Digital Commons Network^™

M 115.00: Probability And Linear Mathematics, Richard A. Darnell

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 122.02: College Trigonometry, J. Michael Sulock

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 121.02: College Algebra, Tadeusz Wojcik

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 171.01: Calculus I, Kyle Nemeth

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 133.02: Geometry And Measurement For Elementary School Teachers, Richard A. Darnell

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 210.01: Introduction To Mathematical Software, Leonid Kalachev

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 172.01: Calculus Ii, Esmaeil Parsa

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 326.01: Number Theory, Kelly L. Mckinnie

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 429.01: History Of Mathematics, Bharath Sriraman

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 273.01: Multivariable Calculus, Eric B. Chesboro

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 562.01: Advanced Theoretical Big Data Analytics, Javier Perez-Alvaro

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 162.50: Applied Calculus, Richard A. Darnell

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 473.01: Introduction To Real Analysis, Elizabeth A. Gillaspy

University of Montana Course Syllabi, 2026-2030

No abstract provided.

Stat 452.01: Statistical Methods Ii, Jonathan M. Graham

University of Montana Course Syllabi, 2026-2030

No abstract provided.

Stat 458.01: Computer Data Analysis I, Jonathan M. Graham

University of Montana Course Syllabi, 2026-2030

No abstract provided.

Stat 216.00: Introduction To Statistics, Jakob B. Oetinger

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 105.51: Contemporary Mathematics With Co-Requisite Support - Online, Bergen J. Dolan

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 105.02: Contemporary Mathematics W/ Co-Requisite Support, Bergen J. Dolan, Ryan P. Wood

University of Montana Course Syllabi, 2026-2030

No abstract provided.

M 115.H51: Probability And Linear Mathematics With Co-Requisite Support / Hamilton, Jaime C. Middleton

University of Montana Course Syllabi, 2026-2030

No abstract provided.

Ahst 154.50: Surgical Pharmacology, Mary B. Mchugh

University of Montana Course Syllabi, 2026-2030

No abstract provided.

Using Herbarium Specimens To Morphologically Delineate Three Western Phlox Species, Jack David Hager, Meredith Zettlemoyer

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Western Phlox are incredibly diverse, found in a variety of habitats spanning lowland meadows to high alpine tundra. The genus contains around 65 unique species, often with overlapping trait variation that makes morphological and taxonomic delineation difficult. Phlox missoulensis, a cushion-forming species endemic to the Missoula Valley, inhabits lower-elevation, windy, arid ridgelines that mimic alpine conditions. Two nearby congeners, Phlox kelseyi and Phlox pulvinata, occupy partially overlapping ecological niches: P. kelseyi is found in wet meadows at similar elevations to P. missoulensis, while P. pulvinata is found in higher elevation environments. P. missoulensis exhibits morphological characteristics that are intermediate between …

Farey Recursion In Australia And New Zealand, Eric B. Chesebro

University Grant Program Reports

No abstract provided.

Á’Po’Taki Iiyika’Kimaa Work/Try Hard For Such A Time As This, Misamsai’Piaakíí Longtime Charging Woman Kimberly Lynn Paul

Graduate Student Theses, Dissertations, & Professional Papers

This body of work adds to a recent shift in the academic landscape, valuing interdisciplinary research and Indigenous worldview. Predominant is the reversal of extractive research norms within Indigenous populations and the biosystems they steward, instead claiming Piikani (Blackfeet) led community-needs-based research valuing Indigenous data sovereignty, research methodologies, ethics, equity, and Indigenous empowerment. This research proffers requisite historical information providing the ‘why’ context, followed by three of the author’s studies: in toxic dumping, food sovereignty, and Piikani well-being. Under an environmental justice framework, the first study presents a cursory investigation of decades-long illicit toxic waste disposal reports linked to observed …

Evolutionary Genetics Of Wolbachia Density Variation And Effects On Host Fitness, John Paul Statz

Graduate Student Theses, Dissertations, & Professional Papers

Symbiotic interactions are widespread across the tree of life, and many insects associate with vertically transmitted intracellular bacteria whose fitness is tied to host reproduction. Because these endosymbionts transmit through the maternal line, selection often favors traits that increase the production and success of transmitting females. Over time, endosymbionts can evolve functions such as nutrient provisioning, defense against predators and pathogens, and contributions to environmental stress tolerance, thereby shaping host ecology and evolution. Yet these effects depend critically on the abundance and localization of endosymbionts within host tissues. This dissertation examines these processes in Wolbachia, the most common known animal …

