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2020 | Brauer, Ethan | Miller, Christopher | |
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2018 | Gegner, Ethan | Leibman, Alexander | |
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2016 | Yang, Fan | Miller, Christopher | |
2015 | Chen, Huachen | Cogdell, James | |
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2014 | Kosek, Peter | Kahle, Matthew | |
2013 | Reeder, Patrick | Sinnott, Warren | |
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2012 | Ward, Peter | Costin, Rodica | |
2010 | Florio, Salvatore | Friedman, Harvey | |
2010 | Taliotis, Anastasios | Gerlach, Ulrich | |
2008 | Berry, Tyrus | Pittel, Boris | |
2008 | Maceli, Peter | Carlson, Timothy | |
2008 | Siebert, Kitzeln | Edgar, Gerald | |
2008 | Volynin, Ilya | Leibman, Alexander |
Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations
Theses/projects/dissertations from 2024 2024.
On Cheeger Constants of Knots , Robert Lattimer
Information Based Approach for Detecting Change Points in Inverse Gaussian Model with Applications , Alexis Anne Wallace
DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS , Hytham Abdelkarim
An Exposition of the Curvature of Warped Product Manifolds , Angelina Bisson
Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves , Anton Butenko
MATHEMATICS BEHIND MACHINE LEARNING , Rim Hammoud
Statistical Analysis of Health Habits for Incoming College Students , Wendy Isamara Lizarraga Noriega
Reverse Mathematics of Ramsey's Theorem , Nikolay Maslov
Distance Correlation Based Feature Selection in Random Forest , Jose Munoz-Lopez
Constructing Hyperbolic Polygons in the Poincaré Disk , Akram Zakaria Samweil
KNOT EQUIVALENCE , Jacob Trubey
SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS , Diddier Andrade
The Examination of the Arithmetic Surface (3, 5) Over Q , Rachel J. Arguelles
Error Terms for the Trapezoid, Midpoint, and Simpson's Rules , Jessica E. Coen
de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence , Stacey Elizabeth Cox
Symmetric Generation , Ana Gonzalez
SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Samar Mikhail Kasouha
Simple Groups and Related Topics , Simrandeep Kaur
Homomorphic Images and Related Topics , Alejandro Martinez
LATTICE REDUCTION ALGORITHMS , Juan Ortega
THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS , Katelyn Sage Risinger
Verifying Sudoku Puzzles , Chelsea Schweer
AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY , Travis Severns
Non-Abelian Finite Simple Groups as Homomorphic Images , Sandra Bahena
Matroids Determinable by Two Partial Representations , Aurora Calderon Dojaquez
SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS , Connie Corona
Symmetric Presentation of Finite Groups, and Related Topics , Marina Michelle Duchesne
MEASURE AND INTEGRATION , JeongHwan Lee
A Study in Applications of Continued Fractions , Karen Lynn Parrish
Partial Representations for Ternary Matroids , Ebony Perez
Sum of Cubes of the First n Integers , Obiamaka L. Agu
Permutation and Monomial Progenitors , Crystal Diaz
Tile Based Self-Assembly of the Rook's Graph , Ernesto Gonzalez
Research In Short Term Actuarial Modeling , Elijah Howells
Hyperbolic Triangle Groups , Sergey Katykhin
Exploring Matroid Minors , Jonathan Lara Tejeda
DNA COMPLEXES OF ONE BOND-EDGE TYPE , Andrew Tyler Lavengood-Ryan
Modeling the Spread of Measles , Alexandria Le Beau
Symmetric Presentations and Related Topics , Mayra McGrath
Minimal Surfaces and The Weierstrass-Enneper Representation , Evan Snyder
ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS , Edima Umanah
Excluded minors for nearly-paving matroids , Vanessa Natalie Vega
Fuchsian Groups , Bob Anaya
Tribonacci Convolution Triangle , Rosa Davila
VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS , Brian Matthew Friday
Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle , Lacey Taylor James
Geodesics on Generalized Plane Wave Manifolds , Moises Pena
Algebraic Methods for Proving Geometric Theorems , Lynn Redman
Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle , Antonio Saucedo Jr.
THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE , Edward Simons
CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM , Ty Stockham
PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS , Diana Aguirre
Monomial Progenitors and Related Topics , Madai Obaid Alnominy
Progenitors Involving Simple Groups , Nicholas R. Andujo
Simple Groups, Progenitors, and Related Topics , Angelica Baccari
Exploring Flag Matroids and Duality , Zachary Garcia
Images of Permutation and Monomial Progenitors , Shirley Marina Juan
MODERN CRYPTOGRAPHY , Samuel Lopez
Progenitors, Symmetric Presentations, and Related Topics , Joana Viridiana Luna
Symmetric Presentations, Representations, and Related Topics , Adam Manriquez
Toroidal Embeddings and Desingularization , LEON NGUYEN
THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS , Jesus Nolasco
Tutte-Equivalent Matroids , Maria Margarita Rocha
Symmetric Presentations and Double Coset Enumeration , Charles Seager
MANUAL SYMMETRIC GENERATION , Joel Webster
Investigation of Finite Groups Through Progenitors , Charles Baccari
CONSTRUCTION OF HOMOMORPHIC IMAGES , Erica Fernandez
Making Models with Bayes , Pilar Olid
An Introduction to Lie Algebra , Amanda Renee Talley
SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS , Ulyses Velasco
CONSTRUCTION OF FINITE GROUP , Michelle SoYeong Yeo
Upset Paths and 2-Majority Tournaments , Rana Ali Alshaikh
Regular Round Matroids , Svetlana Borissova
GEODESICS IN LORENTZIAN MANIFOLDS , Amir A. Botros
REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING , Gina Marie Cheney
Solving Absolute Value Equations and Inequalities on a Number Line , Melinda A. Curtis
BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS , Lucille J. Durfee
ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS , Genelle Elizabeth Gonzalez
LIFE EXPECTANCY , Ali R. Hassanzadah
PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS , Sean M. Hearon
A Dual Fano, and Dual Non-Fano Matroidal Network , Stephen Lee Johnson
Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity , Nitish Mittal
The Kauffman Bracket and Genus of Alternating Links , Bryan M. Nguyen
Probabilistic Methods In Information Theory , Erik W. Pachas
THINKING POKER THROUGH GAME THEORY , Damian Palafox
Indicators of Future Mathematics Proficiency: Literature Review & Synthesis , Claudia Preciado
Ádám's Conjecture and Arc Reversal Problems , Claudio D. Salas
AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn
The Evolution of Cryptology , Gwendolyn Rae Souza
SYMMETRIC PRESENTATIONS AND RELATED TOPICS , Mashael U. Alharbi
Homomorphic Images And Related Topics , Kevin J. Baccari
Geometric Constructions from an Algebraic Perspective , Betzabe Bojorquez
Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity , Tamara V. Bonn
Symmetric Presentations and Generation , Dustin J. Grindstaff
HILBERT SPACES AND FOURIER SERIES , Terri Joan Harris Mrs.
SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS , Leonard B. Lamp
Simple Groups and Related Topics , Manal Abdulkarim Marouf Ms.
Elliptic Curves , Trinity Mecklenburg
A Fundamental Unit of O_K , Susana L. Munoz
CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES , Jessica Luna Ramirez
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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 Master’s Thesis Proposal and Advisor Form.pdf , 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.pdf .
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.
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.
Doctoral theses, graduate theses, undergraduate theses, recent submissions.
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The thesis should be the heart of your graduate school career. It will certainly be the most involved and difficult thing you do while in grad school.
Of course, before writing the thesis, one needs to have research to report. To make things easier on yourself, it’s a good idea to record your results as you work. Don’t rely on your memory to save you when you need to write everything down in your thesis! While you needn’t have everything written in final draft, having a detailed account of your research progress is a great idea. When you start your research, you and your advisor should try to establish a goal for your thesis as soon as possible. Performing research without a goal can be very difficult and even more frustrating.
