master's thesis in mathematics

Ohio State nav bar

Ohio state navigation bar.

• BuckeyeLink
• Search Ohio State

Master Theses

Maqrm , mms-bio  (no longer offered), mms-cps  (no longer offered), mms-edu  (no longer offered).

• USF Research
• USF Libraries

Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations

Mathematics and Statistics Theses and Dissertations

Theses/dissertations from 2023 2023.

Classification of Finite Topological Quandles and Shelves via Posets , Hitakshi Lahrani

Applied Analysis for Learning Architectures , Himanshu Singh

Rational Functions of Degree Five That Permute the Projective Line Over a Finite Field , Christopher Sze

Theses/Dissertations from 2022 2022

New Developments in Statistical Optimal Designs for Physical and Computer Experiments , Damola M. Akinlana

Advances and Applications of Optimal Polynomial Approximants , Raymond Centner

Data-Driven Analytical Predictive Modeling for Pancreatic Cancer, Financial & Social Systems , Aditya Chakraborty

On Simultaneous Similarity of d-tuples of Commuting Square Matrices , Corey Connelly

Symbolic Computation of Lump Solutions to a Combined (2+1)-dimensional Nonlinear Evolution Equation , Jingwei He

Boundary behavior of analytic functions and Approximation Theory , Spyros Pasias

Stability Analysis of Delay-Driven Coupled Cantilevers Using the Lambert W-Function , Daniel Siebel-Cortopassi

A Functional Optimization Approach to Stochastic Process Sampling , Ryan Matthew Thurman

Theses/Dissertations from 2021 2021

Riemann-Hilbert Problems for Nonlocal Reverse-Time Nonlinear Second-order and Fourth-order AKNS Systems of Multiple Components and Exact Soliton Solutions , Alle Adjiri

Zeros of Harmonic Polynomials and Related Applications , Azizah Alrajhi

Combination of Time Series Analysis and Sentiment Analysis for Stock Market Forecasting , Hsiao-Chuan Chou

Uncertainty Quantification in Deep and Statistical Learning with applications in Bio-Medical Image Analysis , K. Ruwani M. Fernando

Data-Driven Analytical Modeling of Multiple Myeloma Cancer, U.S. Crop Production and Monitoring Process , Lohuwa Mamudu

Long-time Asymptotics for mKdV Type Reduced Equations of the AKNS Hierarchy in Weighted L 2 Sobolev Spaces , Fudong Wang

Online and Adjusted Human Activities Recognition with Statistical Learning , Yanjia Zhang

Theses/Dissertations from 2020 2020

Bayesian Reliability Analysis of The Power Law Process and Statistical Modeling of Computer and Network Vulnerabilities with Cybersecurity Application , Freeh N. Alenezi

Discrete Models and Algorithms for Analyzing DNA Rearrangements , Jasper Braun

Bayesian Reliability Analysis for Optical Media Using Accelerated Degradation Test Data , Kun Bu

On the p(x)-Laplace equation in Carnot groups , Robert D. Freeman

Clustering methods for gene expression data of Oxytricha trifallax , Kyle Houfek

Gradient Boosting for Survival Analysis with Applications in Oncology , Nam Phuong Nguyen

Global and Stochastic Dynamics of Diffusive Hindmarsh-Rose Equations in Neurodynamics , Chi Phan

Restricted Isometric Projections for Differentiable Manifolds and Applications , Vasile Pop

On Some Problems on Polynomial Interpolation in Several Variables , Brian Jon Tuesink

Numerical Study of Gap Distributions in Determinantal Point Process on Low Dimensional Spheres: L -Ensemble of O ( n ) Model Type for n = 2 and n = 3 , Xiankui Yang

Non-Associative Algebraic Structures in Knot Theory , Emanuele Zappala

Theses/Dissertations from 2019 2019

Field Quantization for Radiative Decay of Plasmons in Finite and Infinite Geometries , Maryam Bagherian

Probabilistic Modeling of Democracy, Corruption, Hemophilia A and Prediabetes Data , A. K. M. Raquibul Bashar

Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras , Amine Ben Abdeljelil

Fractional Random Weighted Bootstrapping for Classification on Imbalanced Data with Ensemble Decision Tree Methods , Sean Charles Carter

Hierarchical Self-Assembly and Substitution Rules , Daniel Alejandro Cruz

Statistical Learning of Biomedical Non-Stationary Signals and Quality of Life Modeling , Mahdi Goudarzi

Probabilistic and Statistical Prediction Models for Alzheimer’s Disease and Statistical Analysis of Global Warming , Maryam Ibrahim Habadi

Essays on Time Series and Machine Learning Techniques for Risk Management , Michael Kotarinos

The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact , Daviel Leyva

Reconstruction of Radar Images by Using Spherical Mean and Regular Radon Transforms , Ozan Pirbudak

Analyses of Unorthodox Overlapping Gene Segments in Oxytricha Trifallax , Shannon Stich

An Optimal Medium-Strength Regularity Algorithm for 3-uniform Hypergraphs , John Theado

Power Graphs of Quasigroups , DayVon L. Walker

Theses/Dissertations from 2018 2018

Groups Generated by Automata Arising from Transformations of the Boundaries of Rooted Trees , Elsayed Ahmed

Non-equilibrium Phase Transitions in Interacting Diffusions , Wael Al-Sawai

A Hybrid Dynamic Modeling of Time-to-event Processes and Applications , Emmanuel A. Appiah

Lump Solutions and Riemann-Hilbert Approach to Soliton Equations , Sumayah A. Batwa

Developing a Model to Predict Prevalence of Compulsive Behavior in Individuals with OCD , Lindsay D. Fields

Generalizations of Quandles and their cohomologies , Matthew J. Green

Hamiltonian structures and Riemann-Hilbert problems of integrable systems , Xiang Gu

Optimal Latin Hypercube Designs for Computer Experiments Based on Multiple Objectives , Ruizhe Hou

Human Activity Recognition Based on Transfer Learning , Jinyong Pang

Signal Detection of Adverse Drug Reaction using the Adverse Event Reporting System: Literature Review and Novel Methods , Minh H. Pham

Statistical Analysis and Modeling of Cyber Security and Health Sciences , Nawa Raj Pokhrel

Machine Learning Methods for Network Intrusion Detection and Intrusion Prevention Systems , Zheni Svetoslavova Stefanova

Orthogonal Polynomials With Respect to the Measure Supported Over the Whole Complex Plane , Meng Yang

Theses/Dissertations from 2017 2017

Modeling in Finance and Insurance With Levy-It'o Driven Dynamic Processes under Semi Markov-type Switching Regimes and Time Domains , Patrick Armand Assonken Tonfack

Prevalence of Typical Images in High School Geometry Textbooks , Megan N. Cannon

On Extending Hansel's Theorem to Hypergraphs , Gregory Sutton Churchill

Contributions to Quandle Theory: A Study of f-Quandles, Extensions, and Cohomology , Indu Rasika U. Churchill

Linear Extremal Problems in the Hardy Space H p for 0 p , Robert Christopher Connelly

Statistical Analysis and Modeling of Ovarian and Breast Cancer , Muditha V. Devamitta Perera

Statistical Analysis and Modeling of Stomach Cancer Data , Chao Gao

Structural Analysis of Poloidal and Toroidal Plasmons and Fields of Multilayer Nanorings , Kumar Vijay Garapati

Dynamics of Multicultural Social Networks , Kristina B. Hilton

Cybersecurity: Stochastic Analysis and Modelling of Vulnerabilities to Determine the Network Security and Attackers Behavior , Pubudu Kalpani Kaluarachchi

Generalized D-Kaup-Newell integrable systems and their integrable couplings and Darboux transformations , Morgan Ashley McAnally

Patterns in Words Related to DNA Rearrangements , Lukas Nabergall

Time Series Online Empirical Bayesian Kernel Density Segmentation: Applications in Real Time Activity Recognition Using Smartphone Accelerometer , Shuang Na

Schreier Graphs of Thompson's Group T , Allen Pennington

Cybersecurity: Probabilistic Behavior of Vulnerability and Life Cycle , Sasith Maduranga Rajasooriya

Bayesian Artificial Neural Networks in Health and Cybersecurity , Hansapani Sarasepa Rodrigo

Real-time Classification of Biomedical Signals, Parkinson’s Analytical Model , Abolfazl Saghafi

Lump, complexiton and algebro-geometric solutions to soliton equations , Yuan Zhou

Theses/Dissertations from 2016 2016

A Statistical Analysis of Hurricanes in the Atlantic Basin and Sinkholes in Florida , Joy Marie D'andrea

Statistical Analysis of a Risk Factor in Finance and Environmental Models for Belize , Sherlene Enriquez-Savery

Putnam's Inequality and Analytic Content in the Bergman Space , Matthew Fleeman

On the Number of Colors in Quandle Knot Colorings , Jeremy William Kerr

Statistical Modeling of Carbon Dioxide and Cluster Analysis of Time Dependent Information: Lag Target Time Series Clustering, Multi-Factor Time Series Clustering, and Multi-Level Time Series Clustering , Doo Young Kim

Some Results Concerning Permutation Polynomials over Finite Fields , Stephen Lappano

Hamiltonian Formulations and Symmetry Constraints of Soliton Hierarchies of (1+1)-Dimensional Nonlinear Evolution Equations , Solomon Manukure

Modeling and Survival Analysis of Breast Cancer: A Statistical, Artificial Neural Network, and Decision Tree Approach , Venkateswara Rao Mudunuru

Generalized Phase Retrieval: Isometries in Vector Spaces , Josiah Park

Leonard Systems and their Friends , Jonathan Spiewak

Resonant Solutions to (3+1)-dimensional Bilinear Differential Equations , Yue Sun

Statistical Analysis and Modeling Health Data: A Longitudinal Study , Bhikhari Prasad Tharu

Global Attractors and Random Attractors of Reaction-Diffusion Systems , Junyi Tu

Time Dependent Kernel Density Estimation: A New Parameter Estimation Algorithm, Applications in Time Series Classification and Clustering , Xing Wang

On Spectral Properties of Single Layer Potentials , Seyed Zoalroshd

Theses/Dissertations from 2015 2015

Analysis of Rheumatoid Arthritis Data using Logistic Regression and Penalized Approach , Wei Chen

Active Tile Self-assembly and Simulations of Computational Systems , Daria Karpenko

Nearest Neighbor Foreign Exchange Rate Forecasting with Mahalanobis Distance , Vindya Kumari Pathirana

Statistical Learning with Artificial Neural Network Applied to Health and Environmental Data , Taysseer Sharaf

Radial Versus Othogonal and Minimal Projections onto Hyperplanes in l_4^3 , Richard Alan Warner

Ensemble Learning Method on Machine Maintenance Data , Xiaochuang Zhao

Theses/Dissertations from 2014 2014

Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo

Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability , Jonathan Burns

On the Classification of Groups Generated by Automata with 4 States over a 2-Letter Alphabet , Louis Caponi

Statistical Analysis, Modeling, and Algorithms for Pharmaceutical and Cancer Systems , Bong-Jin Choi

Topological Data Analysis of Properties of Four-Regular Rigid Vertex Graphs , Grant Mcneil Conine

Trend Analysis and Modeling of Health and Environmental Data: Joinpoint and Functional Approach , Ram C. Kafle

Advanced Search

• Email Notifications and RSS
• All Collections
• USF Faculty Publications
• Open Access Journals
• Conferences and Events
• Theses and Dissertations
• Textbooks Collection

Useful Links

• Mathematics and Statistics Department
• Rights Information
• SelectedWorks
• Submit Research

Home | About | Help | My Account | Accessibility Statement | Language and Diversity Statements

Privacy Copyright

Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations

Mathematics Theses and Dissertations

Theses/dissertations from 2023 2023.

Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton

On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes

Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li

Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner

Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng

Theses/Dissertations from 2022 2022

Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings

The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha

Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay

Tangled up in Tanglegrams , Drew Joseph Scalzo

Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith

Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson

Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock

Theses/Dissertations from 2021 2021

Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington

Polynomials, Primes and the PTE Problem , Joseph C. Foster

Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat

A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara

Trimming Complexes , Keller VandeBogert

Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang

Theses/Dissertations from 2020 2020

An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea

Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice

Rationality Questions and the Derived Category , Alicia Lamarche

Counting Number Fields by Discriminant , Harsh Mehta

Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen

Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih

Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick

Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen

Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang

An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng

Theses/Dissertations from 2019 2019

Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood

On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark

A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar

Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes

Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell

Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin

Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu

An Implementation of the Kapustin-Li Formula , Jessica Otis

A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer

A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig

Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch

On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann

An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm

Dynamical Entropy of Quantum Random Walks , Duncan Wright

Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang

Theses/Dissertations from 2018 2018

Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed

Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai

Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran

Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman

A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna

Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard

Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson

Graph Homomorphisms and Vector Colorings , Michael Robert Levet

Local Rings and Golod Homomorphisms , Thomas Schnibben

States and the Numerical Range in the Regular Algebra , James Patrick Sweeney

Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao

Theses/Dissertations from 2017 2017

On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins

Subdivision of Measures of Squares , Dylan Bates

Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev

Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov

Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey

Nonequispaced Fast Fourier Transform , David Hughey

Deep Learning: An Exposition , Ryan Kingery

A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis

Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders

Theses/Dissertations from 2016 2016

On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein

Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu

Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky

On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich

Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short

Chebyshev Inversion of the Radon Transform , Jared Cameron Szi

Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang

Theses/Dissertations from 2015 2015

Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung

The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton

Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner

Avoiding Doubled Words in Strings of Symbols , Michael Lane

A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin

Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh

Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith

Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang

Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao

Theses/Dissertations from 2014 2014

The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard

Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn

Independence Polynomials , Gregory Matthew Ferrin

Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston

On the Group of Transvections of ADE-Diagrams , Marvin Jones

Fake Real Quadratic Orders , Richard Michael Oh

Theses/Dissertations from 2013 2013

Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown

Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole

Deducing Vertex Weights From Empirical Occupation Times , David Collins

Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler

Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove

Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy

Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington

The Weierstrass Approximation Theorem , LaRita Barnwell Hipp

The Compact Implicit Integration Factor Scheme For the Solution of Allen-Cahn Equations , Meshack K. Kiplagat

Applications of the Lopsided Lovász Local Lemma Regarding Hypergraphs , Austin Tyler Mohr

Study On Covolume-Upwind Finite Volume Approximations For Linear Parabolic Partial Differential Equations , Rosalia Tatano

Coloring Pythagorean Triples and a Problem Concerning Cyclotomic Polynomials , Daniel White

Theses/Dissertations from 2012 2012

A Computational Approach to the Quillen-Suslin Theorem, Buchsbaum-Eisenbud Matrices, and Generic Hilbert-Burch Matrices , Jonathan Brett Barwick

Mathematical Modeling and Computational Studies for Cell Signaling , Kanadpriya Basu

Advanced Search

• Notify me via email or RSS
• Collections
• Disciplines

Submissions

• Give us Feedback
• University Libraries

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

• DSpace@MIT Home
• MIT Libraries

This collection of MIT Theses in DSpace contains selected theses and dissertations from all MIT departments. Please note that this is NOT a complete collection of MIT theses. To search all MIT theses, use MIT Libraries' catalog .

MIT's DSpace contains more than 58,000 theses completed at MIT dating as far back as the mid 1800's. Theses in this collection have been scanned by the MIT Libraries or submitted in electronic format by thesis authors. Since 2004 all new Masters and Ph.D. theses are scanned and added to this collection after degrees are awarded.

MIT Theses are openly available to all readers. Please share how this access affects or benefits you. Your story matters.

If you have questions about MIT theses in DSpace, [email protected] . See also Access & Availability Questions or About MIT Theses in DSpace .

If you are a recent MIT graduate, your thesis will be added to DSpace within 3-6 months after your graduation date. Please email [email protected] with any questions.

Permissions

MIT Theses may be protected by copyright. Please refer to the MIT Libraries Permissions Policy for permission information. Note that the copyright holder for most MIT theses is identified on the title page of the thesis.

Theses by Department

• Comparative Media Studies
• Computation for Design and Optimization
• Computational and Systems Biology
• Department of Aeronautics and Astronautics
• Department of Architecture
• Department of Biological Engineering
• Department of Biology
• Department of Brain and Cognitive Sciences
• Department of Chemical Engineering
• Department of Chemistry
• Department of Civil and Environmental Engineering
• Department of Earth, Atmospheric, and Planetary Sciences
• Department of Economics
• Department of Electrical Engineering and Computer Sciences
• Department of Humanities
• Department of Linguistics and Philosophy
• Department of Materials Science and Engineering
• Department of Mathematics
• Department of Mechanical Engineering
• Department of Nuclear Science and Engineering
• Department of Ocean Engineering
• Department of Physics
• Department of Political Science
• Department of Urban Studies and Planning
• Engineering Systems Division
• Harvard-MIT Program of Health Sciences and Technology
• Institute for Data, Systems, and Society
• Media Arts & Sciences
• Operations Research Center
• Program in Real Estate Development
• Program in Writing and Humanistic Studies
• Science, Technology & Society
• Science Writing
• Sloan School of Management
• Supply Chain Management
• System Design & Management
• Technology and Policy Program

Collections in this community

Doctoral theses, graduate theses, undergraduate theses, recent submissions.

The properties of amorphous and microcrystalline Ni - Nb alloys. 

Towards Biologically Plausible Deep Neural Networks 

Randomized Data Structures: New Perspectives and Hidden Surprises 

Home > College of Science > Mathematics and Statistics > Master's Theses

Master’s Theses and Graduate Research

Theses/dissertations from 2021 2021.

Blue Red Hackenbush Spiders , Ravi Cho

Linear Inverse Problems and Neural Networks , Jasjeet Dhaliwal

Theses/Dissertations from 2020 2020

Determination of a Graph's Chromatic Number for Part Consolidation in Axiomatic Design , Jeffery Anthony Cavallaro

The Disk Complex and Topologically Minimal Surfaces , Luis Torres

Theses/Dissertations from 2019 2019

Preserving Ideals of Chemical Reaction Networks , Mark Curiel

Investigations and Analysis of Dynamical and Steady State Properties of Chemical Reaction Systems , Diego Ortega Hernandez

Theses/Dissertations from 2018 2018

A Numerical Study of the van Roosbroeck System for Semiconductors , Alan Ghazarians

Lenstra-Hurwitz Cliques In Real Quadratic Fields , Daniel S. Lopez

Theses/Dissertations from 2017 2017

A Method for Detection of Local Dimension in Point Cloud Data , Catherine Boersma

Knight's Tours and Zeta Functions , Alfred James Brown

Gauge Theory, Connections, and Holonomy: Background for the Ambrose-Singer Theorem , Joseph Fluegemann

The Geometry of Möbius Transformations and an Introduction to Riemann Surfaces , David Peter Goulette

A Boundary-Based Measure for Gerrymandering , Carson Sprock

Theses/Dissertations from 2016 2016

Drawing place field diagrams of neural codes using toric ideals , Nida K. Obatake

A Study on the Sparsity Property of the Jordan Canonical Form , MinhNhat Vu

Geometric Control Theory: Nonlinear Dynamics and Applications , Geoffrey A. Zoehfeld

Theses/Dissertations from 2015 2015

Preservation of Periodicity in Variational Integrators , Jian-Long Liu

Generic Polynomials , Lucas Spencer Mattick

Series and Their Applications to Boundary Value Problems , Jiayin Wang

Computation in a Localization of the Free Group Algebra , Olga Zamoruyeva

Theses/Dissertations from 2014 2014

Hittingtime and PageRank , Shanthi Kannan

A Square Sequence for Constructing a Subset of Aleph-(omega+1) , Robert Joseph Sanders

Theses/Dissertations from 2013 2013

Galois Theory and the Hilbert Irreducibility Theorem , Damien Adams

Mathematical Inequalities , Amy Dreiling

Geometric Algebra: An Introduction with Applications in Euclidean and Conformal Geometry , Richard Alan Miller

Theses/Dissertations from 2011 2011

Teaching and learning of proof in the college curriculum , Maja Derek

Construction and Simplicity of the Large Mathieu Groups , Robert Peter Hansen

Brockett's necessary conditions and the stabilization of nonlinear control systems , Marc Michot

