Select variations on mathematical models of cyclic circadian learning

Date of Publication


Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with specialization in Business Applications

Subject Categories

Physical Sciences and Mathematics


College of Science


Mathematics and Statistics Department


In a study done by Simon & Bulko, they have formulated models of learning with exponential, power-law, and combined power-exponential types of forgetting. This paper aims to expand the original models done by Simon & Bulko, more speci cally those with exponential and power-law types of forgetting. In the modi cation stu- dents learning at a not necessarily constant rate was taken into account. We created models that assume the rate of learning is linear and exponential. Although the assumption that the rate of learning is constant has been withdrawn from the modified models of learning, it is still assumed that the process of learning is a voluntary task, and is done without making logical bonds (i.e. using mnemonic devices to help the process of learning). As a result, we have obtained complex models of learning and forgetting. A discussion on the behavior of parameters that de ne the model is given. Furthermore, arbitrary values will be assumed for these parameters in order to observe their behavior. Although the modi ed models are no longer simple, they can still be utilized to obtain the available volume of information after a period of learning, as well as the amount of time required for a student to learn a given volume of information, and the real capacity of a student.

Abstract Format






Accession Number


Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

This document is currently not available here.