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Definition to Remember:
- Thesis = Topic + Claim
Rules to Remember:
- A thesis statement is the main idea or subject of your paper, while a topic sentence is the main idea of a single paragraph. Sometimes the thesis may develop in your mind early in the writing process, and sometimes it will become more clear or shift as you work through the writing process.
- The thesis statement should be a single, concise sentence. An effective thesis statement has two parts: (1) the topic and (2) your claim about the topic.
- Your thesis is a contract that you establish with your readers. The voice, tone, assurances, and promises of your thesis must continue throughout the essay.
- An effective thesis statement should be as specific as possible and be limited enough to make it manageable. Keep your thesis statement specific enough to be adequately discussed within the length of your paper. If a thesis statement is too general or vague, it can be difficult to decide what to write about.
- Be wary of absolute words like all, none, everyone, no one, always, never in your thesis statement. If a reader can think of an exception to your absolute statement, he or she may set your entire argument aside. Be careful, too, to avoid claims that are too over-arching and, therefore, suspect.
- Your thesis should serve as an umbrella for the essay that follows. Every topic sentence for each of the body paragraphs must fit neatly beneath the umbrella, just as every item of evidence also must fit. If anything does not fit under the umbrella of your thesis, revise accordingly to either broaden or narrow your umbrella until the simple math works.
- Restate your topic as a question. If, for example, your topic is about the health and care of domestic cats, you might restate your topic as follows: Should domestic cats be permitted to roam freely in residential neighborhoods? Do you see how this restatement begins to give both your research and your writing better purpose?
- Answer your question with a single-sentence claim. An effective thesis statement (1) announces a topic and (2) states a claim. What assertion will you make about your topic and why? To answer our domestic cat question, we might assert the following: Domestic cats should only be permitted to roam freely in residential neighborhoods if they meet specific county-designated standards.
- Focus your thesis. Remember that the more specific you are, the easier it will be to effectively discuss and prove your thesis: Domestic cats should only be permitted to roam freely in residential neighborhoods if they have a chip inserted that identifies their home, homeowner, and vaccination record.  “Write succinctly. There is a better chance people will read and appreciate your thoughts.â Dr. Aimee Stone Cooper, Pastor
Common Errors:
- Assuming that the implied focus of an introduction is enough . Every essay must have a clear, concise thesis statement; never assume that your readers understand your intentions.
- Including a thesis that does not make a claim. With the advent of the internet, gone are the days when informational papers were a necessary exercise. Because most information is available at the touch of an app, your focus must be on the claim you intend to make about the topic you have chosen.
- Presenting a thesis that is too broad or too narrow. While the line between the two can be tenuous and difficult to locate, it is worth the effort. When a thesis is too broad, it is difficult to argue adequately without leaving notable holes in your rationale; when a thesis is too narrow, it can be challenging to find much at all to say to one another.
- Neglecting to revise the thesis umbrella as the project unfolds. The more flexible you are, the more successful your end result will be.
Exercise 10.1
Find three thesis statements from papers you have written in the past and list them here. If you walk each through the three-step process on item 6 above, how would each one fare? What changes would you make, and why?
Exercise 10.2
Select one thesis from 10.1. Draw or download an umbrella image, and write your thesis on or above the umbrella. Next, write one topic sentence from each paragraph of your essay vertically beneath the umbrella. Keep all information beneath the shape of the umbrella. As you consider your ideas, what revisions do you need to make? Do you need to broaden your thesis in order to encompass all that falls beneath? Or do you need to focus your thesis better, so your readers are able to immediately see the logic of the ideas that come under the umbrella? Are there topics under the umbrella that could be saved for another essay? Do you need additional evidence under the umbrella to strengthen your overall claim?
Exercise 10.3
Consider an essay or writing assignment you will need to complete in the next week, whether for school, work, or home. What is the topic? What is your claim about the topic? What specific evidence will you include? What will your thesis statement be? Use the progression below to aid your thinking:
Topic    â  Claim    â   Evidence    â   Thesis
The Simple Math of Writing Well Copyright © 2017 by Dr. Jennie A. Harrop is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License , except where otherwise noted.
Senior Thesis Guidelines
A senior thesis can form a valuable part of a student's experience in the Mathematics Major . It is intended to allow students to cover significant areas of mathematics not covered in course work, or not covered there in sufficient depth. The work should be independent and creative. It can involve the solution of a serious mathematics problem, or it can be an expository work, or variants of these. Both the process of doing independent research and mathematics exposition, as well as the finished written product and optional oral presentation, can have a lasting positive impact on a student's educational and professional future.
Supervision
Supervision by a qualified member of the field of mathematics at Cornell is the normal requirement for a senior thesis. Other arrangements are possible, however, provided they are made with the assistance of the student's major advisor, and with the approval of the Mathematics Major Committee.
Finding a supervisor/Encouraging students.
It should be emphasized that both the writing and the supervising of a senior thesis are optional activities, both for students and faculty. Students interested in doing this will need to find a suitable supervisor â perhaps with the aid of their major advisor or another faculty member whom they know. Advisors and other faculty who encounter students whom they think would benefit from this activity are invited to mention this option to them and assist them in finding a supervisor.
Standard venues for senior theses .
One obvious way in which a senior thesis can be produced is through an independent research course (MATH 4900); another way is through an REU experience, either at Cornell or elsewhere. (If the REU work was accomplished or initiated elsewhere, a "local expert" will still be needed to supervise or "vouch for" the work as a senior thesis.) In yet a third way, a student may present a faculty member with a solution or partial solution to an interesting problem. In such cases, this could form the core of a senior thesis. Faculty are invited to encourage such work from their students.
Public Lecture
A public lecture in which the results of the senior thesis are presented is welcome but optional. This should be arranged by the thesis supervisor in conjunction with the undergraduate coordinator and adequately advertised. Department faculty and graduate students are encouraged to attend these presentations.
Submission Deadlines
The supervisor must approve the student's thesis. The student will submit a completed first draft of the thesis to the thesis supervisor. If the supervisor asks the student to make changes, the student will have two weeks to do so and submit a PDF copy of the thesis in final form. The thesis will be posted on the department's web site.
For students graduating in December 2024 , the deadline for the first draft is Friday, November 22 and the final submission is due to the thesis supervisor and the undergraduate coordinator on Friday, December 6.
