Tag: MATH

Jackson Findlay

Game Theory, Economics and Tennis

This presentation provides an overview of game theory, an influential branch of mathematical economics that studies strategic interactions and decision making.  I introduce some basic tools used by game theorists, including strict and weak dominance and iterated deletion procedures, and discuss applications ranging from auction theory to sports. 

MATH 499, Senior Capstone

Connie Wilmarth

P003

1:30 – 2 PM

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Mackenzie Hunton

Gamification in the Math Classroom

A recent trend in K-12 education is gamification, or the use of games to motivate learning in the math classroom. This presentation surveys some practices and the current research into their effectiveness as a teaching tool.

MATH 499, Senior Capstone

Connie Wilmarth

P003

2 – 2:30 PM

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Andrew Lindley

Bushnell Cafeteria Offerings Survey and Analysis

This study seeks to improve the Bushnell dining experience by utilizing statistical methods. Using data gathered by a specific survey process, this project will uncover what meals students like, what meals students don’t like, and what can be done to better the cafeteria in light of these discoveries. The data collection design, data visualization, and statistical methods used in determining results will all be presented and explained. The end goal is an unbiased and accurate study that equips our staff to provide the best possible dining experience at Bushnell.

MATH499- Senior Capstone

Dr. Connie Wilmarth

10:30am – P003

Jackson Findlay and Liam Kerr

The Collatz Conjecture Reformulated and Shown Through Python code

Explanation of what the collate conjecture is and its long history. We will then take a different angle towards looking for progress on this unsolved math problem, through identifying patterns and elements we noticed when looking at alternative versions of the conjecture.

MATH407- Python and Data Structures

Dr. MTip Phaovibul

2:30pm – L204

Nicolas Cazares

Modern Approaches to Spinal Cord Repair

Spinal cords are one of the most sensitive parts of the human body and damage to them can massively hinder one’s quality of life. This presentation will go over medical research of spinal cord repair. The first section is an overview of what the spinal cord is including, cellular make-up, biological function, and detailed anatomy. The second section of this presentation will discuss the history of research within this field dating back to the 1960s. Following this I will look at modern approaches to spinal cord repair and discuss the pros and cons of each method.

MATH 499

Brian Carrigan

P103

1 – 1:30 PM

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Payton Martin

Portfolio Management

In this presentation, we will explore vital concepts that are the building blocks of quantitative portfolio management. We will discuss the mathematical expression of expected return and risk on an investment and how they are used. We will examine weights within a portfolio and how risk is minimized while compromising as little as possible on expected return. Building blocks of the several-security model will direct us towards multiple interesting insights as well as lay the foundation for the beta factor and the Capital Asset Pricing Model (CAPM).

MATH 499, Senior Capstone

Connie Wilmarth

L203

10:30 – 11 AM

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Kevin Kaelin

Alternative Power Sources: Electrifying Commercial Aircraft 

In a world with an ever-increasing demand for transportation, solutions are needed to limit the amount of pollution generated by vehicles.  One solution for limiting emissions from vehicles is to make them electric.  This research seeks to answer this question: is an electrically powered jet engine feasible for commercial aircraft?  This project takes a standard CFM56-7B24 turbofan jet engine that powers a Boeing 737-800 plane and explores the conceptual use of electric motors to drive the fan and compressor assembly.  The overall weight of this concept is compared to the maximum operating weight of the Boeing 737-800.  The total amount of kilowatt-hours required is calculated as well as the total weight of batteries needed to satisfy the energy requirements of this concept.  Based on the findings of this research: current battery densities are too low to provide a weight-effective solution to petroleum-based jet fuel.   

MATH 499, Capstone 

Brian Carrigan 

P103 

2:30 – 3 PM 

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Scholar Lunch

Come to L203 at noon. If you’re one of the first to arrive, you can have free pizza. The meal’s entertainment consists of five minute talks by representatives from majors and minors across campus. Speakers will take a single idea they learned from their major or minor coursework, explain it, explain why it’s useful or beautiful, and explain why they personally love it. Scheduled speakers:

  • Ariana Henton, Music
  • Payton Martin, Math
  • Emily Morgan, Psychology
  • Gianna Rains, Communication
  • Madeleine Rosebrook, Spanish
  • Leah Sheets, Education

L203

Noon – 1 PM

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Joshua McCluskey

Applied Calculus in Medicine

Medicine utilizes calculus in many ways, through the use of derivatives we can optimize uses of material as well as calculate the effect of a surgery. angioplasty uses calculus to calculate the effect of widening an artery to increase blood flow. Calculus lets us know definitively to what extent the blood flow will increase. we can also use calculus in a crime scene. determining the time of death.

MATH 251, Calculus I

Connie Wilmarth

Banquet Room, Poster #8

10 AM – Noon

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Jonathan Messiers

A Bridge to Space: The Mechanics and Design Considerations for a Space Elevator

Achieving orbit is currently an extremely expensive and resource-heavy venture. Current rockets cost anywhere from $10,000 to $20,000 to lift a single kilogram of payload to low earth orbit. A space elevator may be able to lift a kilogram to orbit for as little as $200. A space elevator is a cable anchored at the equator that extends into space past geostationary orbit, using the centrifugal force of Earth’s rotation to hold itself upright under tension. Such a cable may be constructed using materials with extremely high strength-to-weight ratios. The overall design of a space elevator consists of the cable itself, a counterweight to suspend the cable via centrifugal force, climbers to deliver payload to and from orbit, and a base station anchoring the cable to the Earth somewhere along the equator. Craft released from the space elevator at a height of 53,000 kilometers would be at escape velocity, allowing them to reach other celestial bodies without the thousands of tons of fuel and stages conventional rockets require for the same velocity. Challenges faced include weather conditions within the atmosphere, the effects of solar radiation on the cable, collisions with orbital debris, cable oscillations, research and development costs, and political complications.

MATH 499, Capstone

Brian Carrigan

SPS 100

2:30 – 3 PM

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Scholar Lunch

Come to L203 at noon. If you’re one of the first to arrive, you can have free pizza. The meal’s entertainment consists of five minute talks by representatives from majors and minors across campus. Speakers will take a single idea they learned from their major or minor coursework, explain it, explain why it’s useful or beautiful, and explain why they personally love it. Scheduled speakers:

  • Angela Cusano, Spanish
  • Mitchell Davis, Bible & Ministry
  • Kristyn Dodge, History
  • Garrett Kraal, Exercise Science
  • Payton Martin, Mathematics
  • Kaleb Miles, Biology
  • Alaina Thomson, Psychology
  • McKenzie Wirth, Communication

L203

Noon – 1 PM

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Scholar Lunch

Come to L203 at noon. If you’re one of the first to arrive, you can have free pizza. The meal’s entertainment consists of five minute talks by representatives from majors and minors across campus. Speakers will take a single idea they learned from their major or minor coursework, explain it, explain why it’s useful or beautiful, and explain why they personally love it. Scheduled speakers:

  • Brady Box, Education
  • Haley Cochell, Psychology and Philosophy
  • Alleya Harris, Exercise Science
  • Josh Higashi, Communication
  • Zeph Hollins, Biology
  • Delia House-Lopez, Music
  • Marina Irish, Business
  • Gabrielle Morales, English
  • Rosa Schmidt, Math

L203

Noon – 1 PM.

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