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Instructions

Student presentations must have a faculty sponsor.

Abstracts must include a title and a description of the research, scholarship, or creative work. The description should be 150-225 words in length and constructed in a format or style appropriate for the presenter’s discipline.

The following points should be addressed within the selected format or style for the abstract:

  • A clear statement of the problem or question you pursued, or the scholarly goal or creative theme achieved in your work.
  • A brief comment about the significance or uniqueness of the work.
  • A clear description of the methods used to achieve the purpose or goals for the work.
  • A statement of the conclusions, results, outcomes, or recommendations, or if the work is still in progress, the results you expect to report at the event.

Presenter photographs should be head and shoulder shots comparable to passport photos.

Additional Information

More information is available at carthage.edu/celebration-scholars/. The following are members of the Research, Scholarship, and Creativity Committee who are eager to listen to ideas and answer questions:

  • Jun Wang
  • Kim Instenes
  • John Kirk
  • Nora Nickels
  • Andrew Pustina
  • James Ripley

Mathematical Models of Conventional Warfare

Name: Tod Schulter
Major: Mathematics and Physics
Hometown: Sterling, IL
Faculty Sponsor: Haley Yaple
Other Sponsors:  
Type of research: Senior thesis

Abstract

Modern conventional warfare consists of multiple forms of battle that can be mathematically modeled using differential equations. One such basic and widely analyzed system of differential equations is the Lanchester Model. In this study we define multiple general cases of the basic Lanchester Model and explore a specific example of each highlighted case. Through computation and numerical integration we then obtain solutions for each of these cases and generate plots and tables to visualize and demonstrate these results. From this information, we lastly draw certain practical conclusions about the specific Lanchester Models in this report and within what criteria they would best be employed both by strategists and on the battlefield.

Poster file

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