When one does mathematical research, one rarely knows exactly where they are going. Gaining mathematical intuition comes from lots of hard work, not simply being very smart. A tried and true method for doing research is to do lots of examples, and make simplifying assumptions when needed. Before you can prove a theorem, you need a conjecture; these aren’t going to just fall in your lap! The idea is that after seeing enough examples, one can make a general conjecture and then hopefully prove it.
It’s a good idea to find out who else in the community (both in and out of the department) thinks about your field. You may find it useful to contact these people from time to time. This serves multiple purposes: you’ll lessen the chance of duplicating someone else’s research; you’ll find multiple sources of advice. While your advisor will likely be the single biggest source of help in writing your thesis, they needn’t be your only source. Talking to many people about your work will give you several different perspectives on the same thing. Seeing the same thing in different ways can be invaluable in understanding something.
When you have enough results such that you and your advisor are satisfied, you need to organize your work into one coherent document. This can be a highly non-trivial task! Make sure that your problem is stated clearly, along with why it is important, and how you solved it. Your thesis shouldn’t simply be a list of definitions, theorems, and proofs; there should be quite a bit of prose to explain the mathematical ambiance of your work. What is the motivation for even thinking about this problem? The more people that find your research interesting, the better.
Please refer to this manual for guidelines on formatting your thesis: http://grad.ucsd.edu/_files/academics/BlueBook%202017-18%20updated%204.13.18.pdf
Setting a time to defend your dissertation can be frustrating. Contact your committee members well in advance in order to check availability and schedule a date/time.
You would think that finding a time for 6 people to meet would be an easy task. However, it can be exceedingly difficult. You may need to be very flexible and accommodating in order to make things work. You may also need to be persistent about asking if you have a non-responsive committee member.
Please carefully review these guidelines regarding committee attendance:
Department Policy on Graduate Examination Format:
Effective Fall 2022, the default format of a graduate examination in the Mathematics Department is in person , i.e., all the committee members and the student are physically present in the same room for a scheduled examination . (This is set by the Division of GEPA.) However, when an unexpected situation arises and affects a committee member’s ability to participate in the examination synchronously, and when the student agrees, a remote or hybrid examination is allowed and can be decided by the committee chair or co-chairs. The following guidelines should be followed to arrange a remote or hybrid, synchronous examination:
Make sure to inform the PhD staff advisor in advance if any of your committee members will not be physically present.
During this scheduling phase, you also want to schedule your “Preliminary Appointment” with Graduate Division: https://gradforms.ucsd.edu/calendar/index.php – this appointment is optional but highly recommended! The purpose of this appointment is for them to check the margins and the formatting of your dissertation. While the above information should get you through this part without any problem, sometimes there are minor issues that arise and must be confronted (for example, published work that shows up in your dissertation has some extra requirements associated to it). The meeting should last about 30 minutes and you’ll receive a couple questionnaires to complete before your final appointment. You will also be required to schedule a Final Appointment with Graduate Division – allow at least a few days between your defense and your final appointment in order to finalize department paperwork.
In addition, the following information is critical to you completing your thesis, defending it, and completing your PhD:
A few other suggestions:
About a week before you defend, you should send an email to your committee to remind them that your defense is coming, and you might even want to send a day-before or day-of reminder.
You should discuss the details of your defense with your advisor, but it’s basically a 50-minute talk where you highlight the main results of your dissertation. The audience is usually your committee plus a few graduate students.
Once Graduate Division has signed off on your thesis, it is time to submit your thesis online to Proquest/UMI. When you do this, they give you an option to purchase bound copies of your thesis from them. This is not particularly appealing for three reasons:
Fortunately, another option is available: self-publishing services. Originally these were intended for authors who had written a book, but couldn’t find a publisher for it, so they’d have it printed at their own expense. Nowadays, there are online sites filling this market, where you submit your manuscript and design the book yourself through their site. They can print on demand, so there is no minimum number of copies to order, and they can be quite inexpensive. A former graduate student, Nate Eldredge, chose to go with Lulu, so this article will describe that service.