For students graduating in May 2025 , the deadline for the first draft is Friday, April 18 and the final submission is due to the thesis supervisor and the undergraduate coordinator on Friday, May 2.
Format of the Thesis
Ideally, the final document should be TeXed or prepared in some equivalent technical document preparation system. The document must have large left margins (one and one-half inches or slightly larger). The title page should contain:
The student's name and graduating class.
The title of the senior thesis.
The name of the faculty supervisor. (If there is more than one supervisor, list both. If one of the supervisors is not in the Mathematics Department, list the department and institution.)
The date of completion of the thesis.
This information will be used to produce a standard frontispiece page, which will be added to the document in its library copies.
Judgment as to the merit of a senior thesis will be based largely on the recommendation of the faculty member supervising the thesis. The Mathematics Major Committee will use this recommendation both in its determination of honors and in its decision on whether to place the thesis in our permanent library collection.
The senior thesis will automatically be considered by the Mathematics Major Committee as one of the ingredients for deciding on an honors designation for the student. Students may receive honors without a thesis and are not guaranteed honors with one. However, an excellent senior thesis combined with an otherwise excellent record can elevate the level of honors awarded.
Library Collection
Meritorious senior theses will be catalogued, bound, and stored in the Mathematics Library.
Guidelines for writing a thesis
These guidelines are intended for students writing a thesis or project report for a Third Year Project Course , Honours year  or Postgraduate Coursework Project . Postgraduate research students should see Information about Research Theses  for postgraduate research students.
Before you start your Honours or Project year, you should speak to members of staff about possible thesis topics. Find out who works in the areas that you are interested in and who you find it easy to talk mathematics with. If at all possible, settle on a topic and supervisor before the start of the first semester of your Honours or Project year.
Most students see their supervisor about once a week, although this is usually open to negotiation between the student and the supervisor. Even if you haven't done much between visits it is a good idea to have a regular chat so that your supervisor can keep track of how you are going. You can expect your supervisor to:
- Help you select - and modify - your topic.
- Direct you to useful references on your topic.
- Help explain difficult points.
- Provide feedback on the direction of your research.
- Read and comment on drafts of your thesis.
- Help prepare you for your talk.
- Give general course advice.
Your thesis or project report is an overview of what you have been studying in your Honours or Project year. Write it as if you were trying to explain the area of mathematics or statistics that you have been looking at to a fellow student.
- Include an introduction that explains what the project is all about, and what its contents are. (It is sometimes better to leave writing this part to the end!) For many reports, a conclusion or summary is appropriate.
- Your thesis should be a coherent, self-contained piece of work.
- Your writing should conform to the highest standards of English. Aim at clarity, precision and correct grammar. Start sentences with capital letters and end them with full-stops. Don't start sentences with a symbol.
- Take great care with bibliographic referencing. Wherever some material has an external source, this should be clear to the reader. Don't just write in the introduction: 'This report contains material from [1],[2] and [3]' -Â give the references for the material wherever it is used. Don't gratuitously pad your reference list with references that are not referred to in the text. Check current journals for acceptable referencing styles.
- Be careful not to plagiarise. What constitutes plagiarism is perhaps a little different in mathematics and statistics compared to some other subjects since there is a limit to how different you may be able to make a proof (at least in its basic structure). We do, however, expect the report to be written in your own words. A basic rule is: if you put a fact or an idea in your report which is not your own, the reader should be able to tell where you got this fact or idea.
- The University has policies on academic honesty and plagiarism  which all students should familiarise themselves with.
Generally, mathematics reports and theses are almost always typed in LaTeX. If you are going to type it yourself, you should allow a certain amount of time to become familiar with this software. Indeed, starting to learn LaTeX well before you actually want to write is a very good idea.
You should not underestimate the time it takes to produce a polished document. You will almost certainly need several drafts. It is very difficult to concentrate on getting the mathematics, spelling, grammar, layout, etc., all correct at once. Try getting another student to proofread what you have written - from their different viewpoint they may pick up on lots of things that you can't see.
P R Halmos (1970) in How to write mathematics, Enseignement Math.  ((2) 16, 123-152) has the following advice: "The basic problem in writing mathematics is the same as in writing biology, writing a novel, or writing directions for assembling a harpsichord: the problem is to communicate an idea. To do so, and to do it clearly:
- you must have something to say (i.e., some ideas), and you must have someone to say it to (i.e., an audience)
- you must organize what you want to say, and you must arrange it in the order you want it said in
- you must write it, rewrite it, and re-rewrite it several times
- and you must be willing to think hard about and work hard on mechanical details such as diction, notation, and punctuation.
That's all there is to it."
His other advice includes:
- Say something: "To have something to say is by far the most important ingredient of good exposition---so much so that if the idea is important enough, the work has a chance to be immortal even if it is confusingly misorganized and awkwardly expressed..... To get by one the first principle alone is, however, only rarely possible and never desirable."
- Audience: "The second principle of good writing is to write for someone. When you decide to write something, ask yourself who it is that you want to reach." Your broad audience will be fellow Masters and Honours students, who may not be experts in your thesis topic. "The author must anticipate and avoid the reader's difficulties. As he(/she) writes, he(/she) must keep trying to imagine what in the words being written may tend to mislead the reader, and what will set him(/her) right."
- Organise: "The main contribution that an expository writer can make is to organize and arrange the material so as to minimize the resistance and maximize the insight of the reader and keep him(/her) on the track with no unintended distractions".Â
- Think about the alphabet: "Once you have some kind of plan of organization, an outline, which may not be a fine one but is the best you can do, you are almost ready to start writing. The only other thing I would recommend that you do first is to invest an hour or two of thought in the alphabet; you'll find it saves many headaches later. The letters that are used to denote the concepts you'll discuss are worthy of thought and careful design. A good, consistent notation can be a tremendous help".
- Write in spirals: "The best way to start writing, perhaps the only way, is to write on the spiral plan. According to the spiral plan the chapters get written in the order 1,2,1,2,3,1,2,3,4 etc. You think you know how to write Chapter 1, but after you've done it and gone on to Chapter 2, you'll realize that you could have done a better job on Chapter 2 if you had done Chapter 1 differently. There is no help for it but to go back, do Chapter 1 differently, do a better job on Chapter 2, and then dive into Chapter 3... Chapter 3 will show up the weaknesses of Chapters 1 and 2".
