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A Finite-Horizon Approach To Active Level Set Estimation, Phillip Kearns, Bruno Jedynak, John Lipor Nov 2024

A Finite-Horizon Approach To Active Level Set Estimation, Phillip Kearns, Bruno Jedynak, John Lipor

Mathematics and Statistics Faculty Publications and Presentations

We consider the problem of active learning for level set estimation (LSE), where the goal is to localize all regions where a function of interest lies above/below a given threshold as quickly as possible. We present a finitehorizon search procedure to perform LSE in one dimension while optimally balancing both the final estimation error and the distance traveled during active learning for a fixed number of samples. A tuning parameter is used to trade off between the estimation accuracy and distance traveled. We show that the resulting optimization problem can be solved in closed form and that the resulting policy …


Variations Of Aquaculture Structures, Operations, And Maintenance With Increasing Ocean Energy, Kevin G. Heasman, Nicholas Scott, Tyler Sclodnick, Michael Chambers, Barry Costa-Pierce, Tobias Dewhurst, Wolf Isbert, Bela H. Buck Oct 2024

Variations Of Aquaculture Structures, Operations, And Maintenance With Increasing Ocean Energy, Kevin G. Heasman, Nicholas Scott, Tyler Sclodnick, Michael Chambers, Barry Costa-Pierce, Tobias Dewhurst, Wolf Isbert, Bela H. Buck

Faculty Publications

Aquaculture in exposed and/or distant ocean sites is an emerging industry and field of study that addresses the need to improve food security along with the challenges posed by expansion of urban and coastal stakeholders into nearshore and sheltered marine waters. This move necessitates innovative solutions for this industry to thrive in high-energy environments. Some innovative research has increased understanding of the physics, hydrodynamics, and structural requirements enabling the development of appropriate systems. The blue mussel (Mytilus edulis), the New Zealand green shell or green lipped mussel (Perna canaliculus), and the Pacific Oyster (Magallana gigas), are the primary targets for …


Variations Of Aquaculture Structures, Operations, And Maintenance With Increasing Ocean Energy, Kevin G. Heasman, Nicholas Scott, Tyler Sclodnick, Michael Chambers, Barry Costa-Pierce, Tobias Dewhurst, Wolf Isbert, Bela H. Buck Oct 2024

Variations Of Aquaculture Structures, Operations, And Maintenance With Increasing Ocean Energy, Kevin G. Heasman, Nicholas Scott, Tyler Sclodnick, Michael Chambers, Barry Costa-Pierce, Tobias Dewhurst, Wolf Isbert, Bela H. Buck

Faculty Publications

Aquaculture in exposed and/or distant ocean sites is an emerging industry and field of study that addresses the need to improve food security along with the challenges posed by expansion of urban and coastal stakeholders into nearshore and sheltered marine waters. This move necessitates innovative solutions for this industry to thrive in high-energy environments. Some innovative research has increased understanding of the physics, hydrodynamics, and structural requirements enabling the development of appropriate systems. The blue mussel (Mytilus edulis), the New Zealand green shell or green lipped mussel (Perna canaliculus), and the Pacific Oyster (Magallana gigas), are the primary targets for …


The Attitudes, Perceptions, And Motivations Of Student-Athletes In Intermediate Algebra, Alexandra Green Oct 2024

The Attitudes, Perceptions, And Motivations Of Student-Athletes In Intermediate Algebra, Alexandra Green

USF Tampa Graduate Theses and Dissertations

This research delves into the attitudes, perceptions, and motivations of student-athletes enrolled in Intermediate Algebra courses. It focuses on the distinct challenges they encounter in juggling academic and athletic responsibilities at a southeastern university in the United States. Employing a mixed-methods approach, the study gathered quantitative data through surveys to assess students' attitudes, perceptions, and motivations toward learning mathematics, as well as to determine the influence of their instructors on these factors. The qualitative segment provided deeper insights into their personal experiences, shedding light on their prior encounters with mathematics, their most memorable moments during the current course, and their …


A Phenomenological Study Of Persistence For Black Women In Mathematics Doctoral Programs, Shushannah Marie Smith Oct 2024