You can begin by creating an account on Lulu’s site, which is pretty self-explanatory. They have several different book types available. I decided to go with a 6×9 “casewrap hardcover”, which is a pretty standard size and style for a book. If you have a yellow Springer book on your shelf, that’s a pretty good facsimile of what we’re talking about here.
The main issue, then, is reformatting the thesis into a 6×9 format. Fortunately, LaTeX makes this pretty easy. Pretty much, you just need to swich from the UCSD thesis class to the standard LaTeX book class and make a few other changes. Here is a modified version of the UCSD thesis template, modified to fit this format. Nate put comments in various places indicating the relevant changes and choices he made. In several places he took advantage of the fact that he no longer had to conform to OGS’s awkward requirements to make the thesis more “book-like” and remove some things that wouldn’t appear in a book. It shouldn’t take you more than an hour or two to convert your thesis file, depending how fastidious you are. (If you don’t want to go to this trouble, Lulu will also print 8.5×11 books. You could use your existing PDF without change. It may not look as pretty, but it will still be cheaper than UMI.)
Note that you should check carefully for overfull \hbox’es when you compile the thesis, because changing the paper size may have caused things to run outside the margins or off the page. You may have to manually break up long equations or reword paragraphs. Also, the book class will insert several apparently blank pages; these relate to the fact that the book will be printed double-sided, and guarantee that certain things always appear on the left- or right-hand side of a spread. If you want a book-like effect, you should not try to defeat this.
Once you’ve generated an appropriate 6×9 PDF file and uploaded it to Lulu, you can design a cover for it. They have a couple of different interfaces. For his thesis, Nate created a pretty simple cover with a UCSDish blue color scheme, and the abstract and a graduation photo on the back cover.
When you are all finished, Lulu creates a page where you or anyone else can buy copies of the book. (You have the option of keeping this private, so that only people you share it with can find it.) Then you can buy as many copies as you want to keep or give away, and you can also send the link to your parents if they want to buy lots of copies for all the relatives. (In this case, Lulu’s “revenue” option may be useful, where you select an amount to add to the price of the book, which Lulu passes along to you after each sale. The page remains up indefinitely if you want more copies later.
If you want to see what a finished product looks like, Nate Eldredge’s thesis Lulu page is located at http://www.lulu.com/content/7559872.
The book turned out quite nice looking, with quality and appearance comparable to commercially published math books. And they were only $15.46 per copy (plus tax and shipping). Overall that is a vast improvement over UMI.
Also, Nate uploaded the template as a Lulu project. It can be found at http://www.lulu.com/content/7686303.
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Home > USC Columbia > Arts and Sciences > Mathematics > 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
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
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
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
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
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
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
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
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
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
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
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
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Digital Commons @ USF > College of Arts and Sciences > Mathematics and Statistics > Theses and Dissertations
Theses/dissertations from 2024 2024.
The Effect of Fixed Time Delays on the Synchronization Phase Transition , Shaizat Bakhytzhan
On the Subelliptic and Subparabolic Infinity Laplacian in Grushin-Type Spaces , Zachary Forrest
Utilizing Machine Learning Techniques for Accurate Diagnosis of Breast Cancer and Comprehensive Statistical Analysis of Clinical Data , Myat Ei Ei Phyo
Quandle Rings, Idempotents and Cocycle Invariants of Knots , Dipali Swain
Comparative Analysis of Time Series Models on U.S. Stock and Exchange Rates: Bayesian Estimation of Time Series Error Term Model Versus Machine Learning Approaches , Young Keun Yang
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
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
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
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
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
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
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
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
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
Properties of Graphs Used to Model DNA Recombination , Ryan Arredondo
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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.
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:
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I am writing a master thesis in pure mathematics the upcoming year and want to know what graders look for in a master thesis. I am in the US.
How do they grade the thesis? What are the things that can potentially lower my grade and what should I look out for?