Integrability vs Non-Integrability of Distributions : Frobenius vs Chow , Khanh Quoc Ngo

African American Community College Student Perceptions of Mathematics Instructor Immediacy Behaviors and Perceived Cognitive Learning , Georgia Lynne Toland

Integer Factorization Methods , Stephanie Faith Vergara

Integral Cayley Graphs Over a Direct Sum of Cyclic Groups of Order 2 and 2p , Usha Ganesh Watson

Theses/Dissertations from 2010 2010

Applications of Boundary Value Problems , Annie Nguyen

Family of Circulant Graphs and Its Expander Properties , Vinh Kha Nguyen Tran Nguyen

An Iterated Forcing Extension In Which All Aleph-1 Dense Sets of Reals Are Isomorphic , Michael Haig Vartanian

Elliptic Curves and Cryptography , Senorina Ramos Vazquez

The Friendship Theorem , David Sawyer Zimmermann

Theses/Dissertations from 2009 2009

Integral and non-integral dimension of modules over non-commutative rings. , Sejal K. Dharia

Theses/Dissertations from 2008 2008

The search of graphs equienergetic with edge deleted subgraph , Wilson A. Florero

Laurent polynomial representations of sl(n) , Hélène M. Payne

Theses/Dissertations from 2007 2007

The eigenvalues of compact self-adjoint operators on Hilbert spaces , Mitra Bandari

The Lanczos algorithm and fermat's factoring method , Parvaneh Darafshi

Neural networks and differential equations , Kathleen J. Freitag

Investigation of repeated measures linear regression methodologies , Tracy N. Holsclaw

Continued fraction patterns for numbers related to Carlitz-Drinfeld exponential , Diana L. Mecum

Contour integration with applications , Misako van der Poel

Matchwebs , Katherine Shelley

Effects of pre-processing and postprocessing on the watershed transform , Padmavati Tanniru

Adding a club subset of w₂ without collapsing either w₁ or w₂ , Ivan G. Zaigralin

Theses/Dissertations from 2006 2006

Applications of regularization techniques to data fitting with PDE models , Alina Alt

Integral circulant graphs with the spectral Ádám property , Christopher F. Cusanza

Estimating and forming confidence intervals for extrema of random polynomials , Sandra DeSousa

Construction of symmetric matrices with prescribed spectra , Viet H. Nguyen

Understanding the Cayley-Hamilton Theorem , Tue Saxon Rust

Theses/Dissertations from 2005 2005

Fermat numbers : historical view with applications related to fermat primes , Faun C. Maddux

Inductive reasoning in the algebra classroom , Mihad Mahmoud Mourad

Fibonacci and Lucas series with elliptic functions , TuAnh Gia Nguyen

A numerical method for solving double integral equations , Afshin Tiraie

Theses/Dissertations from 2004 2004

Analysis on vector product spaces , Claude Michael Cassano

The isoperimetric problem in finitely presented groups , James E. Kittock

Positivity of eigenvalues of words in two positive definite letters , Ruchi Pratap

Eigenvalues of graphs : algebraic connectivity and acyclic matrices , Wafa Yacoub

Theses/Dissertations from 2003 2003

Results on chromatic sum of graphs , Sundararajan Arabhi

Special boundary value problems , Graciela Pousa Cochran

A new approach to primary decomposition , Pamela R. Kochman

Theses/Dissertations from 2002 2002

Algorithms to efficiently partition Poisson distributed data , David Foster Barnes

On deciding whether a surface is parabolic or hyperbolic , Dean Kenneth Leonardi

Image compression using wavelet transforms , Ramanjit K. Sahi

Quantum factoring , Amy D. Vu

Theses/Dissertations from 2001 2001

Fibonacci sequences and the golden section , Medha A. Bodas

The Banach-Tarski paradox in euclidean spaces , Kenneth R. Hoover

The geometry of third degree curves , Richard Jones

On Turan's pure power sum problem , Andrew H. Ledoan

The irrationality of zeta (2) and zeta (3) , Victor Legge

Closed unbounded subset problems , Parisa Safa

A decade of ethnic enrollment and achievement trends in mathematics , Barbara L. Schallau

Scheduling and weighted coloring , Sandy Weihong Zhang

Theses/Dissertations from 2000 2000

Using granules to find association rules , Eric Wah Louie

Odd perfect numbers , Anh Minh Nguyen

Poncelet's closure theorem , Loretta H. Silverman

The LU-factorization of totally positive and strictly totally positive matrices , Anna Cooper Strong

Perron-Frobenius theory and Perron Complementation , Angela Hang Tran

Theses/Dissertations from 1999 1999

A visualization of a quantum mechanical search algorithm , Terrance Bing-Parks

Algebraic theory of differential equations , Thomas J. Little

Using the Frechet derivative to improve Arnoldi's method , Huai-An Sun

Theses/Dissertations from 1998 1998

An examination of the nature of a single-sex mathematics class , Amy Burns

On analyzing GMRES from the view of geometry and an application to Haar wavelets , Mei-Wern Cheng

Approximate in inverse preconditioners for the conjugate gradient method , Chieko Honma

Self-affine wavelets , Randy S. Pencin

Theses/Dissertations from 1997 1997

Rank revealing QR factorizations , Lily L. Dalton

Traffic management methodologies for ATM networks : a new approach , Asha G. Dinesh

Attitudes and experiences of Mexican-American females in mathematics , Gretchen Ann Ehlers

The failure of GCH at a measurable cardinal , John F. Freno

A Comparison of genetic and other algorithms for the traveling salesman problem , Martin F. Schlapfer

An application of rough sets to economic and stock market data / c by Joseph A. Tremba , Joseph A. Tremba

Theses/Dissertations from 1996 1996

Heuristic algorithms for the terminal assignment problem , Teresa Li-Pei Chiu

Exploring the Poincare ́models of hyperbolic geometry using Geometer's Sketchpad , Marlene Chiaramonte Dwyer

Object-Oriented Design and Literate Programming , Glen D. Finston

An object-oriented diagram editor and code generator , Glenn Fung

Mathematical systems and their stability , Marc Steven Knobel

Advanced Search

• Notify me via email or RSS
• Collections
• Disciplines
• Mathematics and Statistics Website
• San José State University
• Dr. Martin Luther King, Jr. Library

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

Sponsored by San José State University Library

San José State University Dr. Martin Luther King, Jr. Library One Washington Square, San Jose, CA 95192-0028

• Ph.D. in Mathematics
• Ph.D. in Atmosphere Ocean Science

M.S. in Mathematics

• M.S. in Scientific Computing
• M.S. in Mathematics in Finance
• Non-Degree Study
• M.S. at Tandon School of Engineering
• Current Students

The Master's degree in mathematics encompasses the basic graduate curriculum in mathematics, and also offers the opportunity of some more specialized training in an area of interest.  A typical Master's course of study will involve basic courses in real analysis, complex analysis and linear algebra, followed by other fundamental courses such as probability, scientific computing, and differential equations. Depending on their mathematical interests, students will then be able to take more advanced graduate courses in pure and applied mathematics.  Information about admission on a non-degree basis is  here .

See frequently-asked questions regarding the impact of the Covid-19 pandemic on MS programs.

Degree Requirements

A candidate for the Master's degree in mathematics must fulfill a number of departmental requirements .

The Written Comprehensive Examinations

Master’s students who choose the Written Comprehensive Examinations option must pass with an overall grade of B. The three-part Written Comprehensive Examination is administered by the department twice a year in early September and early January. Most Master's students tend to take the exam toward the end of their graduate studies.

Students are permitted to take the written examinations twice with no special permission.  A third and final attempt may be granted by the Department on a case-by-case basis.

The examinations, in advanced calculus, complex variables and linear algebra, may include some of the following material:

Advanced Calculus:  Real numbers. Functions of one variable: continuity, mean-value, differentiability, maxima and minima, integrals, fundamental theorem of calculus, inequalities, estimation of sums and integrals, elementary functions and their power series. Funtions of several variables: partial derivatives, chain rule, MacLaurin expansion, critical points, Lagrange multipliers, inverse and implicit function theorems, jacobian, divergence and curl, theorems of Green and Stokes.

Complex Variables:  Complex numbers, analytical functions, Cauchy-Riemann equations, Cauchy's integral and applications, power series, maximum principle, Liouville's theorem, elementary functions and their conformal maps, bilinear transformation, classification of singularities, residue theorem and contour integration, Laurent series, Rouche's theorem, number of zeros and poles. 

Linear Algebra:  Vector spaces, linear dependence, basis, dimension, linear transformation, inner product, systems of linear equations, matrices, determinants, ranks, eigenvalues, diagonalization of matrices, quadratics forms, symmetric and orthogonal transformations.

Cooperative preparation is encouraged, as it is for all examinations. Students may also find the following books helpful:

Buck,  Advanced Calculus ; Courant and John,  Introduction to Calculus and Analysis ; Strang,  Linear Algebra ; Churchill,  Complex Variables and Applications .

Master's Thesis

Students who have earned a GPA of 3.7 or higher and taken at least 18 credits in the program have the option to write a Master's thesis under the supervision of a Mathematics faculty member. In certain cases involving interdisciplinary research, a second advisor outside the Department of Mathematics may be approved by the Director of Graduate Studies. All students must submit the Thesis Proposal and Advisor Approval form, outlining the research plan for the thesis which has been approved by the thesis advisor, to the Program Administrator at least four months prior to the graduation date. The completed Master's thesis must be approved by two readers -- the thesis advisor and a second reader. At least one of the readers must be a full-time Courant Mathematics faculty member. You can find more detailed information in the Thesis Guidelines FAQ.

Academic Standards

To continue registering for courses in the Department of Mathematics, a student must be in a good academic standing, fulfilling the following requirements:

• Students must maintain an average of B or better (3.0) in their first 12 credits. Students failing to achieve this will not be permitted to continue in the program. Students cannot obtain an M.S. degree unless they have maintained an overall average of at least B
• Students will be allowed no more than four no-credit grades, withdrawals, or unresolved incomplete grades during their academic tenure, and no more than two such grades in the first six courses for which they have registered.
• Credit will be given for up to two core courses taken elsewhere, subject to the normal GSAS restrictions on transfer of credit and the approval of the Program Coordinator. At least 24 course points must be taken at New York University.

