Pages similar to: Exponential growth and decay modeled by discrete dynamical systems
- Doubling time and half-life of exponential growth and decay
How exponential growth is characterized by a doubling time and exponential decay is characterized by a half-life. - More details on solving linear discrete dynamical systems
- Discrete exponential growth and decay exercises
Exercises on solving problems involving exponential growth and decay in discrete time. - Discrete exponential growth and decay exercise answers
Answers to selected exercises on solving problems involving exponential growth and decay in discrete time. - A model of chemical pollution in a lake
A discrete dynamical system model of chemical pollution in a lake illustrates the concept of movement toward equilibrium. - Chemical pollution model exercises
Exercises on solving dynamical systems for chemical pollution in a lake to determine the movement toward equilibrium. - Chemical pollution model exercises answers
Answers to selected Exercises on solving dynamical systems for chemical pollution in a lake. - Limits of exponential functions at infinity
Calculating limits of exponential functions as a variable goes to infinity. - Exponential growth and decay: a differential equation
Solving a differential equation to find an unknown exponential function. - The idea of a dynamical system
The basic concept of a dynamical system as the evolution of something over time. The fundamental ideas of the state space and temporal evolution rules are illustrated with examples featuring interactive graphics. - An introduction to discrete dynamical systems
Overview of discrete dynamical systems, focusing on the simplest one-dimensional case, where the dynamics are given by iterating a function. - Developing an initial model to describe bacteria growth
By analyzing some data and hypothesizing rules for cell division, we develop a discrete dynamical system for the growth of a population of bacteria. - Bacteria growth model exercises
Exercises on developing discrete dynamical systems for the growth of a population of bacteria. - Bacteria growth model exercise answers
Answers to selected exercises on developing discrete dynamical systems for the growth of a population of bacteria. - Basic rules for exponentiation
A brief overview of the basic rules for exponents or powers. - The exponential function
Overview of the exponential function and a few of its properties. - Redundant parameters in the exponential function
Calculation showing that in the exponential function, changing either the base or a constant in the exponent have the same effect on the function. - Constructing a mathematical model for penicillin clearance
We give a word model for how penicillin should be cleared from the blood and allow you to construct a mathematical model to fit some data. - Penicillin clearance model exercises
Exercises and developing discrete dynamical system models for the clearance of penicillin from the blood. - Penicillin clearance model exercise answers
Answers to selected exercises on developing discrete dynamical systems for the clearance of penicillin.