- Write good English: "Good English style implies correct grammar, correct choice of words, correct punctuation, and, perhaps above all, common sense."
More information on how to write mathematics:
- Lee, K. A guide to writing mathematics
- Lee, K. Some notes on writing mathematicsÂ
- Jackson, M. Some notes on writing in mathematics
- Reiter, A. Writing a research paper in mathematics
- Honours thesis
- Postgraduate Coursework Project
- Third Year Project Courses
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- Knowledge Base
- How to Write a Thesis Statement | 4 Steps & Examples
How to Write a Thesis Statement | 4 Steps & Examples
Published on January 11, 2019 by Shona McCombes . Revised on August 15, 2023 by Eoghan Ryan.
A thesis statement is a sentence that sums up the central point of your paper or essay . It usually comes near the end of your introduction .
Your thesis will look a bit different depending on the type of essay you’re writing. But the thesis statement should always clearly state the main idea you want to get across. Everything else in your essay should relate back to this idea.
You can write your thesis statement by following four simple steps:
- Start with a question
- Write your initial answer
- Develop your answer
- Refine your thesis statement
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Table of contents
What is a thesis statement, placement of the thesis statement, step 1: start with a question, step 2: write your initial answer, step 3: develop your answer, step 4: refine your thesis statement, types of thesis statements, other interesting articles, frequently asked questions about thesis statements.
A thesis statement summarizes the central points of your essay. It is a signpost telling the reader what the essay will argue and why.
The best thesis statements are:
- Concise: A good thesis statement is short and sweetâdonât use more words than necessary. State your point clearly and directly in one or two sentences.
- Contentious: Your thesis shouldnât be a simple statement of fact that everyone already knows. A good thesis statement is a claim that requires further evidence or analysis to back it up.
- Coherent: Everything mentioned in your thesis statement must be supported and explained in the rest of your paper.
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See an example
The thesis statement generally appears at the end of your essay introduction or research paper introduction .
The spread of the internet has had a world-changing effect, not least on the world of education. The use of the internet in academic contexts and among young people more generally is hotly debated. For many who did not grow up with this technology, its effects seem alarming and potentially harmful. This concern, while understandable, is misguided. The negatives of internet use are outweighed by its many benefits for education: the internet facilitates easier access to information, exposure to different perspectives, and a flexible learning environment for both students and teachers.
You should come up with an initial thesis, sometimes called a working thesis , early in the writing process . As soon as you’ve decided on your essay topic , you need to work out what you want to say about itâa clear thesis will give your essay direction and structure.
You might already have a question in your assignment, but if not, try to come up with your own. What would you like to find out or decide about your topic?
For example, you might ask:
After some initial research, you can formulate a tentative answer to this question. At this stage it can be simple, and it should guide the research process and writing process .
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Now you need to consider why this is your answer and how you will convince your reader to agree with you. As you read more about your topic and begin writing, your answer should get more detailed.
In your essay about the internet and education, the thesis states your position and sketches out the key arguments you’ll use to support it.
The negatives of internet use are outweighed by its many benefits for education because it facilitates easier access to information.
In your essay about braille, the thesis statement summarizes the key historical development that you’ll explain.
The invention of braille in the 19th century transformed the lives of blind people, allowing them to participate more actively in public life.
A strong thesis statement should tell the reader:
- Why you hold this position
- What they’ll learn from your essay
- The key points of your argument or narrative
The final thesis statement doesn’t just state your position, but summarizes your overall argument or the entire topic you’re going to explain. To strengthen a weak thesis statement, it can help to consider the broader context of your topic.
These examples are more specific and show that you’ll explore your topic in depth.
Your thesis statement should match the goals of your essay, which vary depending on the type of essay you’re writing:
- In an argumentative essay , your thesis statement should take a strong position. Your aim in the essay is to convince your reader of this thesis based on evidence and logical reasoning.
- In an expository essay , you’ll aim to explain the facts of a topic or process. Your thesis statement doesn’t have to include a strong opinion in this case, but it should clearly state the central point you want to make, and mention the key elements you’ll explain.
If you want to know more about AI tools , college essays , or fallacies make sure to check out some of our other articles with explanations and examples or go directly to our tools!
- Ad hominem fallacy
- Post hoc fallacy
- Appeal to authority fallacy
- False cause fallacy
- Sunk cost fallacy
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- Choosing Essay Topic
- Write a College Essay
- Write a Diversity Essay
- College Essay Format & Structure
- Comparing and Contrasting in an Essay
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A thesis statement is a sentence that sums up the central point of your paper or essay . Everything else you write should relate to this key idea.
The thesis statement is essential in any academic essay or research paper for two main reasons:
- It gives your writing direction and focus.
- It gives the reader a concise summary of your main point.
Without a clear thesis statement, an essay can end up rambling and unfocused, leaving your reader unsure of exactly what you want to say.
Follow these four steps to come up with a thesis statement :
- Ask a question about your topic .
- Write your initial answer.
- Develop your answer by including reasons.
- Refine your answer, adding more detail and nuance.
The thesis statement should be placed at the end of your essay introduction .
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3.1: Thesis Statements
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- Jennie A. Harrop
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The thesis statement should be a single, concise sentence. An effective thesis statement has two parts: (1) the topic and (2) your claim about the topic. [Image: Edu Lauton | Unsplash ]
Definition to Remember:
- Thesis = Topic + Claim
Rules to Remember:
- A thesis statement is the main idea or subject of your paper, while a topic sentence is the main idea of a single paragraph. Sometimes the thesis may develop in your mind early in the writing process, and sometimes it will become more clear or shift as you work through the writing process.
- The thesis statement should be a single, concise sentence. An effective thesis statement has two parts: (1) the topic and (2) your claim about the topic.
- Your thesis is a contract that you establish with your readers. The voice, tone, assurances, and promises of your thesis must continue throughout the essay.
- An effective thesis statement should be as specific as possible and be limited enough to make it manageable. Keep your thesis statement specific enough to be adequately discussed within the length of your paper. If a thesis statement is too general or vague, it can be difficult to decide what to write about.