For any questions contact us at:

Office of Admissions and Student Affairs Department of Mathematics Courant Institute of Mathematical Sciences 251 Mercer Street New York, NY 10012-1185 Phone (212) 998-3238 Fax (212) 995-4121 [email protected]

St Andrews Research Repository

•   St Andrews Research Repository
• Mathematics & Statistics (School of)
• Pure Mathematics

Pure Mathematics Theses

• Register / Login

By Issue Date Names Titles Subjects Classification Type Funder

Search within this collection:

Main areas of research activity are algebra, including group theory, semigroup theory, lattice theory, and computational group theory, and analysis, including fractal geometry, multifractal analysis, complex dynamical systems, Kleinian groups, and diophantine approximations.

For more information please visit the School of Mathematics and Statistics home page.

This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Recent Submissions

Separability properties of semigroups and algebras , groups defined by language theoretic classes , rearrangement groups of connected spaces , modern computational methods for finitely presented monoids , finiteness conditions on semigroups relating to their actions and one-sided congruences .

Quick links

• Directories

Masters Theses

•   LinkedIn
•   Mailing List
•   YouTube
•   News Feed

Masters and PhD Thesis and Defense Guidelines

The crucial work produced in the course of graduate study for PhD students is a doctoral dissertation. MS students may also choose to culminate their studies by completing a master's thesis. There is no length requirement for these works, and they are read and approved by a committee put together by the student and their advisor. For PhD candidates, this committee consists of four members of which one must be an outside examiner from outside Tufts. For MS candidates, the committee must include at least 3 faculty members. The department provides a LaTeX template designed to help students meet the Tufts formatting requirements with basic instructions for setting up the document, which can be found on the  Organization for Graduate Students in Mathematics Resources page .

Thesis submissions deadlines and other important guidelines can be found in the  GSAS Handbook  and GSAS'  Graduation website . It is essential that you read and understand the Graduate School requirements in order to ensure an on-time graduation. Additionally, students must submit the "Thesis/Dissertation – Request for Final Approval" form to the chair of their committee once a final draft of the document, including any revisions recommended by the committee, is approved for publication.

During the electronic submission process, students are given the opportunity to order bound paper copies of their thesis or dissertation from ProQuest. The department requests that PhD students reserve   one of these bound copies  to be kept in our library, and will cover the costs for that extra copy.

Thesis Defense

In the last term before graduation, the student and advisor will schedule a thesis defense, which is announced to and open to the whole department and to visitors invited by the candidate.

The standard format is a presentation by the student followed by questions from the audience. The general audience is then asked to leave, and questions from the committee follow. In addition to the Graduate School rules, the Math Department has some additional requirements regarding thesis defenses:

• The defense must be scheduled for a date at least 1 week prior to the thesis submission deadline, allowing time for any corrections to the thesis suggested by the committee to be made;
• The defense date must be finalized and confirmed with the thesis committee 2 weeks in advance;
• The defense date must be announced to the Department and advertised at least 2 weeks prior to the defense date, and with subsequent reminders announced by the office;
• Students are expected to send a draft of their thesis to their committee 2 weeks prior to their defense. This does not have to be a finalized version, but should be substantially complete;
• While the defense must occur with the student and all committee members (except one with permission) attending in person, the defense may be streamed virtually with the consent of the student and committee, allowing for a diverse audience. Similarly, if the student and committee agrees, the public portion of the defense may be recorded. It is strongly encouraged that faculty and graduate students in the department attend these defenses to show support for each other.

Search form

• Travel & Maps
• Our Building
• Supporting Mathematics
• Art and Oxford Mathematics
• Equality, Diversity & Inclusion
• Undergraduate Study
• Postgraduate Study
• Current Students
• Research Groups
• Case Studies
• Faculty Books
• Oxford Mathematics Alphabet
• Oxford Online Maths Club
• Oxford Maths Festival 2023
• It All Adds Up
• Problem Solving Matters
• PROMYS Europe
• Oxfordshire Maths Masterclasses
• Outreach Information
• Mailing List
• Key Contacts
• People List
• A Global Department
• Research Fellowship Programmes
• Professional Services Teams
• Conference Facilities
• Public Lectures & Events
• Departmental Seminars & Events
• Special Lectures
• Conferences
• Summer Schools
• Past Events
• Alumni Newsletters
• Info for Event Organisers & Attendees

MSc Mathematical & Computational Finance: sample dissertations

Below are some examples of MSc dissertations from previous years, which received high marks:

• Optimal Strategies from forward versus classical utilities
• Robust Pricing of Derivatives on Realised Variance
• Log Mean-Variance Portfolio Theory and Time Inconsistency
• Multilayer network valuation under bail-in
• Topological Persistence in Market Micro Structure
• Volatility is Rough
• Deep learning approach to hedging (2019 prize for best Master’s Thesis in Quantitative Finance by Natixis Foundation for Research & Innovation.)
• Risk Management with Generative Adversarial Networks.pdf  (Won award for best Masters Thesis in Quantitative Finance in Europe in 2020)
• Hawkes Process-Driven Models for Limit Order Book Dynamics.pdf   (Won award for best Masters Thesis in Quantitative Finance in Europe in 2021)
• Evaluating Credit Portfolios under IFRS 9 in the UK Economy

ScholarWorks

Home > A&S > Math > MATH_GRADPROJ

Mathematics Graduate Projects and Theses

Theses/dissertations from 2022 2022.

Relationships Between COVID-19 Infection Rates, Healthcare Access, Socioeconomic Status, and Cultural Diversity , MarGhece P.J. Barnes

The Matrix Sortability Problem , Seth Cleaver

Cognitive Demand of Teacher-Created Mathematics Assessments , Megan Marie Schmidt

Waring Rank and Apolarity of Some Symmetric Polynomials , Max Brian Sullivan

Security Analysis of Lightweight Cryptographic Primitives , William Unger

Regression Analysis of Resilience and COVID-19 in Idaho Counties , Ishrat Zaman

Theses/Dissertations from 2021 2021

Tukey Morphisms Between Finite Binary Relations , Rhett Barton

A Data Adaptive Model for Retail Sales of Electricity , Johanna Marcelia

Exploring the Beginnings of Algebraic K-Theory , Sarah Schott

Zariski Geometries and Quantum Mechanics , Milan Zanussi

Theses/Dissertations from 2020 2020

The Directed Forest Complex of Cayley Graphs , Kennedy Courtney

Beliefs About Effective Instructional Practices Among Middle Grades Teachers of Mathematics , Lauren A. Dale

Analytic Solutions for Diffusion on Path Graphs and Its Application to the Modeling of the Evolution of Electrically Indiscernible Conformational States of Lysenin , K. Summer Ware

Theses/Dissertations from 2019 2019

Dynamic Sampling Versions of Popular SPC Charts for Big Data Analysis , Samuel Anyaso-Samuel

Computable Reducibility of Equivalence Relations , Marcello Gianni Krakoff

On the Fundamental Group of Plane Curve Complements , Mitchell Scofield

Radial Basis Function Finite Difference Approximations of the Laplace-Beltrami Operator , Sage Byron Shaw

Formally Verifying Peano Arithmetic , Morgan Sinclaire

Theses/Dissertations from 2018 2018

Selective Strong Screenability , Isaac Joseph Coombs

Mathematics Student Achievement in the Context of Idaho’s Advanced Opportunities Initiative , Nichole K. Hall

Secure MultiParty Protocol for Differentially-Private Data Release , Anthony Harris

Theses/Dissertations from 2017 2017

A Stable Algorithm for Divergence-Free and Curl-Free Radial Basis Functions in the Flat Limit , Kathryn Primrose Drake

The Classification Problem for Models of ZFC , Samuel Dworetzky

Joint Inversion of Compact Operators , James Ford

Trend and Return Level of Extreme Snow Events in New York City , Mintaek Lee

Multi-Rate Runge-Kutta-Chebyshev Time Stepping for Parabolic Equations on Adaptively Refined Meshes , Talin Mirzakhanian

Investigating College Instructors’ Methods of Differentiation and Derivatives in Calculus Classes , Wedad Mubaraki

The Random Graph and Reciprocity Laws , Spencer M. Nelson

Classification of Vertex-Transitive Structures , Stephanie Potter

Theses/Dissertations from 2016 2016

On the Conjugacy Problem for Automorphisms of Trees , Kyle Douglas Beserra

The Density Topology on the Reals with Analogues on Other Spaces , Stuart Nygard

Latin Squares and Their Applications to Cryptography , Nathan O. Schmidt

Solution Techniques and Error Analysis of General Classes of Partial Differential Equations , Wijayasinghe Arachchige Waruni Nisansala Wijayasinghe

Numerical Computing with Functions on the Sphere and Disk , Heather Denise Wilber

Theses/Dissertations from 2015 2015

The Classical Theory of Rearrangements , Monica Josue Agana

Nonlinear Partial Differential Equations, Their Solutions, and Properties , Prasanna Bandara

The Impact of a Quantitative Reasoning Instructional Approach to Linear Equations in Two Variables on Student Achievement and Student Thinking About Linearity , Paul Thomas Belue

Student Understanding of Function and Success in Calculus , Daniel I. Drlik

Monodromy Representation of the Braid Group , Phillip W. Hart

The Frobenius Problem , Anna Marie Megale

Theses/Dissertations from 2014 2014

Pi-1-1-determinacy and Sharps , Shehzad Ahmed

A Radial Basis Function Partition of Unity Method for Transport on the Sphere , Kevin Aiton

Diagrammatically Reducible 2-Complexes , Tyler Allyn

A Stochastic Parameter Regression Model for Long Memory Time Series , Rose Marie Ocker

Theses/Dissertations from 2013 2013

The Assignment Packet Grading System , Sarah Nichole Bruce

Using Learner-Generated Examples to Support Student Understanding of Functions , Martha Ottelia Dinkelman

Computing Curvature and Curvature Normals on Smooth Logically Cartesian Surface Meshes , John Thomas Hutchins

Schur's Theorem and Related Topics in Ramsey Theory , Summer Lynne Kisner

Theses/Dissertations from 2012 2012

On the Geometry of Virtual Knots , Rachel Elizabeth Byrd

A Stochastic Parameter Regression Approach for Time-Varying Relationship between Gold and Silver Prices , Birsen Canan-McGlone