Basically, in a pure mathematics master thesis they won't be expecting original research, and since I will be copying everything from the books in the bibliography, how can this go wrong?
I assume the presentation must also play a role, as for the grader to know whether I mindlessly copied the content without understanding the concepts or if I understood the topic.
Can you explain what the graders are looking for in a pure mathematics master thesis in order for me to ace the thesis?
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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
Amanda Hynes - Slow and superfast diffusion of contaminant species through porous media
Emine Akkus - Estimating forecast error covariance matrices with ensembles
Rabindra Gurung - Numerical solution of an ODE system arising in photosynthesis
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
Yu Chau Lam - Drag and Momentum Fluxes Produced by Mountain Waves
Josie Dodd - A Moving Mesh Approach to Modelling the Grounding Line in Glaciology
Chris Louder - Mathematical Techniques of Image Processing
Jonathan Muir - Flux Modelling of Polynyas
Naomi Withey - Computer Simulations of Dipolar Fluids Using Ewald Summations
Jean-Francois Vuillaume - Numerical prediction of flood plains using a Lagrangian approach
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
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
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
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
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
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
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
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
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)
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)
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
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
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
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
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
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
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
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
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
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
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
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.
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.
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.
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.
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.
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.
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 .
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 .
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 .
K.J. Neylon - Block iterative methods for three-dimensional groundwater flow models .
Universität Bonn
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.
The teacher training programs also end with a final thesis. This can be completed in the subject mathematics.
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.
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 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:
Options for submitting the thesis:
The thesis is evaluated by two assessors.
As a rule, the candidate is notified of the thesis' evaluation six to eight weeks after the submission date.
The working period of a Bachelor's thesis is five months.
The text part of the Bachelor's thesis must be between 5 and 50 pages long.
The language of the Bachelor's degree program is German. You can write your Bachelor's thesis in English if
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.
After you have taken part in a course, we will enter the coursework as passed in BASIS.
The title page of your Bachelor's thesis must be agreed with your supervisor.
The submission deadline for the Bachelor's thesis is 5 months after the date on which the supervisor signed the application.
The working period of a Master's thesis is twelve months.
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 title page of your Master's thesis must be agreed with your supervisor.
The submission deadline for the Master's thesis is 12 months after the date on which the supervisor signed the application.
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.
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 submit the form promptly, as the original receipts are only valid for 6 months.
This is the second in a two-course sequence (EN.625.803 and EN.625.804) designed for students in the master’s program who wish to work with a faculty advisor to conduct significant, original independent research in the field of applied and computational mathematics. (Each course is one semester.) A sequence may be used to fulfill two courses within the 700-level course requirements for the master’s degree; only one sequence may count toward the degree. For sequence 625.803 and 625.804, the student is to produce a bound hard-copy thesis for submission to the JHU library and an electronic version of the thesis based on standards posted at https://www.library.jhu.edu/library-services/electronic-theses-dissertations/. (The student is also encouraged to write a technical paper for publication based on the thesis.) The intent of the research is to expand the body of knowledge in the broad area of applied mathematics, with the research leading to professional-quality documentation. Students with a potential interest in pursuing a doctoral degree at JHU, or another university, should consider enrolling in either this sequence or EN.625.801 and EN.625.802 to gain familiarity with the research process. (Doctoral intentions are not a requirement for enrollment.) Course Note(s): The course EN.625.800 Independent Study may not be used towards the ACM M.S. if the student also wishes to count EN.625.803–804 towards the M.S. degree. A full description of the guidelines (which includes the list of approved ACM research faculty) and the approval form can be found at https://ep.jhu.edu/current-students/student-forms/.
Course offerings.
There are no sections currently offered, however you can view a sample syllabus from a prior section of this course.
Search form.
Theses at Penn (masters and Ph.D.) must be submitted according to the official university guidelines .
The following style files can serve as a guide in preparing masters or doctoral theses in the correct format. (You should still check the official university website listed above, to see other details and to adjust to any changes that may have been made.)
Sign up for May 2024 Graduation is now open. Apply for degree at https://srfs.upenn.edu/student-records/GradApp . View the Graduation Calendar for more information.
