Physical Sciences and Mathematics Commons^™

Gödel’S Incompleteness Theorem, Emma Buntrock

Essential Studies UNDergraduate Showcase

In 1931 Gödel released his Incompleteness Theorem. His theorem was the opposite of what other mathematicians at the time wanted, but it was very influential to realize there is no perfectly complete formal systems. The incompleteness theorem is based of the idea that in a consistent system there are pieces that can not be proved or disproved, causing for incompleteness. The second part of that idea is that such a system can not prove that itself is consistent, which also makes it incomplete. I will verify theses proofs using a series of logic problems that show how a system is …

Improving The Problem With Problem Solving, Cole Thibert

Essential Studies UNDergraduate Showcase

As a prospective math educator who will be teaching in the near future, I was concerned with the idea of preparing my future students for college math courses. I decided to research the effects of teaching students how to appropriately use problem solving strategies in math. My research led me towards looking at the benefits of students becoming better problem solvers and how teachers can implement problem solving into their daily lessons.

When this implementation is successful, students can become more independent with their learning, they are able to work and persevere through challenging problems, and they have a greater …

The Most Important Statistics In Football, Jacob Holmen

Essential Studies UNDergraduate Showcase

This research is based on the Five Factors that were devised by Bill Connelly of SBNation. The Five Factors of football include Explosiveness, Efficiency, Field Position, Finishing Drives, and Turnovers. Each factor is composed of associated statistics that when put together make up the most important statistics in football. This research includes the analysis of all 857 FBS (the highest level of NCAA Division I football) games from the 2016 season. Data was analyzed through the use of an Excel spreadsheet. Five different statistics were looked at, each associated with one of the Five Factors. The statistics include Yards per …

Analytics And Baseball's New Generation, John Roche

Essential Studies UNDergraduate Showcase

Major League Baseball has been a catalyst for making decisions in sports and competition from a purely mathematical viewpoint. We have seen teams utilize unique on-field player alignments and roster-building strategies based on statistical observations and applications of math. This project examines the advantages Sabermetrics and analytics present within the sport. Untapped statistical categories that could further the success of teams in the future is also briefly discussed.

Bell Creek Project – Enhanced Oil Recovery Resulting In Associated Co2 Storage, University Of North Dakota. Energy And Environmental Research Center

EERC Brochures and Fact Sheets

Fact sheet about the Plains CO₂ Reduction (PCOR) Partnership research into associated CO₂ storage incidental to a commercial enhanced oil recovery (EOR) operation. The project also seeks to develop cost-effective monitoring, verification, and accounting (MVA) techniques to monitor EOR and associated CO₂ storage.

North Dakota Carbonsafe - A Feasibility Study, University Of North Dakota. Energy And Environmental Research Center

EERC Brochures and Fact Sheets

Fact sheet about the Carbon Storage Assurance Facility Enterprise (CarbonSAFE) project, which offers clean, safe, and affordable energy throughout North Dakota. Includes information on carbon capture, including geological storage, and the U.S. Department of Energy’s (DOE’s) involvement.

Extraction Of Oil From The Bakken Shales With Supercritical Co2, Lu Jin, Steven B. Hawthorne, James A. Sorensen, Bethany A. Kurz, Steven A. Smith, Loreal V. Heebink, Nicholas W. Bosshart, José A. Torres, Chantsalmaa Dalkhaa, Charles D. Gorecki, Edward N. Steadman, John A. Harju

EERC Publications

Results from 20 samples showed that supercritical CO₂ enables extraction of a considerable portion (15%–65%) of the hydrocarbons from the Bakken shales within 24 hours. The results may be used to improve modeling and forecasting the effects of CO₂ enhanced oil recovery (EOR) and suggest the possibility for increasing ultimate recovery, and possibly CO₂ storage, in some areas of the Bakken Formation.

Apex Calculus: Und Edition, Gregory Hartman, Department Of Mathematics, University Of North Dakota

Open Educational Resources

This text comprises a three–volume series on Calculus. The first part covers material taught in many “Calculus 1” courses: limits, derivatives, and the basics of integration, found in Chapters 1 through 6. The second text covers material often taught in “Calculus 2”: integration and its applications, along with an introduction to sequences, series and Taylor Polynomials, found in Chapters 7 through 10. The third text covers topics common in “Calculus 3” or “Multivariable Calculus”: parametric equations, polar coordinates, vector–valued functions, and functions of more than one variable, found in Chapters 11 through 15. All three are available separately for free. …

Terrestrial Carbon Sequestration Validation Test, University Of North Dakota. Energy And Environmental Research Center

EERC Brochures and Fact Sheets

Fact sheet about the Plains CO₂ Reduction (PCOR) Partnership project to develop land use management practices for the Prairie Pothole Region (PPR) that could reduce greenhouses gases (GHGs) as well as instituting a protocol for verifying and monetizing grassland carbon credits. Includes information on carbon sequestration and carbon offsets.