- Be wary of absolute words like all, none, everyone, no one, always, never in your thesis statement. If a reader can think of an exception to your absolute statement, he or she may set your entire argument aside. Be careful, too, to avoid claims that are too over-arching and, therefore, suspect.
- Your thesis should serve as an umbrella for the essay that follows. Every topic sentence for each of the body paragraphs must fit neatly beneath the umbrella, just as every item of evidence also must fit. If anything does not fit under the umbrella of your thesis, revise accordingly to either broaden or narrow your umbrella until the simple math works.
- Restate your topic as a question. If, for example, your topic is about the health and care of domestic cats, you might restate your topic as follows: Should domestic cats be permitted to roam freely in residential neighborhoods? Do you see how this restatement begins to give both your research and your writing better purpose?
- Answer your question with a single-sentence claim. An effective thesis statement (1) announces a topic and (2) states a claim. What assertion will you make about your topic and why? To answer our domestic cat question, we might assert the following: Domestic cats should only be permitted to roam freely in residential neighborhoods if they meet specific county-designated standards.
- Focus your thesis. Remember that the more specific you are, the easier it will be to effectively discuss and prove your thesis: Domestic cats should only be permitted to roam freely in residential neighborhoods if they have a chip inserted that identifies their home, homeowner, and vaccination record. “Write succinctly. There is a better chance people will read and appreciate your thoughts.” Dr. Aimee Stone Cooper, Pastor
Common Errors:
- Assuming that the implied focus of an introduction is enough . Every essay must have a clear, concise thesis statement; never assume that your readers understand your intentions.
- Including a thesis that does not make a claim. With the advent of the internet, gone are the days when informational papers were a necessary exercise. Because most information is available at the touch of an app, your focus must be on the claim you intend to make about the topic you have chosen.
- Presenting a thesis that is too broad or too narrow. While the line between the two can be tenuous and difficult to locate, it is worth the effort. When a thesis is too broad, it is difficult to argue adequately without leaving notable holes in your rationale; when a thesis is too narrow, it can be challenging to find much at all to say to one another.
- Neglecting to revise the thesis umbrella as the project unfolds. The more flexible you are, the more successful your end result will be.
Exercise 10.1
Find three thesis statements from papers you have written in the past and list them here. If you walk each through the three-step process on item 6 above, how would each one fare? What changes would you make, and why?
Exercise 10.2
Select one thesis from 10.1. Draw or download an umbrella image, and write your thesis on or above the umbrella. Next, write one topic sentence from each paragraph of your essay vertically beneath the umbrella. Keep all information beneath the shape of the umbrella. As you consider your ideas, what revisions do you need to make? Do you need to broaden your thesis in order to encompass all that falls beneath? Or do you need to focus your thesis better, so your readers are able to immediately see the logic of the ideas that come under the umbrella? Are there topics under the umbrella that could be saved for another essay? Do you need additional evidence under the umbrella to strengthen your overall claim?
Exercise 10.3
Consider an essay or writing assignment you will need to complete in the next week, whether for school, work, or home. What is the topic? What is your claim about the topic? What specific evidence will you include? What will your thesis statement be? Use the progression below to aid your thinking:
Topic → Claim → Evidence → Thesis
Senior Thesis
This page is for Undergraduate Senior Theses. For Ph.D. Theses, see here .
A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document â Honors in Mathematics â for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors: The document â Faculty research areas â lists the research interests of current members of the Math Department.
So that Math Department senior theses can more easily benefit other undergraduate, we would like to exhibit more senior theses online (while all theses are available through Harvard University Archives, it would be more convenient to have them online). It is absolutely voluntary, but if you decide to give us your permission, please send an electronic version of your thesis to cindy@math. The format can be in order of preference: DVI, PS, PDF. In the case of submitting a DVI format, make sure to include all EPS figures. You can also submit Latex or MS word source files.
If you are looking for information and advice from students and faculty about writing a senior thesis, look at this document. It was compiled from comments of students and faculty in preparation for, and during, an information session. Let Wes Cain ([email protected]) know if you have any questions not addressed in the document.
University of Missouri
College of Arts and Science
Mathematics
Thesis template.
The Graduate School's dissertation and thesis guidelines can be found here .
Below you can download Latex templates for writing dissertations.
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
TurĂĄn 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
TurĂĄn 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 LovĂĄsz 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
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research statement/proposal for a (pure-)math-PhD?
When applying for PhD programs outside your home university, the university you apply to usually requires a research statement from you.
However, this isn't the case when you reach out for a Bachelor's or Master's thesis topic to a professor you know from your home university (in mathematics). You would just approach a supervisor and express your interest in certain topics. They would provide you with various directions to choose from, and the exact problem you would work on may crystallize while working on your thesis. The same principle applies if you pursue your PhD at your home uni.
Nevertheless, when applying somewhere else outside your home uni, they will ask you for a statement.
How should this statement look like?
Typically, most students completing their master's thesis have no exact idea of what they will do in their PhD. They may only have a vague notion of the topics they like or an unspecific direction in which they want to focus.
I mean, how can they ever come up with a detailed research proposal?
Especially in pure math.
Since research in (pure) math is like being a blind man, in a dark room, looking for a black cat, which isn't there.
- research-process
- mathematics
- research-proposal
- 4 At least on the US, it is a personal statement, not a research proposal. Many applicants do not even know which area of mathematics they want to specialize in. – Moishe Kohan Commented Aug 12, 2023 at 17:19
- 3 It would help to know where you are. As Moishe points out, most US universities do not expect applicants to have past research, or to write a research statement---the point of the PhD program (in very broad and general terms) is to take students who have acquired knowledge but haven't conducted research, and turn them into researchers. – Xander Henderson Commented Aug 12, 2023 at 18:15
In my experience, a research statement has the intention to be a formal declaration of interest. The way in that this may be made is, at the beginning talk about you, your academic background and specific knowledge focus areas, and, in accordance with the field of the receiver, use the rest of the statement to prove knowledge about the work that is developed by and how your background and expertise can contribute to solving problems in the research. In that way can you demonstrate knowledge and interest more than a random search for opportunities.
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Not the answer you're looking for browse other questions tagged phd research-process mathematics thesis research-proposal ..
