Mathematics Senior Theses

Every Carthage student is required to submit a senior thesis or capstone project to demonstrate their mastery of their chosen area of study. Here is a look at the projects Carthage math majors have created for this requirement.

• “Almost Birthday Problem”
• “The Knight’s Tour on a Cylinder”
• “How Long Is a Game of Snakes and Ladders?”
• “Is an Erratic Golfer or Consistent Golfer More Successful in Match- Play?”
• “Analyzing College Rankings with the Least Squares Solution”
• “Completing the Paradox Rift”  “A Spiral Investigation: Can These Irrational Angles Rival the Golden Ratio for Seed Optimization?”
• “Analysis of Possessions for Carthage Soccer”
• “A Statistical Analysis of Babe Ruth: The Best Hitter in MLB History”
• “A Network Analysis of the NBA: Determining the Value of a Rebound”
• “Choking in Golf”
• “Unveiling the Odds: A Comprehensive Analysis of the Winning Hands in 5-Card Stud”
• “A Study of National Football League Overtime using Markov Chains”
• “Sum Sets for the Basel Problem”