A Phenomenological Study Of Persistence For Black Women In Mathematics Doctoral Programs, Shushannah Marie Smith

Doctoral Dissertations and Projects

The purpose of this phenomenological study was to describe the doctoral persistence experiences of Black women mathematicians. Guided by McGee’s fragile and robust mathematical identity framework, the research design followed Moustakas’ qualitative transcendental phenomenological approach. The researcher explored the contributing factors to the phenomenon guided by the central research question, “What are the doctoral persistence experiences of Black women mathematicians?” The study involved 11 Black women participants who hold or were within one year of holding a doctoral degree in mathematics and were selected to ensure diversity and representativeness. Data collection encompassed three methods: a mathematical identity development timeline, one-on-one …


Finite Sum Of Integral Operators From The Fractional Cauchy Spaces To Bloch-Type And Zygmund-Type Spaces, Rita A. Hibschweiler, Ajay K. Sharma Oct 2024

Finite Sum Of Integral Operators From The Fractional Cauchy Spaces To Bloch-Type And Zygmund-Type Spaces, Rita A. Hibschweiler, Ajay K. Sharma

Faculty Publications

The family of fractional Cauchy transforms, defined on the open unit disc in the complex plane, is of classical and modern interest. Membership of an analytic function in the family is determined by the requirement that the function can be expressed as an integral of a certain kernel against a complex Borel measure on the disc. Such an integral representation imposes a growth condition on the function and its derivatives. This exposes a connection between the families of Cauchy transforms and familiar spaces of analytic functions, such as the Bloch spaces and the Zygmund space. The notion of a composition …


Finite Sum Of Integral Operators From The Fractional Cauchy Spaces To Bloch-Type And Zygmund-Type Spaces, Rita A. Hibschweiler, Ajay K. Sharma Oct 2024

Finite Sum Of Integral Operators From The Fractional Cauchy Spaces To Bloch-Type And Zygmund-Type Spaces, Rita A. Hibschweiler, Ajay K. Sharma

Faculty Publications

The family of fractional Cauchy transforms, defined on the open unit disc in the complex plane, is of classical and modern interest. Membership of an analytic function in the family is determined by the requirement that the function can be expressed as an integral of a certain kernel against a complex Borel measure on the disc. Such an integral representation imposes a growth condition on the function and its derivatives. This exposes a connection between the families of Cauchy transforms and familiar spaces of analytic functions, such as the Bloch spaces and the Zygmund space. The notion of a composition …


Diverse Disconnectedness: Homophily, Social Capital Inequality, And Student Experiences In Law School, Anthony Paik, Swethaa Ballakrishnen, Carole Silver, Steven Boutcher, Tanya Rouleau Whitworth Oct 2024

Diverse Disconnectedness: Homophily, Social Capital Inequality, And Student Experiences In Law School, Anthony Paik, Swethaa Ballakrishnen, Carole Silver, Steven Boutcher, Tanya Rouleau Whitworth

Faculty Publications

Law school students are encouraged frequently to “network.” However, depending on demographic categories, they may have access to differently resourced social networks in law school. In this article, we draw from our mixed-methods research to explore this diversity of experience, its limitations of access, and the possible network inequalities that may limit the value of legal education to diverse students across different institutional contexts. Using survey and network data (N = 744), collected during the fall of 2019 from three law schools, as well as supplementary interview data (N = 55), we examined students’ social networks, the structures of these …


Diverse Disconnectedness: Homophily, Social Capital Inequality, And Student Experiences In Law School, Anthony Paik, Swethaa Ballakrishnen, Carole Silver, Steven Boutcher, Tanya Rouleau Whitworth Oct 2024

Diverse Disconnectedness: Homophily, Social Capital Inequality, And Student Experiences In Law School, Anthony Paik, Swethaa Ballakrishnen, Carole Silver, Steven Boutcher, Tanya Rouleau Whitworth