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Home > FACULTIES > Applied Mathematics > APMATHS-ETD
Applied Mathematics Theses and Dissertations
This collection contains theses and dissertations from the Department of Applied Mathematics, collected from the Scholarship@Western Electronic Thesis and Dissertation Repository
Theses/Dissertations from 2023 2023
Visual Cortical Traveling Waves: From Spontaneous Spiking Populations to Stimulus-Evoked Models of Short-Term Prediction , Gabriel B. Benigno
Spike-Time Neural Codes and their Implication for Memory , Alexandra Busch
Study of Behaviour Change and Impact on Infectious Disease Dynamics by Mathematical Models , Tianyu Cheng
Series Expansions of Lambert W and Related Functions , Jacob Imre
Data-Driven Exploration of Coarse-Grained Equations: Harnessing Machine Learning , Elham Kianiharchegani
Pythagorean Vectors and Rational Orthonormal Matrices , Aishat Olagunju
The Magnetic Field of Protostar-Disk-Outflow Systems , Mahmoud Sharkawi
A Highly Charged Topic: Intrinsically Disordered Proteins and Protein pKa Values , Carter J. Wilson
Population Dynamics and Bifurcations in Predator-Prey Systems with Allee Effect , Yanni Zeng
Theses/Dissertations from 2022 2022
A Molecular Dynamics Study Of Polymer Chains In Shear Flows and Nanocomposites , Venkat Bala
On the Spatial Modelling of Biological Invasions , Tedi Ramaj
Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models , Yuzhu Ruan
A Theoretical Perspective on Parasite-Host Coevolution with Alternative Modes of Infection , George N. Shillcock
Theses/Dissertations from 2021 2021
Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation , Gianfranco Bino
Mathematical Modelling of Ecological Systems in Patchy Environments , Ao Li
Credit Risk Measurement and Application based on BP Neural Networks , Jingshi Luo
Coevolution of Hosts and Pathogens in the Presence of Multiple Types of Hosts , Evan J. Mitchell
SymPhas: A modular API for phase-field modeling using compile-time symbolic algebra , Steven A. Silber
Population and Evolution Dynamics in Predator-prey Systems with Anti-predation Responses , Yang Wang
Theses/Dissertations from 2020 2020
The journey of a single polymer chain to a nanopore , Navid Afrasiabian
Exploration Of Stock Price Predictability In HFT With An Application In Spoofing Detection , Andrew Day
Multi-Scale Evolution of Virulence of HIV-1 , David W. Dick
Contraction Analysis of Functional Competitive Lotka-Volterra Systems: Understanding Competition Between Modified Bacteria and Plasmodium within Mosquitoes. , Nickolas Goncharenko
Phage-Bacteria Interaction and Prophage Sequences in Bacterial Genomes , Amjad Khan
The Effect of the Initial Structure on the System Relaxation Time in Langevin Dynamics , Omid Mozafar
Mathematical modelling of prophage dynamics , Tyler Pattenden
Hybrid Symbolic-Numeric Computing in Linear and Polynomial Algebra , Leili Rafiee Sevyeri
Abelian Integral Method and its Application , Xianbo Sun
Theses/Dissertations from 2019 2019
Algebraic Companions and Linearizations , Eunice Y. S. Chan
Algorithms for Mappings and Symmetries of Differential Equations , Zahra Mohammadi
Algorithms for Bohemian Matrices , Steven E. Thornton
A Survey Of Numerical Quadrature Methods For Highly Oscillatory Integrals , Jeet Trivedi
Theses/Dissertations from 2018 2018
Properties and Computation of the Inverse of the Gamma function , Folitse Komla Amenyou
Optimization Studies and Applications: in Retail Gasoline Market , Daero Kim
Models of conflict and voluntary cooperation between individuals in non-egalitarian social groups , Cody Koykka
Investigation of chaos in biological systems , Navaneeth Mohan
Bifurcation Analysis of Two Biological Systems: A Tritrophic Food Chain Model and An Oscillating Networks Model , Xiangyu Wang
Ecology and Evolution of Dispersal in Metapopulations , Jingjing Xu
Selected Topics in Quantization and Renormalization of Gauge Fields , Chenguang Zhao
Three Essays on Structural Models , Xinghua Zhou
Theses/Dissertations from 2017 2017
On Honey Bee Colony Dynamics and Disease Transmission , Matthew I. Betti
Simulation of driven elastic spheres in a Newtonian fluid , Shikhar M. Dwivedi
Feasible Computation in Symbolic and Numeric Integration , Robert H.C. Moir
Modelling Walleye Population and Its Cannibalism Effect , Quan Zhou
Theses/Dissertations from 2016 2016
Dynamics of Discs in a Nematic Liquid Crystal , Alena Antipova
Modelling the Impact of Climate Change on the Polar Bear Population in Western Hudson Bay , Nicole Bastow
A comparison of solution methods for Mandelbrot-like polynomials , Eunice Y. S. Chan
A model-based test of the efficacy of a simple rule for predicting adaptive sex allocation , Joshua D. Dunn
Universal Scaling Properties After Quantum Quenches , Damian Andres Galante
Modeling the Mass Function of Stellar Clusters Using the Modified Lognormal Power-Law Probability Distribution Function , Deepakshi Madaan
Bacteria-Phage Models with a Focus on Prophage as a Genetic Reservoir , Alina Nadeem
A Sequence of Symmetric BĂ©zout Matrix Polynomials , Leili Rafiee Sevyeri
Study of Infectious Diseases by Mathematical Models: Predictions and Controls , SM Ashrafur Rahman
The survival probability of beneficial de novo mutations in budding viruses, with an emphasis on influenza A viral dynamics , Jennifer NS Reid
Essays in Market Structure and Liquidity , Adrian J. Walton
Computation of Real Radical Ideals by Semidefinite Programming and Iterative Methods , Fei Wang
Studying Both Direct and Indirect Effects in Predator-Prey Interaction , Xiaoying Wang
Theses/Dissertations from 2015 2015
