Mathematical Models of Disease Spread: A Curriculum Unit
Contents:
- Overview of the Unit
- Rationale and Objectives
- Section I
- The Origins of Microbes
- How Diseases Spread
- Cholera
- Malaria
- Immunity
- The Mathematical Connections
- Lesson Plan I
- Lesson II
- Lesson Plan III
- Lesson Plan IV
- Bibliography
- Web Sites
- Appendix: Connecting to the Mathematics Standards
- Endnotes
To Guide Entry
Overview of the Unit
In today’s society, there is an increasing demand for understanding how mathematics is relevant to everyday activities. As this demand for the application of mathematics increases, teachers
Read MoreProbability and Statistics: Formulas and Concepts
Counting
- Multiplication Rule: There are n1n2 . . . nr possible outcomes if an experiment has r steps and the ith step has ni outcomes.
- Ordered, Without Replacement: There are n(n−1)(n−2)…(n−k + 1) = n! / (n−k)! ways to choose k items out of n without replacement if the order in which the k items are chosen matters (e.g., out of 10 people, choose a president, vice president, and treasurer).
- Unordered, Without Replacement: There are n! / (n−k)!k! ways to choose k items out of n without replacement
Mastering Market Research: Surveys and Data Collection
Selection of Information Sources
In general, we can say that investigations can be:
- Exploratory: Generally performed after or secondary to qualitative information.
- Descriptive: Sources usually require data to observe behaviors, beliefs, habits, and attitudes.
- Grounded: Require the use of random testing techniques, laboratory work, or statistics.
Primary data is information not available, internally or externally. It requires some time to develop, and its cost is high. Secondary data is information already
Read MoreTree and Forest Measurement: Understanding Dendrometry
Dendrometry: Measuring Trees and Forests
Understanding Dendrometry
Dendrometry is the science that deals with determining the volume of forest trees and logs, as well as the growth and production of trees and forests. It involves measuring the volume of trees and forest stands, determining their age, and calculating their growth.
Key Concepts in Dendrometry
- Dendrometry: The measurement of trees and wooded masses.
- Epidometry: Studies growth in volume, determines the age of trees and forest masses, and
Understanding Proportionality and Similarity in Geometry
Two quantities, X and Y, are proportional if their ratio is constant: y / x = m (or equivalently, y = mx). In this case, the number m is called the constant of proportionality. The graph of the function relating two proportional quantities is always a straight line through the origin, represented by the equation y = mx.
Two figures are similar if they have the same shape, though different in size. Two conditions must be met for figures to be considered similar:
- The corresponding segments are proportional;
Preservation and Management of Clinical Records
Replacement Technologies
Currently, new technologies, such as digitization, are presented as a solution to avoid weeding microfilm when scanning documents. This attempts to solve file problems, especially space. However, keep in mind that the replacement of paper for other media (optical, magnetic, etc.) is only operational when applied to valuable documents. It is not applicable in the case of worthless documentation that will never be consulted.
If you want to perform a migration of these characteristics,
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