Uncertainty Analysis of RELAP5-3D© , Alexandra E. Gertman and George L. Mesina

A Statistical Method for Regularizing Nonlinear Inverse Problems , Chad Clifton Hammerquist

Perfect Stripes from a General Turing Model in Different Geometries , Jean Tyson Schneider

Stability and Convergence for Nonlinear Partial Differential Equations , Oday Mohammed Waheeb

Regular Homotopy of Closed Curves on Surfaces , Katherine Kylee Zebedeo

Theses/Dissertations from 2011 2011

Coloring Problems , Thomas Antonio Charles Chartier

Modules Over Localized Group Rings for Groups Mapping Onto Free Groups , Nicholas Davidson

How Do We Help Students Interpret Contingency Tables? A Study on the Use of Proportional Reasoning as an Intervention , Kathleen M. Isaacson

A Fictitious Point Method for Handling Boundary Conditions in the RBF-FD Method , Joseph Lohmeier

Theses/Dissertations from 2010 2010

Developmental Understanding of the Equals Sign and Its Effects on Success in Algebra , Ryan W. Brown

The Inquiry Learning Model as an Approach to Mathematics Instruction , Michael C. Brune

Galois Theory for Differential Equations , Soheila Eghbali

Stably Free Modules Over the Klein Bottle , Andrew Misseldine

Combinatorics and Topology of Curves and Knots , Bailey Ann Ross

Theses/Dissertations from 2009 2009

Concept Booklets: Examining the Performance Effects of Journaling of Mathematics Course Concepts , Todd Stephen Fogdall

Effective Sample Size in Order Statistics of Correlated Data , Neill McGrath

Transparency in Formal Proof , Cap Petschulat

Weight Selection by Misfit Surfaces for Least Squares Estimation , Garrett Saunders

The Effects of a Standards-Based Mathematics Curriculum on the Self-Efficacy and Academic Achievement of Previously Unsuccessful Students , Cindy Chesley Shaw

Analytical Upstream Collocation Solution of a Quadratic Forced Steady-State Convection-Diffusion Equation , Eric Paul Smith

Solvability Characterizations of Pell Like Equations , Jason Smith

Theses/Dissertations from 2008 2008

Tube-Equivalence of Spanning Surfaces and Seifert Surfaces , Thomas Glass

Simple Tests for Short Memory in ARFIMA Models , Timothy A. C. Hughes

Incomparable Metrics on the Cantor Space , Trevor Jack

Richards' Equation and Its Constitutive Relations as a System of Differential-Algebraic Equations , Shannon K. Murray

Theses/Dissertations from 2007 2007

Theorem Proving in Elementary Analysis , Joanna Porter Guild

An Investigation of Lucas Sequences , Dustin E. Hinkel

A Canonical Countryman Line , William Russell Hudson

• Collections
• Disciplines
• SelectedWorks Gallery
• Albertsons Library
• Division of Research
• Graduate College

Advanced Search

• Notify me via email or RSS

Author Corner

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

We use cookies on reading.ac.uk to improve your experience, monitor site performance and tailor content to you

Read our cookie policy to find out how to manage your cookie settings

This site may not work correctly on Internet Explorer. We recommend switching to a different browser for a better experience.

Mathematics MSc dissertations

The Department of Mathematics and Statistics was host until 2014 to the MSc course in the Mathematics of Scientific and Industrial Computation (previously known as Numerical Solution of Differential Equations) and the MSc course in Mathematical and Numerical Modelling of the Atmosphere and Oceans. A selection of dissertation titles are listed below, some of which are available online:

2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

2014: Mathematics of Scientific and Industrial Computation

Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media

2014: Applicable and Numerical Mathematics

Emine Akkus - Estimating forecast error covariance matrices with ensembles

Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis

2013: Mathematics of Scientific and Industrial Computation

Zeinab Zargar - Modelling of Hot Water Flooding as an Enhanced Oil Recovery Method

Siti Mazulianawati Haji Majid - Numerical Approximation of Similarity in Nonlinear Diffusion Equations

2013: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves

Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology

2012: Mathematics of Scientific and Industrial Computation

Chris Louder - Mathematical Techniques of Image Processing

Jonathan Muir - Flux Modelling of Polynyas

Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations

2012: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach

2011: Mathematics of Scientific and Industrial Computation

Tudor Ciochina - The Closest Point Method

Theodora Eleftheriou - Moving Mesh Methods Using Monitor Functions for the Porous Medium Equation

Melios Michael - Self-Consistent Field Calculations on a Variable Resolution Grid

2011: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Peter Barnet - Rain Drop Growth by Collision and Coalescence

Matthew Edgington - Moving Mesh Methods for Semi-Linear Problems

Samuel Groth - Light Scattering by Penetrable Convex Polygons

Charlotte Kong - Comparison of Approximate Riemann Solvers

Amy Jackson - Estimation of Parameters in Traffic Flow Models Using Data Assimilation

Bruce Main - Solving Richards' Equation Using Fixed and Moving Mesh Schemes

Justin Prince - Fast Diffusion in Porous Media

Carl Svoboda - Reynolds Averaged Radiative Transfer Model

2010: Mathematics of Scientific and Industrial Computation

Tahnia Appasawmy - Wave Reflection and Trapping in a Two Dimensional Duct

Nicholas Bird - Univariate Aspects of Covariance Modelling within Operational Atmospheric Data Assimilation

Michael Conland - Numerical Approximation of a Quenching Problem

Katy Shearer - Mathematical Modelling of the regulation and uptake of dietary fats

Peter Westwood - A Moving Mesh Finite Element Approach for the Cahn-Hilliard Equation

Kam Wong - Accuracy of a Moving Mesh Numerical Method applied to the Self-similar Solution of Nonlinear PDEs

2010: Mathematical and Numerical Modelling of the Atmosphere and Oceans

James Barlow - Computation and Analysis of Baroclinic Rossby Wave Rays in the Atlantic and Pacific Oceans

Martin Conway - Heat Transfer in a Buried Pipe

Simon Driscoll - The Earth's Atmospheric Angular Momentum Budget and its Representation in Reanalysis Observation Datasets and Climate Models

George Fitton - A Comparative Study of Computational Methods in Cosmic Gas Dynamics Continued

Fay Luxford - Skewness of Atmospheric Flow Associated with a Wobbling Jetstream

Jesse Norris - A Semi-Analytic Approach to Baroclinic Instability on the African Easterly Jet

Robert J. Smith - Minimising Time-Stepping Errors in Numerical Models of the Atmosphere and Ocean

Amandeep Virdi - The Influence of the Agulhas Leakage on the Overturning Circulation from Momentum Balances

2009: Mathematics of Scientific and Industrial Computation

Charlotta Howarth - Integral Equation Formulations for Scattering Problems

David Fairbairn - Comparison of the Ensemble Transform Kalman Filter with the Ensemble Transform Kalman Smoother

Mark Payne - Mathematical Modelling of Platelet Signalling Pathways Mesh Generation and its application to Finite Element Methods

Mary Pham - Mesh Generation and its application to Finite Element Methods

Sarah Cole - Blow-up in a Chemotaxis Model Using a Moving Mesh Method

2009: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Danila Volpi - Estimation of parameters in traffic flow models using data assimilation

Dale Partridge - Analysis and Computation of a Simple Glacier Model using Moving Grids

David MacLeod - Evaluation of precipitation over the Middle East and Mediterranean in high resolution climate models

Joanne Pocock - Ensemble Data Assimilation: How Many Members Do We Need?

Neeral Shah - Impact and implications of climate variability and change on glacier mass balance in Kenya

Tomos Roberts - Non-oscillatory interpolation for the Semi-Lagrangian scheme

Zak Kipling - Error growth in medium-range forecasting models

Zoe Gumm - Bragg Resonance by Ripple Beds

2008: Mathematics of Scientific and Industrial Computation

Muhammad Akram - Linear and Quadratic Finite Elements for a Moving Mesh Method

Andrew Ash - Examination of non-Time Harmonic Radio Waves Incident on Plasmas

Cassandra Moran - Harbour modelling and resonances

Elena Panti - Boundary Element Method for Heat Transfer in a Buried Pipe

Juri Parrinello - Modelling water uptake in rice using moving meshes

Ashley Twigger - Blow-up in the Nonlinear Schrodinger Equation Using an Adaptive Mesh Method

Chloe Ward - Numerical Evaluation of Oscillatory Integrals

Christopher Warner - Forward and Inverse Water-Wave Scattering by Topography

2008: Mathematical and Numerical Modelling of the Atmosphere and Oceans

Fawzi Al Busaidi - Fawzi Albusaidi

Christopher Bowden - A First Step Towards the Calculation of a Connectivity Matrix for the Great Barrier Reef

Evangelia-Maria Giannakopoulou - Flood Prediction and Uncertainty

Victoria Heighton - 'Every snowflake is different'

Thomas Jordan - Does Self-Organised Criticality Occur in the Tropical Convective System?