The Effect of Diversification on the Dynamics of Mobile Genetic Elements in Prokaryotes: The Birth-Death-Diversification Model , Nicole E. Drakos
Algorithms to Compute Characteristic Classes , Martin Helmer
Studies of Contingent Capital Bonds , Jingya Li
Determination of Lie superalgebras of supersymmetries of super differential equations , Xuan Liu
Edge states and quantum Hall phases in graphene , Pavlo Piatkovskyi
Evolution of Mobile Promoters in Prokaryotic Genomes. , Mahnaz Rabbani
Extensions of the Cross-Entropy Method with Applications to Diffusion Processes and Portfolio Losses , Alexandre Scott
Theses/Dissertations from 2014 2014
A Molecular Simulation Study on Micelle Fragmentation and Wetting in Nano-Confined Channels , Mona Habibi
Study of Virus Dynamics by Mathematical Models , Xiulan Lai
Applications of Stochastic Control in Energy Real Options and Market Illiquidity , Christian Maxwell
Options Pricing and Hedging in a Regime-Switching Volatility Model , Melissa A. Mielkie
Optimal Contract Design for Co-development of Companion Diagnostics , Rodney T. Tembo
Bifurcation of Limit Cycles in Smooth and Non-smooth Dynamical Systems with Normal Form Computation , Yun Tian
Understanding Recurrent Disease: A Dynamical Systems Approach , Wenjing Zhang
Theses/Dissertations from 2013 2013
Pricing and Hedging Index Options with a Dominant Constituent Stock , Helen Cheyne
On evolution dynamics and strategies in some host-parasite models , Liman Dai
Valuation of the Peterborough Prison Social Impact Bond , Majid Hasan
Sensitivity Analysis of Minimum Variance Portfolios , Xiaohu Ji
Eigenvalue Methods for Interpolation Bases , Piers W. Lawrence
Hybrid Lattice Boltzmann - Molecular Dynamics Simulations With Both Simple and Complex Fluids , Frances E. Mackay
Ecological Constraints and the Evolution of Cooperative Breeding , David McLeod
A single cell based model for cell divisions with spontaneous topology changes , Anna Mkrtchyan
Analysis of Re-advanceable Mortgages , Almas Naseem
Modeling leafhopper populations and their role in transmitting plant diseases. , Ji Ruan
Topological properties of modular networks, with a focus on networks of functional connections in the human brain , Estefania Ruiz Vargas
Computation Sequences for Series and Polynomials , Yiming Zhang
Theses/Dissertations from 2012 2012
A Real Options Valuation of Renewable Energy Projects , Natasha Burke
Approximate methods for dynamic portfolio allocation under transaction costs , Nabeel Butt
Optimal clustering techniques for metagenomic sequencing data , Erik T. Cameron
Phase Field Crystal Approach to the Solidification of Ferromagnetic Materials , Niloufar Faghihi
Molecular Dynamics Simulations of Peptide-Mineral Interactions , Susanna Hug
Molecular Dynamics Studies of Water Flow in Carbon Nanotubes , Alexander D. Marshall
Valuation of Multiple Exercise Options , T. James Marshall
Incomplete Market Models of Carbon Emissions Markets , Walid Mnif
Topics in Field Theory , Alexander Patrushev
Pricing and Trading American Put Options under Sub-Optimal Exercise Policies , William Wei Xing
Further applications of higher-order Markov chains and developments in regime-switching models , Xiaojing Xi
Theses/Dissertations from 2011 2011
Bifurcations and Stability in Models of Infectious Diseases , Bernard S. Chan
Real Options Models in Real Estate , Jin Won Choi
Models, Techniques, and Metrics for Managing Risk in Software Engineering , Andriy Miranskyy
Thermodynamics, Hydrodynamics and Critical Phenomena in Strongly Coupled Gauge Theories , Christopher Pagnutti
Molecular Dynamics Studies of Interactions of Phospholipid Membranes with Dehydroergosterol and Penetrating Peptides , Amir Mohsen Pourmousa Abkenar
Socially Responsible Investment in a Changing World , Desheng Wu
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Home > A&S > Math > Math Undergraduate Theses
Mathematics Undergraduate Theses
Theses from 2019 2019.
The Name Tag Problem , Christian Carley
The Hyperreals: Do You Prefer Non-Standard Analysis Over Standard Analysis? , Chloe Munroe
Theses from 2018 2018
A Convolutional Neural Network Model for Species Classification of Camera Trap Images , Annie Casey
Pythagorean Theorem Area Proofs , Rachel Morley
Euclidian Geometry: Proposed Lesson Plans to Teach Throughout a One Semester Course , Joseph Willert
Theses from 2017 2017
An Exploration of the Chromatic Polynomial , Amanda Aydelotte
Complementary Coffee Cups , Brandon Sams
Theses from 2016 2016
Nonlinear Integral Equations and Their Solutions , Caleb Richards
Principles and Analysis of Approximation Techniques , Evan Smith
Theses from 2014 2014
An Introductory Look at Deterministic Chaos , Kenneth Coiteux
A Brief Encounter with Linear Codes , Brent El-Bakri
Axioms of Set Theory and Equivalents of Axiom of Choice , Farighon Abdul Rahim
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Home > Computational, Mathematical, and Physical Sciences > Mathematics Education > Theses and Dissertations
Mathematics Education Theses and Dissertations
Theses/dissertations from 2024 2024.
Rigorous Verification of Stability of Ideal Gas Layers , Damian Anderson
Documentation of Norm Negotiation in a Secondary Mathematics Classroom , Michelle R. Bagley
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
âDonât Say Gay. We Say Dumb or Stupidâ: Queering ProspectiveMathematics Teachersâ 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
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An thesis examples on mathematics statement is a prosaic composition of a small volume and free composition, expressing individual impressions and thoughts on a specific occasion or issue and obviously not claiming a definitive or exhaustive interpretation of the subject.