Faculty Publications

Law school students are encouraged frequently to “network.” However, depending on demographic categories, they may have access to differently resourced social networks in law school. In this article, we draw from our mixed-methods research to explore this diversity of experience, its limitations of access, and the possible network inequalities that may limit the value of legal education to diverse students across different institutional contexts. Using survey and network data (N = 744), collected during the fall of 2019 from three law schools, as well as supplementary interview data (N = 55), we examined students’ social networks, the structures of these …


Exploring The Roles Of Genetics, Gender, Nurturing, And Learning Methods In Mathematical Skills Development, Laura Alinani, Jana Shyti Oct 2024

Exploring The Roles Of Genetics, Gender, Nurturing, And Learning Methods In Mathematical Skills Development, Laura Alinani, Jana Shyti

Honors Projects

This research explores the multifaceted factors influencing the development of mathematical competence through a combination of cognitive, psychological, and sociocultural frameworks. The study aims to address how genetic predispositions, nurturing environments, teaching methods, and societal influences interact to shape mathematical abilities. Using insights from genetic research, cognitive psychology, and education theory, we analyze the role of effective teaching methods, such as active knowledge construction and differentiated instruction, in fostering mathematical skills. The study also examines how societal biases, particularly gender stereotypes, impact students' confidence and interest in math. The findings highlight the importance of promoting gender-inclusive practices and early exposure …


Mathematics In Contemporary Society, Patrick J. Wallach Oct 2024

Mathematics In Contemporary Society, Patrick J. Wallach

Open Educational Resources

Mathematics in Contemporary Society is the textbook that corresponds to MA-321, the course of the same name. The course is designed to provide students with mathematical ideas and methods found in the social sciences, the arts, and in business. Topics will include fundamentals of statistics, scatterplots, graphics in the media, problem solving strategies, dimensional analysis, mathematics in music and art, and mathematical modeling. EXCEL is used to explore real world applications.


Supporting Secondary Math Students In Developing A Positive Math Identity, Sarah Reisdorf Berger Oct 2024

Supporting Secondary Math Students In Developing A Positive Math Identity, Sarah Reisdorf Berger

School of Education and Leadership Student Capstone Projects

It is not uncommon for students (and adults) to experience anxiety when it comes to math class. The underlying notion that mathematics is simply not meant for some while being meant for others permeates the culture in the United States. For students, the development of their math identities begins at an early age and is heavily influenced by their experiences in school, specifically the math classroom. With so much at stake in terms of identity development, achievement, and future success, this capstone project sought to explore the question: How can students be actively supported in building a positive math identity …


Closing The Socioeconomic Achievement Gap, Mallory Mcdermott Oct 2024

Closing The Socioeconomic Achievement Gap, Mallory Mcdermott

Master's Theses & Capstone Projects

The purpose of this research study was to investigate why the achievement gap exists in order to find ways to best serve the students who fall into it. Students from low socioeconomic backgrounds are showing disparities in academic achievement in areas of grades, standardized testing scores, and dropout rates. The researcher conducted a quantitative study to determine the effectiveness of a supplemental intervention on student’s mathematical understanding. The research was conducted within a fifth grade classroom at Midland Elementary. Data was collected from a pre-test and the i-Ready diagnostic screener to determine what skills the participants needed improve in. The …


Impact Of A Mathematics Review On Students' Chemistry Self-Efficacy And Problem-Solving Skills In An Undergraduate Chemistry Course, Antoinette Marie Gayle Oct 2024

Impact Of A Mathematics Review On Students' Chemistry Self-Efficacy And Problem-Solving Skills In An Undergraduate Chemistry Course, Antoinette Marie Gayle

Theses and Dissertations

Mathematics is an integral part of chemistry courses, and the application of arithmetic and algebraic knowledge is important for solving calculation-based problems in undergraduate general chemistry. Students begin undergraduate chemistry with varying levels of mathematics skills and experience which may impact their ability to solve problems and understand the content in chemistry courses. Utilizing a convergent mixed methodology, this action research study evaluated the impact of an in-class mathematics review intervention on students’ chemistry self-efficacy and problem-solving abilities in general chemistry. Mathematics review sessions were conducted in undergraduate general chemistry classes with 40 first-year students at a small university college …