Gillian Morrison - Numerical Modelling of Tidal Bores using a Moving Mesh

Rachel Pritchard - Evaluation of Fractional Dispersion Models

2007: Numerical solution of differential equations

Tamsin Lee - New methods for approximating acoustic wave transmission through ducts (PDF 2.5MB)

Lee Morgan - Anomalous diffusion (PDF-1.5MB)

Keith Pham - Finite element modelling of multi-asset barrier options (PDF-3MB)

Alastair Radcliffe - Finite element modelling of the atmosphere using the shallow water equations (PDF-2.5MB)

Sanita Vetra - The computation of spectral representations for evolution PDE (PDF-3.2MB)

2007: Mathematical and numerical modelling of the atmosphere and oceans

Laura Baker - Properties of the ensemble Kalman filter (PDF-3.8MB)

Alison Brass - A moving mesh method for the discontinuous Galerkin finite element technique (PDF-916KB)

Daniel Lucas - Application of the phase/amplitude method to the study of trapped waves in the atmosphere and oceans (PDF-1.1MB)

Duduzile Nhlengethwa - Petrol or diesel (PDF-1MB)

Rhiannon Roberts - Modelling glacier flow (PDF-406KB)

David Skinner - A moving mesh finite element method for the shallow water equations (PDF-4.3MB)

Jovan Stojsavljevic - Investigation of waiting times in non-linear diffusion equations using a moving mesh method (PDF-538KB)

2006: Numerical solution of differential equations

Bonhi Bhattacharya - A moving finite element method for high order nonlinear diffusion problems

Jonathan Coleman - High frequency boundary element methods for scattering by complex polygons

Rachael England - The use of numerical methods in solving pricing problems for exotic financial derivatives with a stochastic volatility

Stefan King - Best fits with adjustable nodes and scale invariance

Edmund Ridley - Analysis of integral operators from scattering problems

Nicholas Robertson - A moving Lagrangian mesh model of a lava dome volcano and talus slope

2006: Mathematical and numerical modelling of the atmosphere and oceans

Iain Davison - Scale analysis of short term forecast errors

Richard Silveira - Electromagnetic scattering by simple ice crystal shapes

Nicola Stone - Development of a simplified adaptive finite element model of the Gulf Stream

Halina Watson - The behaviour of 4-D Var for a highly nonlinear system

2005: Numerical solution of differential equations

Jonathan Aitken - Data dependent mesh generation for peicewise linear interpolation

Stephen Arden - A collocation method for high frequency scattering by convex polygons

Shaun Benbow - Numerical methods for american options

Stewart Chidlow - Approximations to linear wave scattering by topography using an integral equation approach

Philip McLaughlin - Outdoor sound propagation and the boundary element method

Antonis Neochoritis - Numerical modelling of islands and capture zone size distributions in thin film growth

Kylie Osman - Numerical schemes for a non-linear diffusion problem

Shaun Potticary - Efficient evaluation of highly oscillatory integrals

Martyn Taylor - Investigation into how the reduction of length scales affects the flow of viscoelastic fluid in parallel plate geometries

Aanand Venkatramanan - American spread option pricing

2005: Mathematical and numerical modelling of the atmosphere and oceans

Richard Fruehmann - Ageostrophic wind storms in the central Caspian sea

Gemma Furness - Using optimal estimation theory for improved rainfall rates from polarization radar

Edward Hawkins - Vorticity extremes in numerical simulations of 2-D geostrophic turbulence

Robert Horton - Two dimensional turbulence in the atmosphere and oceans

David Livings - Aspects of the ensemble Kalman filter

David Sproson - Energetics and vertical structure of the thermohaline circulation

2004: Numerical solution of differential equations

Rakhib Ahmed - Numerical schemes applied to the Burgers and Buckley-Leverett equations

James Atkinson - Embedding methods for the numerical solution of convolution equations

Catherine Campbell-Grant - A comparative study of computational methods in cosmic gas dynamics

Paresh Prema - Numerical modelling of Island ripening

Mark Webber - The point source methods in inverse acoustic scattering

2004: Mathematical and numerical modelling of the atmosphere and oceans

Oliver Browne - Improving global glacier modelling by the inclusion of parameterised subgrid hypsometry within a three-dimensional, dynamical ice sheet model

Petros Dalakakis - Radar scattering by ice crystals

Eleanor Gosling - Flow through porous media: recovering permeability data from incomplete information by function fitting .

Sarah Grintzevitch - Heat waves: their climatic and biometeorological nature in two north american reigions

Helen Mansley - Dense water overflows and cascades

Polly Smith - Application of conservation laws with source terms to the shallow water equations and crowd dynamics

Peter Taylor - Application of parameter estimation to meteorology and food processing

2003: Numerical solution of differential equations

Kate Alexander - Investigation of a new macroscopic model of traffic flow

Luke Bennetts - An application of the re-iterated Galerkin approximation in 2-dimensions

Peter Spence - The Position of the free boundary formed between an expanding plasma and an electric field in differing geometries

Daniel Vollmer - Adaptive mesh refinement using subdivision of unstructured elements for conservation laws

2003: Mathematical and numerical modelling of the atmosphere and oceans

Clare Harris - The Valuation of weather derivatives using partial differential equations

Sarah Kew - Development of a 3D fractal cirrus model and its use in investigating the impact of cirrus inhomogeneity on radiation

Emma Quaile - Rotation dominated flow over a ridge

Jemma Shipton - Gravity waves in multilayer systems

2002: Numerical solution of differential equations

Winnie Chung - A Spectral Method for the Black Scholes Equations

Penny Marno - Crowded Macroscopic and Microscopic Models for Pedestrian Dynamics

Malachy McConnell - On the numerical solution of selected integrable non-linear wave equations

Stavri Mylona - An Application of Kepler's Problem to Formation Flying using the Störmer-Verlet Method

2002: Mathematical and numerical modelling of the atmosphere and oceans

Sarah Brodie - Numerical Modelling of Stratospheric Temperature Changes and their Possible Causes

Matt Sayer - Upper Ocean Variability in the Equatorial Pacific on Diurnal to Intra-seasonal Timescales

Laura Stanton - Linearising the Kepler problem for 4D-var Data Assimilation

2001: Numerical solution of differential equations

R.B. Brad - An Implementation of the Box Scheme for use on Transcritical Problems

D. Garwood - A Comparison of two approaches for the Approximating of 2-D Scattered Data, with Applications to Geological Modelling

R. Hawkes - Mesh Movement Algorithms for Non-linear Fisher-type Equations

P. Jelfs - Conjugate Gradients with Rational and Floating Point Arithmetic

M. Maisey - Vorticity Preserving Lax-Wendroff Type Schemes

C.A. Radcliffe - Positive Schemes for the Linear Advection Equation

2000: Numerical solution of differential equations

D. Brown - Two Data Assimilation Techniques for Linear Multi-input Systems.

S. Christodoulou - Finite Differences Applied to Stochastic Problems in Pricing Derivatives.

C. Freshwater - The Muskingum-Cunge Method for Flood Routing.

S.H. Man - Galerkin Methods for Coupled Integral Equations.

A. Laird - A New Method for Solving the 2-D Advection Equation.

T. McDowall - Finite Differences Applied to Joint Boundary Layer and Eigenvalue Problems.

M. Shahrill - Explicit Schemes for Finding Soliton Solutions of the Korteweg-de Vries Equation.

B. Weston - A Marker and Cell Solution of the Incompressible Navier-Stokes Equations for Free Surface Flow.

1999: Numerical solution of differential equations

M. Ariffin - Grid Equidistribution via Various Algorithmic Approaches.

S.J. Fletcher - Numerical Approximations to Bouyancy Advection in the Eddy Model.

N.Fulcher - The Finite Element Approximation of the Natural Frequencies of a Circular Drum.

V. Green - A Financial Model and Application of the Semi-Lagrangian Time-Stepping Scheme.

D.A. Parry - Construction of Symplectic Runge-Kutta Methods and their Potential for Molecular Dynamics Application.

S.C. Smith - The Evolution of Travelling Waves in a Simple Model for an Ionic Autocatalytic System

P. Swain - Numerical Investigations of Vorticity Preserving Lax-Wendroff Type Schemes.

M. Wakefield - Variational Methods for Upscaling.

1998: Numerical solution of differential equations

C.C. Anderson - A dual-porosity model for simulating the preferential movement of water in the unsaturated zone of a chalk aquifer.

K.W. Blake - Contour zoning.

M.R. Garvie - A comparison of cell-mapping techniques for basins of attraction.

W. Gaudin - HYDRA: a 3-d MPP Eulerian hydrocode.

D. Gnandi - Alternating direction implicit method applied to stochastic problems in derivative finance.

J. Hudson - Numerical techniques for conservation laws with source terms. .

H.S. Khela - The boundary integral method.

K. Singh - A comparison of numerical schemes for pricing bond options.

1997: Numerical solution of differential equations

R.V. Egan - Chaotic response of the Duffing equation. A numerical investigation into the dynamics of the non-linear vibration equation.

R.G. Higgs - Nonlinear diffusion in reservoir simulation.

P.B. Horrocks - Fokker-Planck model of stochastic acceleration: a study of finite difference schemes.

M.A. Wlasek - Variational data assimilation: a study.

1996: Numerical solution of differential equations

A. Barnes - Reaction-diffusion waves in an isothermal chemical system with a general order of autocatalysis.

S.J. Leary - Mesh movement and mesh subdivision.

S. McAllister - First and second order complex differential equations.

R.K. Sadhra - Investigating dynamical systems using the cell-to-cell mapping.

J.P. Wilson - A refined numerical model of sediment deposition on saltmarshes.

1995: Numerical solution of differential equations

M. Bishop - The modelling and analysis of the equations of motion of floating bodies on regular waves.

J. Olwoch - Isothermal autocatalytic reactions with an immobilized autocatalyst.

S. Stoke - Eulerian methods with a Lagrangian phase in gas dynamics.

R. Coad - 1-D and 2-D simulations of open channel flows using upwinding schemes.

1994: Numerical solution of differential equations

M. Ali - Application of control techniques to solving linear systems of equations .

M.H. Brookes - An investigation of a dual-porosity model for the simulation of unsaturated flow in a porous medium .

A.J. Crossley - Application of Roe's scheme to the shallow water equations on the sphere .

D.A. Kirkland - Huge singular values and the distance to instability. .

B.M. Neil - An investigation of the dynamics of several equidistribution schemes .

1993: Numerical solution of differential equations

P.A. Burton - Re-iterative methods for integral equations .

J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D. .

L.M. Whitfield - The application of optimal control theory to life cycle strategies .

S.J. Woolnough - A numerical model of sediment deposition on saltmarshes .

1992: Numerical solution of differential equations

I. MacDonald - The numerical solution of free surface/pressurized flow in pipes. .

A.D. Pollard - Preconditioned conjugate gradient methods for serial and parallel computers. .

C.J. Smith - Adaptive finite difference solutions for convection and convection-diffusion problems .

1991: Numerical solution of differential equations

K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .

Universität Bonn

Preparation of the Final Thesis

The mathematics degree programs conclude with a Bachelor's or Master's thesis, in which independent work on a mathematical topic is to be demonstrated. The Examination Board has compiled the most important requirements for theses and some assessment criteria as guidelines.

• Please read the document carefully before you register your thesis.
• When registering the thesis, you confirm with your signature that you have taken note of the requirements in the document.

The teacher training programs also end with a final thesis. This can be completed in the subject mathematics.