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Mathematics PhD theses
A selection of Mathematics PhD thesis titles is listed below, some of which are available online:
2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
Anne Sophie Rojahn – Localised adaptive Particle Filters for large scale operational NWP model
Melanie Kobras – Low order models of storm track variability
Ed Clark – Vectorial Variational Problems in L∞ and Applications to Data Assimilation
Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes
Chiara Cecilia Maiocchi – Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems
Samuel R Harrison – Stalactite Inspired Thin Film Flow
Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability
Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions
Jennifer E. Israelsson – The spatial statistical distribution for multiple rainfall intensities over Ghana
Giulia Carigi – Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics
André Macedo – Local-global principles for norms
Tsz Yan Leung – Weather Predictability: Some Theoretical Considerations
Jehan Alswaihli – Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations
Jemima M Tabeart – On the treatment of correlated observation errors in data assimilation
Chris Davies – Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems
Birzhan Ayanbayev – Some Problems in Vectorial Calculus of Variations in L∞
Penpark Sirimark – Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation
Adam Barker – Path Properties of Levy Processes
Hasen Mekki Öztürk – Spectra of Indefinite Linear Operator Pencils
Carlo Cafaro – Information gain that convective-scale models bring to probabilistic weather forecasts
Nicola Thorn – The boundedness and spectral properties of multiplicative Toeplitz operators
James Jackaman – Finite element methods as geometric structure preserving algorithms
Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics
Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface
Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations
Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)
Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)
Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)
Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)
Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)
Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)
Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)
Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)
Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)
Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)
Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)
Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)
Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)
Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)
Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)
Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)
Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)
Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)
Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)
Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)
Mark Parsons - Mathematical Modelling of Evolving Networks
Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring
David Gilbert - Analysis of large-scale atmospheric flows
Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)
Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)
Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)
Cassandra A.J. Moran - Wave scattering by harbours and offshore structures
Ashley Twigger - Boundary element methods for high frequency scattering
David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)
Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)
Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)
Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)
Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)
Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)
Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)
Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)
R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)
G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)
C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.
P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)
L. Bennetts - Wave scattering by ice sheets of varying thickness
M. Preston - Boundary Integral Equations method for 3-D water waves
J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)
D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)
S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)
J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)
L. Watkinson - Four dimensional variational data assimilation for Hamiltonian problems
M. Hunt - Unique extension of atomic functionals of JB*-Triples
D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications
T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill
C. Hughes - On the topographical scattering and near-trapping of water waves
B.V. Wells - A moving mesh finite element method for the numerical solution of partial differential equations and systems
D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows
M. Henderson - Extending the edge-colouring of graphs
K. Allen - The propagation of large scale sediment structures in closed channels
D. Cariolaro - The 1-Factorization problem and same related conjectures
A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples
D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling
S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction
C. Johnson - Information Content of Observations in Variational Data Assimilation
M.A. Wakefield - Bounds on Quantities of Physical Interest
M. Johnson - Some problems on graphs and designs
A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts
R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems
J.V. Morgan - Numerical Methods for Macroscopic Traffic Models
M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling
M. Martin - Data Assimilation in Ocean circulation models with systematic errors
K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations
J. Hudson - Numerical Techniques for Morphodynamic Modelling
A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .
C.J.Smith - The semi lagrangian method in atmospheric modelling
T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow
M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.
P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.
M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors
P. Sims - Interface Tracking using Lagrangian Eulerian Methods.
P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.
B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.
S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.
I. Sciriha - On Some Aspects of Graph Spectra.
P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.
J.F. Goodwin - Developing a practical approach to water wave scattering problems.
N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.
L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.
A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .
J. Bryans - Denotational semantic models for real-time LOTOS.
I. MacDonald - Analysis and computation of steady open channel flow .
A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.
S.M. Allen - Extended edge-colourings of graphs.
M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.
C.J. Chikunji - On the classification of finite rings.
S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.
D.J. Staziker - Water wave scattering by undulating bed topography .
K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .
D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .
M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .
M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .
S.M. Stringer - The use of robust observers in the simulation of gas supply networks .
S.L. Wakelin - Variational principles and the finite element method for channel flows. .
E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .
C.P. Reeves - Moving finite elements and overturning solutions .
A.J. Malcolm - Data dependent triangular grid generation. .
Home > College of Natural Sciences > Mathematics > Mathematics Theses, Projects, and Dissertations
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
Theses/Projects/Dissertations from 2023 2023
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
Theses/Projects/Dissertations from 2022 2022
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
Theses/Projects/Dissertations from 2021 2021
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
Theses/Projects/Dissertations from 2020 2020
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
Theses/Projects/Dissertations from 2019 2019
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
Theses/Projects/Dissertations from 2018 2018
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
Theses/Projects/Dissertations from 2017 2017
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
Theses/Projects/Dissertations from 2016 2016
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
ĂdĂĄm's Conjecture and Arc Reversal Problems , Claudio D. Salas
AN INTRODUCTION TO BOOLEAN ALGEBRAS , Amy Schardijn
The Evolution of Cryptology , Gwendolyn Rae Souza
Theses/Projects/Dissertations from 2015 2015
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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Authorâs Princeton ties bring N.J. its first Freedom Libraries
Reginald Dwayne Betts is founder of Freedom Reads, which brings Freedom Libraries into prisons. He developed his one-man show "Felon" at Princeton in 2021 and performed it here last year. After seeing the show, Anne Jarvis, dean of libraries at Princeton, worked with the Prison Teaching Initiative and Office of State Affairs to bring Freedom Libraries to New Jersey.
Reginald Dwayne Betts, CEO of the nonprofit Freedom Reads, believes that you can âradically transform people's lives by giving them access to high-quality literature.â Betts is a lawyer and advocate for prison reform, as well as an acclaimed poet, performer and memoirist.
His organization has opened 345 Freedom Libraries in more than 40 prisons and juvenile detention centers across the U.S. In May, Princeton University Library (PUL) collaborated with Freedom Reads to open the first ones in New Jersey, at Garden State Youth Correctional Facility in Chesterfield.
New Jersey Department of Corrections Commissioner Victoria Kuhn (left) and Freedom Reads founder Reginald Dwayne Betts admire one of the Freedom Libraries at the Garden State Youth Correctional Facility, installed last May with support from Princeton University Library.
Unlike a library in a typical prison, accessible only through multiple guards and checkpoints, Freedom Libraries are installed in the center of residential units, with easy access to the nonprofitâs signature handcrafted wooden bookshelves that hold 500 books.
Betts' nonprofit grew from his own experience: At 16, he was incarcerated for nine years after pleading guilty to a carjacking. He c alls his access to books of poetry and literature in prison "transformational."
Betts would go on to receive a law degree from Yale University and artistic acclaim for his 2019 book "Felon: Poems," which he adapted into a solo show that he has performed before both live and digital audiences. He is the recipient of the Guggenheim fellowship and a MacArthur âgeniusâ grant.
His relationship with Princeton began when his online show caught the eye of Tony Award-winning lighting designer Jane Cox, professor of the practice in theater in the Lewis Center for the Arts. In 2021, she invited him to develop the show for the stage at Princeton. He returned in spring 2023 to perform "Felon: An American Washi Tale" at the Berlind Theatre as an artist in residence at the Lewis Center, and participated in public conversations with community members.
