Calculus for Biology and Medicine 4th Edition Claudia Neuhauser-Test Bank

(NOTE: Every chapter concludes with Key Phrases and Evaluate Issues.)

1. Preview and Evaluate

• 1.1 Precalculus Abilities Diagnostic Check
• 1.2 Preliminaries
• 1.3 Elementary Features
• 1.4 Graphing

2. Discrete-Time Fashions, Sequences, and Distinction Equations

• 2.1 Exponential Development and Decay
• 2.2 Sequences
• 2.3 Modeling with Recurrence Equations

3. Limits and Continuity

• 3.1 Limits
• 3.2 Continuity
• 3.3 Limits at Infinity
• 3.4 Trigonometric Limits and the Sandwich Theorem
• 3.5 Properties of Steady Features
• 3.6 A Formal Definition of Limits (Optionally available)

4. Differentiation

• 4.1 Formal Definition of the Spinoff
• 4.2 Properties of the Spinoff
• 4.3 Energy Guidelines and Fundamental Guidelines
• 4.4 The Product and Quotient Guidelines, and the Derivatives of Rational and Energy Features
• 4.5 Chain Rule
• 4.6 Implicit Features and Implicit Differentiation
• 4.7 Larger Derivatives
• 4.8 Derivatives of Trigonometric Features
• 4.9 Derivatives of Exponential Features
• 4.10 Inverse Features and Logarithms
• 4.11 Linear Approximation and Error Propagation

5. Purposes of Differentiation

• 5.1 Extrema and the Imply-Worth Theorem
• 5.2 Monotonicity and Concavity
• 5.3 Extrema and Inflection Factors
• 5.4 Optimization
• 5.5 L’Hôpital’s Rule
• 5.6 Graphing and Asymptotes
• 5.7 Recurrence Equations: Stability (Optionally available)
• 5.8 Numerical Strategies: The Newton – Raphson Technique (Optionally available)
• 5.9 Modeling Organic Methods Utilizing Differential Equations (Optionally available)
• 5.10 Antiderivatives

6. Integration

• 6.1 The Particular Integral
• 6.2 The Basic Theorem of Calculus
• 6.3 Purposes of Integration

7. Integration Strategies and Computational Strategies

• 7.1 The Substitution Rule
• 7.2 Integration by Elements and Training Integration
• 7.3 Rational Features and Partial Fractions
• 7.4 Improper Integrals (Optionally available)
• 7.5 Numerical Integration
• 7.6 The Taylor Approximation (elective)
• 7.7 Tables of Integrals (Optionally available)

8. Differential Equations

• 8.1 Fixing Separable Differential Equations
• 8.2 Equilibria and Their Stability
• 8.3 Differential Equation Fashions
• 8.4 Integrating Components and Two-Compartment Fashions

9. Linear Algebra and Analytic Geometry

• 9.1 Linear Methods
• 9.2 Matrices
• 9.3 Linear Maps, Eigenvectors, and Eigenvalues
• 9.4 Demographic Modeling
• 9.5 Analytic Geometry

10. Multivariable Calculus

• 10.1 Two or Extra Unbiased Variables
• 10.2 Limits and Continuity (elective)
• 10.3 Partial Derivatives
• 10.4 Tangent Planes, Differentiability, and Linearization
• 10.5 The Chain Rule and Implicit Differentiation (Optionally available)
• 10.6 Directional Derivatives and Gradient Vectors (Optionally available)
• 10.7 Maximization and Minimization of Features (Optionally available)
• 10.8 Diffusion (Optionally available)
• 10.9 Methods of Distinction Equations (Optionally available)

11. Methods of Differential Equations

• 11.1 Linear Methods: Principle
• 11.2 Linear Methods: Purposes
• 11.3 Nonlinear Autonomous Methods: Principle
• 11.4 Nonlinear Methods: Lotka – Volterra Mannequin of Interspecific Interactions
• 11.5 Extra Mathematical Fashions (Optionally available)

12. Chance and Statistics

• 12.1 Counting
• 12.2 What Is Chance?
• 12.3 Conditional Chance and Independence
• 12.4 Discrete Random Variables and Discrete Distributions
• 12.5 Steady Distributions
• 12.6 Restrict Theorems
• 12.7 Statistical Instruments

Appendices

• A: Steadily Used Symbols
• B: Desk of the Commonplace Regular Distribution

Solutions to Odd-Numbered Issues

References

Picture Credit

Index