Rules for Theses in the Subject-Specific Study Programs

Here you will find the regulations for registering and submitting final theses that apply to both mathematics programs. Specific deadlines and rules are listed under the respective degree program.

As a rule, students find a supervisor for their thesis on their own initiative.

• Every professor of mathematics in Bonn can of course assign topics for theses.
• Many other doctoral lecturers at Bonn Mathematics have been appointed by the Examination Board to supervise theses. You can enquire about this with the person concerned.
• One of the two reviewers must always be a professor of mathematics at Bonn University.
• If you have not found a supervisor yourself, you can also have one assigned to you by the Examination Board . In this case, please contact the Bachelor-Master Office Mathematics.

The thesis must be registered using the form Registration of the Thesis .The form must be signed by both you and the supervisor of the thesis.

• The form must state the topic of the thesis and your first supervisor.
• You also confirm that you have taken note of the requirements for the final theses of your degree program.
• At the same time, you will be registered for the seminar accompanying your thesis.
• The registration form must be submitted to the Bachelor-Master Office Mathematics immediately after the topic has been assigned and within four weeks of the supervisor's signature.
• If the registration form is received in February or August, the thesis can still be assessed in the semester in which it is submitted.
• For the accompanying thesis seminar you earn 6 credit points. It is registered for the semester in which your thesis is due for submission.
• During the time you are working on your thesis, there are usually three presentations in the thesis seminar on the topic of the thesis and the results achieved.
• The examination of the thesis seminar consists of a graded (final) presentation, which should be held shortly before or shortly after the submission of the thesis. 
• The day on which you give the graded presentation is an examination date and is therefore relevant for your degree.
• Therefore, please make sure that the presentation takes place before the end of the semester in which you wish to graduate.
• The deadline for submitting your thesis is calculated from the signature date of your supervisor plus the working time.
• You can see the submission date of your thesis in BASIS.
• The deadline for submitting your thesis is strict. If you submit the thesis after this date, it will be failed.
• Please note that you are responsible for meeting the submission deadline. Your supervisors are not necessarily aware of your submission deadline, and in no case could they change the deadline for you, as this is set by the examination regulations.
• In the event of illness , the deadline can be extended by up to six weeks.

The thesis must be submitted on time in the required number of copies together with the form Submission of the Thesis at the Bachelor-Master Office Mathematics . On the submission form, you confirm that you have written the paper independently and have not used any sources or aids other than those specified and that you have indicated any quotations.

Requirements:

• DIN A4, printed on both sides, with cover page
• in a bound version (no spiral bindings please!)
• If programming code or similar is available, it must be attached to each copy of the work on a CD or a USB stick that is as flat as possible (do not send it by e-mail). The CD or stick must be glued to the last page of a copy.
• A single copy of the submission form must be submitted separately.

Options for submitting the thesis:

• personal delivery during office hours
• personal delivery after making an appointment outside office hours
• by post to the Bachelor-Master Office Mathematics The date of the postmark is decisive for the submission.

The thesis is evaluated by two assessors.

• The first assessor is the person who provided the topic of the thesis.
• The second assessor must be proposed by you when you submit your thesis. You are therefore responsible for finding a suitable second reviewer. On request, the supervisor can of course help you with this.
• Both reviewers must be noted on the title page of the thesis (see templates for the title page).

As a rule, the candidate is notified of the thesis' evaluation six to eight weeks after the submission date.

Bachelor's Thesis (B.Sc. Mathematik)

• The topic of the Bachelor's thesis is usually assigned towards the end of the fifth semester.
• You need to have earned at leat 90 credit points in order to register the Bachelor's thesis.

The working period of a Bachelor's thesis is five months.

• The Bachelor's thesis is estimated to require a workload of 360 hours.
• Therefore it earns 12 credit points.

The text part of the Bachelor's thesis must be between 5 and 50 pages long.

• Deviations from this require the approval of the Examination Board.
• In this case, please obtain the consent of both your advisors.
• Then send an application by e-mail to the Bachelor-Master Office Mathematics .

The language of the Bachelor's degree program is German. You can write your Bachelor's thesis in English if

• your supervisor agrees with it and
• the thesis contains a summary in German.

There is a coursework for the Bachelor's thesis seminar, the training in subject-specific literature research . It will be noted in BASIS when you register your Bachelor's thesis and it is a prerequisite for passing the Bachelor's thesis seminar.

The training courses are offered by the University and State Library in the form of a one-off two-hour course. The course imparts knowledge that is very useful for academic work, especially when writing a Bachelor's thesis, for example the use of the relevant academic online archives.

• The courses are held in the MNL departmental library in the training room on the 1st floor.
• Usually three dates are offered every semester, each on a Monday or Wednesday from 16.15 to 18.00 hrs.
• You can register for a date via an online form.

After you have taken part in a course, we will enter the coursework as passed in BASIS.

• You must complete this training shortly before or during the time you are working on your Bachelor's thesis.

The title page of your Bachelor's thesis must be agreed with your supervisor.

• In particular, make sure that you name the correct institute to which your supervisor belongs.
• Please use our LaTeX-template for the title page of your Bachelor's thesis.

The submission deadline for the Bachelor's thesis is 5 months after the date on which the supervisor signed the application.

• Three copies of the Bachelor's thesis must be submitted.

Master's Thesis (M.Sc. Mathematics)

• The topic of the Master's thesis is usually assigned towards the end of the second semester.
• You need to have earned at leat 30 credit points in order to register the Master's thesis.

The working period of a Master's thesis is twelve months.

• The Master's thesis is estimated to require a workload of 900 hours.
• Therefore it earns 30 credit points.

The text part of the Master's thesis must be between 10 and 100 pages long.

The language of the Master's degree program is English. You can write your Master's thesis in German if

• the thesis contains a summary in English.

The title page of your Master's thesis must be agreed with your supervisor.

• Please use our LaTeX-template for the title page of your Master's thesis.

The submission deadline for the Master's thesis is 12 months after the date on which the supervisor signed the application.

• Four copies of the Master's thesis must be submitted. One copy will be made available to the Mathematics Library.

If you would like to apply for a PhD position at BIGS Mathematics you should find out about the application process at the beginning of the third Master's semester.

Reimbursement of the Printing Costs for the Thesis

The printing costs for the required copies of your thesis can be reimbursed upon application. This also applies to theses in the teacher training programs that were written in mathematics.

• Please fill out the application form and hand it in at the Bachelor-Master Office Mathematics.
• The enclosed original receipt must show the number of copies printed.
• Please attach the receipts to the separately printed page 2 of the form using a glue stick.

Please submit the form promptly, as the original receipts are only valid for 6 months.

Examination Office Mathematics

BYU ScholarsArchive

Home > Physical and Mathematical Sciences > Mathematics Education > Theses and Dissertations

Mathematics Education Theses and Dissertations

Theses/dissertations from 2024 2024.

New Mathematics Teachers' Goals, Orientations, and Resources that Influence Implementation of Principles Learned in Brigham Young University's Teacher Preparation Program , Caroline S. Gneiting

Theses/Dissertations from 2023 2023

Impact of Applying Visual Design Principles to Boardwork in a Mathematics Classroom , Jennifer Rose Canizales

Practicing Mathematics Teachers' Perspectives of Public Records in Their Classrooms , Sini Nicole White Graff

Parents' Perceptions of the Importance of Teaching Mathematics: A Q-Study , Ashlynn M. Holley

Engagement in Secondary Mathematics Group Work: A Student Perspective , Rachel H. Jorgenson

Theses/Dissertations from 2022 2022

Understanding College Students' Use of Written Feedback in Mathematics , Erin Loraine Carroll

Identity Work to Teach Mathematics for Social Justice , Navy B. Dixon

Developing a Quantitative Understanding of U-Substitution in First-Semester Calculus , Leilani Camille Heaton Fonbuena

The Perception of At-Risk Students on Caring Student-Teacher Relationships and Its Impact on Their Productive Disposition , Brittany Hopper

Variational and Covariational Reasoning of Students with Disabilities , Lauren Rigby

Structural Reasoning with Rational Expressions , Dana Steinhorst

Student-Created Learning Objects for Mathematics Renewable Assignments: The Potential Value They Bring to the Broader Community , Webster Wong

Theses/Dissertations from 2021 2021

Emotional Geographies of Beginning and Veteran Reformed Teachers in Mentor/Mentee Relationships , Emily Joan Adams

You Do Math Like a Girl: How Women Reason Mathematically Outside of Formal and School Mathematics Contexts , Katelyn C. Pyfer

Developing the Definite Integral and Accumulation Function Through Adding Up Pieces: A Hypothetical Learning Trajectory , Brinley Nichole Stevens

Theses/Dissertations from 2020 2020

Mathematical Identities of Students with Mathematics Learning Dis/abilities , Emma Lynn Holdaway

Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures , Porter Peterson Nielsen

Student Use of Mathematical Content Knowledge During Proof Production , Chelsey Lynn Van de Merwe

Theses/Dissertations from 2019 2019

Making Sense of the Equal Sign in Middle School Mathematics , Chelsea Lynn Dickson

Developing Understanding of the Chain Rule, Implicit Differentiation, and Related Rates: Towards a Hypothetical Learning Trajectory Rooted in Nested Multivariation , Haley Paige Jeppson

Secondary Preservice Mathematics Teachers' Curricular Reasoning , Kimber Anne Mathis

“Don’t Say Gay. We Say Dumb or Stupid”: Queering ProspectiveMathematics Teachers’ Discussions , Amy Saunders Ross

Aspects of Engaging Problem Contexts From Students' Perspectives , Tamara Kay Stark

Theses/Dissertations from 2018 2018

Addressing Pre-Service Teachers' Misconceptions About Confidence Intervals , Kiya Lynn Eliason

How Teacher Questions Affect the Development of a Potential Hybrid Space in a Classroom with Latina/o Students , Casandra Helen Job

Teacher Graphing Practices for Linear Functions in a Covariation-Based College Algebra Classroom , Konda Jo Luckau

Principles of Productivity Revealed from Secondary Mathematics Teachers' Discussions Around the Productiveness of Teacher Moves in Response to Teachable Moments , Kylie Victoria Palsky

Theses/Dissertations from 2017 2017

Curriculum Decisions and Reasoning of Middle School Teachers , Anand Mikel Bernard