Teacher Observations On The Success Of Hard-Of-Hearing Students In The Middle School Mathematics Classroom: A Case Study, Hannah Abbott Mcpherson Sep 2024

Teacher Observations On The Success Of Hard-Of-Hearing Students In The Middle School Mathematics Classroom: A Case Study, Hannah Abbott Mcpherson

Doctoral Dissertations and Projects

The purpose of this case study was to describe how deficits in foundational language among hard-of-hearing students influence mathematics instruction for general education middle school classroom teachers working to educate this student population in the South. The theory guiding this study was Paivio’s theory on dual coding, as it supports learning the necessary concepts needed to perform successfully in mathematics. The central research question for this study was: What are the experiences of middle school mathematics teachers working with hard-of-hearing students? Methodology defined as a descriptive case study included individual interviews, a focus group, and journal prompts to collect data …


Ideals In Semigroups Of Partial Transformations With Invariant Set, Jitsupa Srisawat, Yanisa Chaiya Sep 2024

Ideals In Semigroups Of Partial Transformations With Invariant Set, Jitsupa Srisawat, Yanisa Chaiya

Turkish Journal of Mathematics

This paper explores the ideals and their structural properties in two generalizations of the partial transformationsemigroup. Furthermore, principal, maximal, and minimal ideals within these semigroups are elucidated.


Math 309-101: Math Analysis For Tech, J.H. Ro Sep 2024

Math 309-101: Math Analysis For Tech, J.H. Ro

Mathematical Sciences Syllabi

No abstract provided.


Math 340-001: Applied Numerical Methods, B. Bukiet Sep 2024

Math 340-001: Applied Numerical Methods, B. Bukiet

Mathematical Sciences Syllabi

No abstract provided.


Math 333: Probability & Statistics, Mathematical Science Department Sep 2024

Math 333: Probability & Statistics, Mathematical Science Department

Mathematical Sciences Syllabi

No abstract provided.


Math 135-001: Calculus For Business, C. Kim Sep 2024

Math 135-001: Calculus For Business, C. Kim

Mathematical Sciences Syllabi

No abstract provided.


Math 279-007: Stats & Probabilty For Engr, F. Jamedar Sep 2024

Math 279-007: Stats & Probabilty For Engr, F. Jamedar

Mathematical Sciences Syllabi

No abstract provided.


Math 244-001: Intro To Provababilty Theory, S. Subramanian Sep 2024

Math 244-001: Intro To Provababilty Theory, S. Subramanian

Mathematical Sciences Syllabi

No abstract provided.


Math 279-103: Stats & Probabilty For Engr, F. Jamedar Sep 2024

Math 279-103: Stats & Probabilty For Engr, F. Jamedar

Mathematical Sciences Syllabi

No abstract provided.


Math 138-101: General Calculus I, M. Hercules-Menjivar Sep 2024

Math 138-101: General Calculus I, M. Hercules-Menjivar

Mathematical Sciences Syllabi

No abstract provided.


Math 661-851: Applied Statistics, A. Pole Sep 2024

Math 661-851: Applied Statistics, A. Pole

Mathematical Sciences Syllabi

No abstract provided.


Math 305-101: Statistics-Technology, D. Schmidt Sep 2024

Math 305-101: Statistics-Technology, D. Schmidt

Mathematical Sciences Syllabi

No abstract provided.


Math 545-001: Intro Math Analysis, D. Shirokoff Sep 2024

Math 545-001: Intro Math Analysis, D. Shirokoff

Mathematical Sciences Syllabi

No abstract provided.


Math 222: Differential Equations, Mathematical Science Department Sep 2024

Math 222: Differential Equations, Mathematical Science Department

Mathematical Sciences Syllabi

No abstract provided.


Math 391-001: Numerical Linera Algebra, M. Siegel Sep 2024

Math 391-001: Numerical Linera Algebra, M. Siegel

Mathematical Sciences Syllabi

No abstract provided.


Math 322-101: Diff Eqns For Tech, B. Patiak Sep 2024

Math 322-101: Diff Eqns For Tech, B. Patiak

Mathematical Sciences Syllabi

No abstract provided.