Student projects and theses, student projects.
If interested please contact the lecturer offering the project.
Note: Most projects are suitable for both students of mathematics and computational science and engineering.
Our research group focuses on the study of stability and regularization of ill-posed problems which arise in various applications. For such problems conventional solvers yield unreliable outputs, so that regularization techniques are necessary to produce trustworthy solutions. Research topics include medical imaging, phase retrieval (with application in coherent diffraction imaging and audio processing) and the vulnerability of deep neural networks. Theses projects on these topics are available, with possible emphasis on either implementation or analysis.
Our goal is to develop new mathematical models and methods of broad utility to science and engineering and to make fundamental advances in the mathematical and physical sciences themselves. We have been developing mathematical and computational frameworks to achieve super-resolution in biomedical imaging. Our work on biomimetics focuses on elucidating mechanisms exploited by bats and weakly electric fish for imaging. Nanophotonics is the study of electromagnetic wave phenomena in media structured on the same lengthscale as the wavelength, and is also a very active area of study in our group. Thesis projects on these current topics of research are available on request.
List of projects see here
The research of the group of S. Mishra focuses on the design, analysis and efficient implementation on state of the art high performance computing platforms, of robust numerical methods for nonlinear partial differential equations, particularly of the hyperbolic type, and their application in fluid dynamics, plasma physics, astrophysics, climate science and geophysics. We also address fundamental mathematical questions of well-posedness of nonlinear hyperbolic PDEs, particularly in the context of novel solution frameworks such as statistical solutions. Numerical methods, of the finite volume, finite difference, spectral and discontinuous Galerkin finite element type are developed in the group. Another focus area is on computational uncertainty quantification i.e efficient calculation of uncertainties in the solutions of PDEs that are driven by stochastic initial/boundary conditions, parameters and chaotic dynamics. Student projects for Bachelor, semester and Masters thesis are available on the whole range of topics from addressing fundamental mathematical questions to the design of efficient algorithms, HPC implementation and interesting applications.
Student projects are available in Mathematical Analysis (error estimates) and Computer Implementation of efficient direct and inverse problem solution for deterministic and stochastic Partial Differential Equations with either many (several hundred) parameters, or with solutions on very high dimensional state- and phase spaces. Mathematical techniques comprise (but are not limited to): Numerical Analysis of Partial Differential Equations (Finite Element Galerkin discretizations) see, e.g. https://math.ethz.ch/sam/research/reports.html?id=1031 https://math.ethz.ch/sam/research/reports.html?id=2020-67 Sparse Grid and Polynomial Chaos techniques Mathematics of Deep Learning (neural network approximation theory, deep neural network training, etc.), for numerical PDE approximation see, e.g. https://math.ethz.ch/sam/research/reports.html?id=2021-40 https://math.ethz.ch/sam/research/reports.html?id=2022-11 Monte-Carlo and Quasi-Monte Carlo integration in high dimensions see, e.g. https://math.ethz.ch/sam/research/reports.html?id=2022-10 external page J. Dick and M. Longo and Ch. Schwab: Extrapolated Lattice Rule Integration in Computational Uncertainty Quantification, SIAM/ASA Journ. Uncertainty Quantification, 10/2 (2022), pp. 651-686 call_made All Projects are closely related to current research topics, and can be extended to MSc and PhD thesis projects.
Home > Physical and Mathematical Sciences > 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Reasoning About Motion: A Case Study , Tiffini Lynn Glaze
An Analysis of the Influence of Lesson Study on Preservice Secondary Mathematics Teachers' View of Self-As Mathematics Expert , Julie Stafford
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Master's Theses 2019. Cameron Meaney. Mathematical Modelling of Cancer Treatments Involving Radiation Therapy and Hypoxia-Activated Prodrugs. Jennie Newman. Model for the RE-TC thalamic circuit with application to childhood absence epilepsy. Jesse Legaspi.