Teacher Response to Instances of Student Thinking During Whole Class Discussion , Rachel Marie Bernard

Kyozaikenkyu: An In-Depth Look into Japanese Educators' Daily Planning Practices , Matthew David Melville

Analysis of Differential Equations Applications from the Coordination Class Perspective , Omar Antonio Naranjo Mayorga

Theses/Dissertations from 2016 2016

The Principles of Effective Teaching Student Teachershave the Opportunity to Learn in an AlternativeStudent Teaching Structure , Danielle Rose Divis

Insight into Student Conceptions of Proof , Steven Daniel Lauzon

Theses/Dissertations from 2015 2015

Teacher Participation and Motivation inProfessional Development , Krystal A. Hill

Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom , Ashley Burgess Hulet

English Learners' Participation in Mathematical Discourse , Lindsay Marie Merrill

Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom , Paula Jeffery Prestwich

Parents and the Common Core State Standards for Mathematics , Rebecca Anne Roberts

Examining the Effects of College Algebra on Students' Mathematical Dispositions , Kevin Lee Watson

Problems Faced by Reform Oriented Novice Mathematics Teachers Utilizing a Traditional Curriculum , Tyler Joseph Winiecke

Academic and Peer Status in the Mathematical Life Stories of Students , Carol Ann Wise

Theses/Dissertations from 2014 2014

The Effect of Students' Mathematical Beliefs on Knowledge Transfer , Kristen Adams

Language Use in Mathematics Textbooks Written in English and Spanish , Kailie Ann Bertoch

Teachers' Curricular Reasoning and MKT in the Context of Algebra and Statistics , Kolby J. Gadd

Mathematical Telling in the Context of Teacher Interventions with Collaborative Groups , Brandon Kyle Singleton

An Investigation of How Preservice Teachers Design Mathematical Tasks , Elizabeth Karen Zwahlen

Theses/Dissertations from 2013 2013

Student Understanding of Limit and Continuity at a Point: A Look into Four Potentially Problematic Conceptions , Miriam Lynne Amatangelo

Exploring the Mathematical Knowledge for Teaching of Japanese Teachers , Ratu Jared R. T. Bukarau

Comparing Two Different Student Teaching Structures by Analyzing Conversations Between Student Teachers and Their Cooperating Teachers , Niccole Suzette Franc

Professional Development as a Community of Practice and Its Associated Influence on the Induction of a Beginning Mathematics Teacher , Savannah O. Steele

Types of Questions that Comprise a Teacher's Questioning Discourse in a Conceptually-Oriented Classroom , Keilani Stolk

Theses/Dissertations from 2012 2012

Student Teachers' Interactive Decisions with Respect to Student Mathematics Thinking , Jonathan J. Call

Manipulatives and the Growth of Mathematical Understanding , Stacie Joyce Gibbons

Learning Within a Computer-Assisted Instructional Environment: Effects on Multiplication Math Fact Mastery and Self-Efficacy in Elementary-Age Students , Loraine Jones Hanson

Mathematics Teacher Time Allocation , Ashley Martin Jones

Theses/Dissertations from 2011 2011

How Student Positioning Can Lead to Failure in Inquiry-based Classrooms , Kelly Beatrice Campbell

Teachers' Decisions to Use Student Input During Class Discussion , Heather Taylor Toponce

A Conceptual Framework for Student Understanding of Logarithms , Heather Rebecca Ambler Williams

Theses/Dissertations from 2010 2010

Growth in Students' Conceptions of Mathematical Induction , John David Gruver

Contextualized Motivation Theory (CMT): Intellectual Passion, Mathematical Need, Social Responsibility, and Personal Agency in Learning Mathematics , Janelle Marie Hart

Thinking on the Brink: Facilitating Student Teachers' Learning Through In-the-Moment Interjections , Travis L. Lemon

Understanding Teachers' Change Towards a Reform-Oriented Mathematics Classroom , Linnae Denise Williams

Theses/Dissertations from 2009 2009

A Comparison of Mathematical Discourse in Online and Face-to-Face Environments , Shawn D. Broderick

The Influence of Risk Taking on Student Creation of Mathematical Meaning: Contextual Risk Theory , Erin Nicole Houghtaling

Uncovering Transformative Experiences: A Case Study of the Transformations Made by one Teacher in a Mathematics Professional Development Program , Rachelle Myler Orsak

Theses/Dissertations from 2008 2008

Student Teacher Knowledge and Its Impact on Task Design , Tenille Cannon

How Eighth-Grade Students Estimate with Fractions , Audrey Linford Hanks

Similar but Different: The Complexities of Students' Mathematical Identities , Diane Skillicorn Hill

Choose Your Words: Refining What Counts as Mathematical Discourse in Students' Negotiation of Meaning for Rate of Change of Volume , Christine Johnson

Mathematics Student Teaching in Japan: A Multi-Case Study , Allison Turley Shwalb

Theses/Dissertations from 2007 2007

Applying Toulmin's Argumentation Framework to Explanations in a Reform Oriented Mathematics Class , Jennifer Alder Brinkerhoff

What Are Some of the Common Traits in the Thought Processes of Undergraduate Students Capable of Creating Proof? , Karen Malina Duff

Probing for Reasons: Presentations, Questions, Phases , Kellyn Nicole Farlow

One Problem, Two Contexts , Danielle L. Gigger

The Main Challenges that a Teacher-in-Transition Faces When Teaching a High School Geometry Class , Greg Brough Henry

Discovering the Derivative Can Be "Invigorating:" Mark's Journey to Understanding Instantaneous Velocity , Charity Ann Gardner Hyer

Theses/Dissertations from 2006 2006

How a Master Teacher Uses Questioning Within a Mathematical Discourse Community , Omel Angel Contreras

Determining High School Geometry Students' Geometric Understanding Using van Hiele Levels: Is There a Difference Between Standards-based Curriculum Students and NonStandards-based Curriculum Students? , Rebekah Loraine Genz

The Nature and Frequency of Mathematical Discussion During Lesson Study That Implemented the CMI Framework , Andrew Ray Glaze

Second Graders' Solution Strategies and Understanding of a Combination Problem , Tiffany Marie Hessing

What Does It Mean To Preservice Mathematics Teachers To Anticipate Student Responses? , Matthew M. Webb

Theses/Dissertations from 2005 2005

Fraction Multiplication and Division Image Change in Pre-Service Elementary Teachers , Jennifer J. Cluff

An Examination of the Role of Writing in Mathematics Instruction , Amy Jeppsen

Theses/Dissertations from 2004 2004

Reasoning About Motion: A Case Study , Tiffini Lynn Glaze

Theses/Dissertations from 2003 2003

An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford

Advanced Search

• Notify me via email or RSS

ScholarsArchive ISSN: 2572-4479

• Collections
• Disciplines
• Scholarly Communication
• Additional Collections
• Academic Research Blog

Author Corner

Hosted by the.

• Harold B. Lee Library

Home | About | FAQ | My Account | Accessibility Statement

Privacy Copyright

Recent PhD Theses - Applied Mathematics

  2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014  | 2015 | 2016  | 2017 | 2018  | 2019  | 2022 | 2023 | 2024

PhD Theses 2024

Phd theses 2023, phd theses 2022, phd theses 2019, phd theses 2018, phd theses 2017, phd theses 2016, phd theses 2015, phd theses 2014, phd theses 2013, phd theses 2012, phd theses 2011, phd theses 2010, phd theses 2009, phd theses 2008, phd theses 2007.

The Department of Mathematics and Computer Science offers a program of graduate study leading to a Master of Science degree in the field of Mathematics. The program is designed to increase competence in the core mathematical fields of linear algebra, topology, and analysis. The student will complete a project or thesis pertaining to an area of interest to the student under the direction of an advisor. If a student elects for the thesis option, submission of a written manuscript and an oral defense of their thesis work is required. If a student elects for the project option, submission of a written manuscript is required. If a student elects for the actuarial project option, they must pass two internal or external professional actuarial exams not already passed. The program is designed to prepare the student for creative professional work in mathematics, to teach mathematics at the post-secondary level, or for further study at the doctoral level.

*Accelerated 4+1 Mathematics

Undergraduate Mathematics students

• in their third year of program can take one graduate-level course per semester
• in their fourth year of program, students can take up to two graduatel-level courses per semester

The graduate courses will not count toward undergraduate degree or course/credit requirements

Upon completion of the undergraduate degree and accepted application to the College of Graduate Studies and Research, the graduate courses will count toward the MS in Mathematics

Admission Requirements

• Comply with the regular  Admission Requirements    of the College of Graduate Studies and Research, which includes an undergraduate grade point average of 3.0, and
• have a bachelor’s degree in mathematics or equivalent.

All Applicants must submit:

• Graduate admission  application  and fee.  
• Official transcripts from all previously attended post-secondary institutions.
• Two letters of recommendation.

Application Due Dates

Rolling admissions for Fall and Winter semesters.

MS in Mathematics Curriculum

For department information or additional degree requirements, go to the Mathematics and Computer Sciences    department page.

Total Credits Required 32 Credits

Required courses 12 credits.

• MA 511 - Advanced Linear Algebra Credits: 4
• MA 513 - Analysis: Real and Complex Credits: 4
• MA 516 - Topology Credits: 4

Elective Courses 12 Credits

• MA 521 - Topics in Algebra Credits: 4
• MA 541 - Topics in Geometry Credits: 4
• MA 563 - Topics in Analysis Credits: 4
• MA 565 - Topics in Foundations Credits: 4
• MA 570 - Mathematical Finance Credits: 4
• MA 571 - Probability Credits: 4
• MA 595 - Special Topics in Mathematics Credits: 1-4

Research and Capstone 8 Credits

Choose one of the following options:

Option 1 (Thesis)

• MA 589 - Research in Mathematics Credits: 1-4
• MA 599 - Thesis in Mathematics Credits: 1-4

Option 2 (Project)

• MA 594 - Project in Mathematics Credits: 1-4

Option 3 (Actuarial Project)

• MA 580 - Study in Actuarial Mathematics Credits: 1-4

Graduation Requirements

Graduates must meet the  requirements    of the College of Graduate Studies as outlined in the Graduate Bulletin in addition to the following:

• Complete the minimum number of credits for the degree 
• Maintain a 3.0 GPA
• Successfully complete capstone project or thesis