Calculus for the Life Sciences

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
Based on the best-selling Calculus and Its Applications by Marv Bittinger, this new text is appropriate for a two-semester calculus course for life science majors. WithÂ four new chapters and two new co-authors, Calculus for the Life Sciences continues the Bittinger reputation as one of the most student-oriented and clearly written Applied Calculus texts available. The exercises and examples have been substantially updated to include additional relevant life science applications and current topics.
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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