Spatiotemporal Dynamics Of Mountain Front Recharge Flow Paths And Their Contribution To Alluvial Aquifer Water Supply, Mikaela Bollag-Miller

Graduate Student Theses, Dissertations, & Professional Papers

Mountain Front Recharge (MFR) is a critical recharge source for alluvial basin aquifers throughout the Intermountain West, yet the spatial and temporal dynamics of distinct recharge pathways remain poorly constrained. This study investigates the seasonal and spatial dynamics of MFR pathways and evaluates their impact on the Missoula Aquifer, a sole-source alluvial aquifer in western Montana, USA. MFR includes both surface-water inflows from mountain areas and Mountain Block Recharge (MBR), the groundwater contribution to the basin aquifer. A valley-scale water balance was employed to estimate first-order contributions and temporal fluctuations of MBR flow paths. A three-layer steady-state MODFLOW groundwater model …

How Do Individual And Environmental Covariates Impact The Immune Response Of Deer Mice In Western Montana?, Rachel A. Throckmorton, Angela Luis

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Sin Nombre Virus (SNV) is an exceptional model system for studying wildlife disease because of how simple it is to capture, take samples, and obtain disease status from the primary host. Immune response is an important factor to consider when testing for SNV because it can affect susceptibility of the host as well as transmission of the virus. We examined individual and environmental conditions that may predict immune response and therefore possibly SNV transmission in wild populations. We investigated whether SNV infection status, reproductive status, sex, and season correlate with immune response through examining total white blood cell (WBC) counts …

Algebraic Properties Of Farey Recursive Functions, Junwei Liao

Graduate Student Theses, Dissertations, & Professional Papers

The Stern-Brocot diagram is the graph whose vertices are the points (p/q, 1/q) where q > 0 and gcd(p, q) = 1, together with a point at infinity denoted by 1/0. Two vertices p/q and r/s are connected by an edge exactly when |ps - qr| = 1. A Farey recursive function assigns values in a commutative ring to these vertices so that, along any line formed by edges in the diagram, the values satisfy a second-order linear recurrence. Although these functions arise naturally in hyperbolic geometry, 2-bridge links, and Dehn filling constructions, …

Ghostly Grieving In Theatre’S Now Also The Dramaturgy Of Perception And The Body In Contemporary American Ghost Plays, Jacob Mann Christiansen

Graduate Student Theses, Dissertations, & Professional Papers

“Ghostly Grieving in Theatre’s Now Also” explores how contemporary American plays and playwrights stage the dead as a way of understanding theatre’s unique language for dealing with the shared, complex human experience of grief. Focusing on theatrical ghosts and other “impossible” presences, I articulate how these figures function as dramaturgical devices. I also argue that theatre’s ghosts “set the stage” (as it were) for communicable meaning-making by inviting audiences into the tasks of creation and mourning.

My work draws on performance theory (especially phenomenological accounts of theatrical storytelling), on dramaturgical analysis, and on grief studies. In this dissertation project, I …

The Forensic Implications Of Hydrochloric Acid (Hcl) Exposure On Dna Preservation In Human Teeth, Shaelyn Lee Zimmerman

Graduate Student Theses, Dissertations, & Professional Papers

Identity is a human right, and forensic anthropological methods are often aimed at returning identity to decedents. Three main pathways are used for the identification of human remains: fingerprints, dental records, and DNA analysis. Identification efforts may be hindered when perpetrators attempt to obscure the victim’s identity. In cases where corrosive substances, such as hydrochloric acid (HCl) are used, dental comparison and fingerprinting often fail and genetic analysis becomes the best chance of achieving personal identification.

Previous studies have shown teeth are an excellent source of DNA. Large, multi-rooted teeth, such as molars, are often preferred because they contain the …

Searching For Nooks And Crannies: Geometric And Mechanistic Perspectives On Transformer Language Model Interpretability, Anna Marbut

Graduate Student Theses, Dissertations, & Professional Papers

Large language models (LLMs) have demonstrated remarkable linguistic capabilities, but the internal mechanisms driving their performance and behavior remain poorly understood. This dissertation investigates the interpretability of transformer-based language models from two complementary perspectives: the geometric organization of model internals in encoder-only models, and the mechanisms underlying safety behavior in decoder-only generative models.

In Part I, we address the challenge of measuring geometric properties in high-dimensional latent spaces, proposing and evaluating alternative measures of data spread that improve upon commonly used metrics. We then apply these measures alongside quantization-based metrics to examine the relationship between latent space geometry and downstream …