Calculus for the life sciences modelling the dynamics of life 2nd Edition by Frederick R Adler, Miroslav Lovric ISBN 0176530789 9780176530785

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ISBN 10: 0176530789 
ISBN 13: 9780176530785
Author: Frederick R Adler, Miroslav Lovric

Mathematics has played a major role in breakthroughs in epidemiology, genetics, physiology, and other biological areas. Calculus for the Life Sciences: Modelling the Dynamics of Life provides life science students with a thorough grounding in mathematics while helping them to understand the role mathematics has in biological science.

Calculus for the life sciences modelling the dynamics of life 2nd Table of contents:

1. Introduction to Calculus and Life Sciences
   1.1 The Role of Mathematics in Life Sciences
   1.2 Overview of Calculus Concepts
   1.3 Modelling Biological Systems

2. Functions and Graphs
   2.1 Types of Functions Common in Life Sciences
   2.2 Graphical Analysis and Interpretation
   2.3 Exponential and Logistic Functions

3. Limits and Continuity
   3.1 Understanding Limits
   3.2 Continuity and Its Biological Significance

4. Derivatives and Their Applications
   4.1 Definition of the Derivative
   4.2 Rules of Differentiation
   4.3 Rate of Change in Biological Systems
   4.4 Applications to Population Growth and Decay

5. Applications of Derivatives
   5.1 Curve Sketching and Analysis
   5.2 Optimization Problems in Biology
   5.3 Related Rates and Biological Applications

6. Integrals and Their Applications
   6.1 Definite and Indefinite Integrals
   6.2 Areas Under Curves in Biological Data
   6.3 Accumulation Functions and Total Growth

7. Modelling with Differential Equations
   7.1 Introduction to Differential Equations
   7.2 First-Order Differential Equations in Life Sciences
   7.3 Population Models: Exponential and Logistic Growth

8. Systems of Differential Equations
   8.1 Predator-Prey Models
   8.2 Competing Species Models
   8.3 Epidemiological Models

9. Numerical Methods and Modelling
   9.1 Euler’s Method
   9.2 Approximations and Computational Tools

10. Case Studies in Life Sciences Modelling
    10.1 Modelling Infectious Disease Spread
    10.2 Enzyme Kinetics
    10.3 Genetic Population Dynamics

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Tags: Frederick R Adler, Miroslav Lovric, Calculus, dynamics