9. I think this varies a lot. But for Germany your first question can be answers succinctly: In a Master's thesis you should show that you have potential for research. On the other hand, expectations vary a lot between advisors. But certainly you do not have to prove a new theorem or develop a new theory.
Tanveer, Saleh. 2020. Marrero Garcia, Hilary. A Geometric Analysis Approach to Distinguish Basal Serotonin Levels in Control and Depressed Mice. Best, Janet. 2020. Wood, Emily. Analysis of SIS Patch Model and Development of a Modified SEIR Model Applied to the Current Opiate Crisis. Lou, Yuan.
bio-mathematics: introduction to the mathematical model of the hepatitis c virus, lucille j. durfee. pdf. analysis and synthesis of the literature regarding active and direct instruction and their promotion of flexible thinking in mathematics, genelle elizabeth gonzalez. pdf. life expectancy, ali r. hassanzadah. pdf
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.pdf .
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.
625.803. Primary Program. Applied and Computational Mathematics. This is the first in a two-course sequence (EN.625.803 and EN.625.804) designed for students in the master's program who wish to work with a faculty advisor to conduct significant, original independent research in the field of applied and computational mathematics.
For all academic inquiries, please contact: Math Student Services C-36 Padelford Phone: (206) 543-6830 Fax: (206) 616-6974 [email protected]
Graduate, Masters Theses: Mathematical Biology: Browse by Fields of interest. Applied Linear Algebra. Applied Mathematics. Asymptotic Analysis. Atmospheric Sciences. Biochemistry. ... Support Applied Math LinkedIn Mailing List YouTube News Feed; Department of Applied Mathematics University of Washington Lewis Hall 201 Box 353925 Seattle, WA ...
The paper size used should be 8 1⁄2" by 11". The left margin should be 1.25 inches, and the top, bottom, and right margins should each be 1 inch. All pages should be numbered. The text should be double-spaced, except for quotations of five lines or longer, which should be single-spaced and indented. The text in the body of the thesis ...
Defending Your Thesis. Setting a time to defend your dissertation can be frustrating. Contact your committee members well in advance in order to check availability and schedule a date/time. You would think that finding a time for 6 people to meet would be an easy task. However, it can be exceedingly difficult.
Theses/Dissertations from 2021. PDF. Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington. PDF. Polynomials, Primes and the PTE Problem, Joseph C. Foster. PDF. Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat. PDF.
Mathematics and Statistics Theses and Dissertations . Follow. Jump to: Theses/Dissertations from 2023 PDF. Classification of Finite Topological Quandles and Shelves via Posets, Hitakshi Lahrani. PDF. Applied Analysis for Learning Architectures, Himanshu Singh. PDF.
Information in the syllabus. Form and products of the master's thesis. Regulations (PDF) Timeline (PDF) Correct Referencing (PDF) Information about the master's thesis on the web site of the Faculty. Scientific integrity at the faculty of science. Last update: Feb 09, 2024.
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 ...
In mine, a master's thesis in mathematics is very much expected to contain new results. - cheersmate. Jul 30, 2021 at 10:32. 1. USA, I forgot to mention this is about pure mathematics not applied, do universities in your country expect new results in pure math, I would imagine this to be very hard, that is to prove an unproved theorem that ...
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.
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.
Applied and Computational Mathematics Master's Thesis - 625.804. This is the second in a two-course sequence (EN.625.803 and EN.625.804) designed for students in the master's program who wish to work with a faculty advisor to conduct significant, original independent research in the field of applied and computational mathematics.
Style files (LaTeX) for theses at Penn Math. Theses at Penn (masters and Ph.D.) must be submitted according to the official university guidelines. The following style files can serve as a guide in preparing masters or doctoral theses in the correct format. (You should still check the official university website listed above, to see other ...
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
Student projects for Bachelor, semester and Masters thesis are available on the whole range of topics from addressing fundamental mathematical questions to the design of efficient algorithms, HPC implementation and interesting applications. ... Mathematics of Deep Learning (neural network approximation theory, deep neural network training, etc ...
Theses/Dissertations from 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 ...