
- 5.5 Integration Techniques: Substitution
- 5.6 Integration Techniques: Integration by Parts
- 5.7 Integration Techniques: Tables and Technology
- 5.8 Volume
- 5.9 Improper Integrals
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Estimating Dinosaur Mass
- Chapter 6 Matrices
- 6.1 Matrix Operations
- 6.2 Solving Linear Systems of Equations
- 6.3 Finding a Matrix Inverse and Determinant
- 6.4 Computing Eigenvalues and Eigenvectors
- 6.5 Solving Difference Equations
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Population Growth
- Chapter 7 Functions of Several Variables
- 7.1 Functions of Several Variables
- 7.2 Partial Derivatives
- 7.3 Maximum-Minimum Problems
- 7.4 An Application: The Method of Least Squares
- 7.5 Multiple Integration
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Stocking Fish
- Chapter 8 First-Order Differential Equations
- 8.1 Differential Equations and Initial-Value Problems
- 8.2 Linear First-Order Differential Equations
- 8.3 Stability of Autonomous Differential Equations
- 8.4 Separable Differential Equations
- 8.5 Numerical Solutions of Differential Equations
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Larvae and Forest Defoliation
- Chapter 9 Higher-Order and Systems of Differential Equations
- 9.1 Higher-Order Homogeneous Differential Equations
- 9.2 Higher-Order Nonhomogeneous Differential Equations
- 9.3 Systems of Linear Differential Equations
- 9.4 Matrices and Trajectories
- 9.5 Models of Population Biology
- 9.6 Numerical Methods
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Epidemics
- Chapter 10 Probability
- 10.1 Probability
- 10.2 Multiplication Trees and Bayes’ Rule
- 10.3 The Binomial Distribution
- 10.4 Expected Value and Standard Deviation for Discrete Random Variables
- 10.5 Continuous Random Variables
- 10.6 Poisson Process
- 10.7 The Normal Distribution
- Summary and Review
- Test
- EXTENDED LIFE SCIENCE CONNECTION: Axenic Cultures
- Appendix A: Review of Basic Algebra
- Appendix B: Functions
- Tables
- Integration Formulas
- Areas for a Standard Normal Distribution
- Answers
- Index
Country USA
Brand Pearson
Manufacturer Pearson
Binding Hardcover
UnitCount 1
EANs 9780321279354
ReleaseDate 0000-00-00

Country	USA
Brand	Pearson
Manufacturer	Pearson
Binding	Hardcover
UnitCount	1
EANs	9780321279354
ReleaseDate	0000-00-00

Calculus for the Life Sciences

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