Mathematical Methods for Life Sciences 1st Edition by Cinzia Bisi, Rita Fioresi ISBN 9781032362298 1032362294

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ISBN 10: 1032362294
ISBN 13: 9781032362298
Author: Cinzia Bisi, Rita Fioresi

Mathematical Methods for Life Sciences 1st Edition Table of contents:

Chapter 1 ◾ Functions in Applied Sciences

1.1 The Concept of Function

1.2 Linear Functions

1.3 Polynomial Functions

1.4 Rational Functions and Algebraic Functions

1.5 The Exponential and Logarithmic Functions

1.6 Malthusian Law

1.7 Elementary Trigonometric Functions

1.8 Exercises With Solutions

1.9 Suggested Exercises

Chapter 2 ◾ Limits and Derivatives

2.1 Limits

2.2 Properties of Limits and Standard Limits

2.3 Indeterminate Forms

2.4 Continuity

2.5 Derivative of a Function

2.6 Derivability and Continuity

2.7 De L’Hopital’s Rule

2.8 Derivative of the Inverse Function

2.9 Exercises With Solutions

2.10 Suggested Exercises

2.11 Appendix: Derivation Rules

2.12 Appendix: Derivatives

2.13 Appendix: Theorems on Limits

Chapter 3 ◾ Applications of the Derivative

3.1 The Linear Approximation

3.2 The Derivative as Rate of Change

3.3 Local Maxima and Minima

3.4 Graph Sketching

3.5 Optimization

3.6 Exercises with Solutions

3.7 Suggested Exercises

3.8 Appendix: Theorems of Differential Calculus

Chapter 4 ◾ Integrals

4.1 The Definite Integral

4.2 Properties of the Definite Integral

4.3 The Fundamental Theorem of Calculus

4.4 Integration by Substitution

4.5 Integration by Parts

4.6 Integration of Rational Functions

4.7 Integration of Trigonometric Functions

4.8 Applications

4.9 Exercises With Solutions

4.10 Suggested Exercises

4.11 Appendix: Indefinite Integrals

4.12 Appendix: Theorems on Integral Calculus

Chapter 5 ◾ First-Order Differential Equations

5.1 First-Order Equations

5.2 The Cauchy Problem

5.3 Direction Field

5.4 Separable Equations

5.5 Newton’s Law of Cooling

5.6 Linear Equations

5.7 Mixing Problems

5.8 Malthusian Laws and Population Dynamics

5.9 Homogeneous Equations

5.10 Autonomous Differential Equations

5.11 The Logistics Model

5.12 Solution of the Logistic Equation

5.13 Exercises With Solutions

5.14 Suggested Exercises

Chapter 6 ◾ Second-Order Differential Equations

6.1 Cauchy’s Theorem

6.2 The Wronskian

6.3 Homogeneous Linear Equations

6.4 Linear Equations

6.5 Linear Equations with Constant Coefficients

6.6 Equations with Constant Coefficients: The General Case

6.7 Simple Harmonic Motion

6.8 Harmonic Motion with External Force

6.9 Damped Harmonic Motion

6.10 Exercises with Solutions

6.11 Suggested Exercises

6.12 Appendix: Linear Systems

Chapter 7 ◾ Elementary Statistics

7.1 Populations and Variables

7.2 Absolute Frequencies and Percentages

7.3 Graphical Representation of Data

7.4 Mode, Average and Median

7.5 Variance and Standard Deviation

7.6 Quartiles and Interquartile Range

7.7 Normal Distribution

7.8 Exercises with Solutions

7.9 Suggested Exercises

Appendix A: Solutions of Some Exercises

Bibliography

Index

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Tags: Cinzia Bisi, Rita Fioresi, Mathematical Methods, Life Sciences