Betts said Princetonâs support speaks volumes. âYouâre saying that libraries matter in places that are literally starving for the robust access to the world of ideas, to the world of characters, to the world of curiosity that is part of being a student at Princeton.â
Anne Jarvis, dean of libraries at Princeton , attended a show and was electrified, she said. She immediately began working with Princeton's Prison Teaching Initiative (PTI) and Office of State Affairs to orchestrate PUL's support to bring Freedom Libraries to New Jersey.
"When you meet Dwayne, you cannot but be pulled in by his story and how access to books made such a difference to his life," Jarvis said.
"PTI is entering its 20th year of offering college courses at Garden State Youth Correctional Facility," said Jill Stockwell, associate director of PTI. "It was joy to witness this powerful connection between the University, Freedom Reads and the New Jersey Department of Corrections that enabled these libraries to go up in the living quarters so that people have access to these great books."
Cecelia Ramsay, a Princeton graduate student who teaches French and literature with PTI, helped with the opening as a Freedom Reads volunteer.
Betts said Princetonâs support speaks volumes. "You're saying that libraries matter in places that are literally starving for the robust access to the world of ideas, to the world of characters, to the world of curiosity that is part of being a student at Princeton."
Freedom Libraries are installed in the center of residential units, with easy access to the nonprofitâs signature handcrafted wooden bookshelves that hold 500 books.
Related Stories
âFelon: An American Washi Tale' theater project explores contemporary injustices .
The solo show, written and performed by the formerly incarcerated Reginald Dwayne Betts, is the centerpiece of an array of cross-campus programming at Princeton.
A second chance through Princeton's Prison Teaching Initiative .
Two years ago, Reginald Murph was in prison for the second time. Today, he is a sophomore at Rutgers University. He credits Princeton University's Prison Teaching Initiative (PTI) with helping give him a second chance. PTI offers credit-earning college courses to inmates at three New Jersey correctional facilities. More than 70 Princeton faculty, staff, postdoctoral fellows, graduate students and alumni volunteer to teach classes in English, mathematics, science and other subjects spanning the liberal arts.
Knapp receives presidential award for STEM mentorship .
Gillian Knapp, an emeritus professor of astrophysical sciences, has been recognized for her mentorship of the next generation of scientists and for founding the Princeton Prison Teaching Initiative.
Finding 'promising' approaches to mass incarceration reform .
Princeton senior Danielle Pingue's thesis "Partners in Crime: Nonprofits' Promising Approach to Mass Incarceration Reform" shows how nonprofits are contributing to policy reform in the criminal justice system.
Two seniors win ReachOut 56 Fellowships for public service .
Princeton seniors Krista Brune and Derrick Raphael have been awarded 2006 ReachOut 56 Fellowships, which provide the winners with a $25,000 grant to undertake a yearlong public service project after graduation.
Princeton Prison Teaching Initiative awarded NSF grant to promote STEM careers .
The Prison Teaching Initiative (PTI) at Princeton University has received a National Science Foundation grant to help build a national alliance to forge pathways to science, technology, engineering and mathematics careers for people who are, or were, incarcerated.
A new Princeton partnership engages students, community with the work of little-known Black playwrights .
The Lewis Center for the Arts has launched a partnership with the nonprofit collective CLASSIX to promote engagement for students and the Princeton community with rarely performed classic Black plays.
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Advice on Writing a Senior Thesis Harvard University Mathematics Department Last update: March 2017 This document contains advice from students who wrote a senior thesis, and from faculty involved in the senior thesis process, from advising to reading theses and examining students on them. Advice from students
An effective thesis statement has two parts: (1) the topic and (2) your claim about the topic. Your thesis is a contract that you establish with your readers. The voice, tone, assurances, and promises of your thesis must continue throughout the essay. An effective thesis statement should be as specific as possible and be limited enough to make ...
Department of Mathematics in the Graduate School Southern Illinois University Carbondale July, 2006 ... typewritten and double-spaced. A thesis abstract should consist of 350 words or less including the heading. A page and one-half is ... A preface or foreword may contain the author's statement of the purpose of
Overview. A senior thesis can form a valuable part of a student's experience in the Mathematics Major. It is intended to allow students to cover significant areas of mathematics not covered in course work, or not covered there in sufficient depth. The work should be independent and creative.
For many reports, a conclusion or summary is appropriate. Your thesis should be a coherent, self-contained piece of work. Your writing should conform to the highest standards of English. Aim at clarity, precision and correct grammar. Start sentences with capital letters and end them with full-stops.
Step 1: Start with a question. Step 2: Write your initial answer. Step 3: Develop your answer. Step 4: Refine your thesis statement. Types of thesis statements. Other interesting articles. Frequently asked questions about thesis statements. How to Write a STRONG Thesis Statement | Scribbr đ. Watch on.
Book: The Simple Math of Writing Well - Writing for the 21st Century (Harrop) 3: The Essay Equation 3.1: Thesis Statements Expand/collapse global location 3.1: Thesis Statements ... A thesis statement is the main idea or subject of your paper, while a topic sentence is the main idea of a single paragraph. Sometimes the thesis may develop in ...
A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ' Honors in Mathematics ' for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors ...
advice about writing any mathematics paper, not just a thesis, is provided in [3], and also [2, 4, 5].) 1. Basic requirements Your thesis must make a contribution to some eld of mathematics, and also report what was previously known about the topic. A Ph.D. thesis is expected to have a signi cant amount of original mathematical research.
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The title page of the Master Thesis should contain the following: the thesis's title, the student's name, the adviser's name, the statement "Presented to the MA in Mathematics Program in Partial Fulfillment of the Requirements for Completion of the Program," the information "Katz School of Science and Health, Yeshiva University, New ...
2 Thesis Projects In this section we describe the four projects which appear in my thesis. 2.1 Euclidean geometry The rst part of my thesis resolves two open problems in Euclidean geometry, the former an old chestnut, and the latter extremely recent but at the center of a very active area of current research.
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.
1. When applying for PhD programs outside your home university, the university you apply to usually requires a research statement from you. However, this isn't the case when you reach out for a Bachelor's or Master's thesis topic to a professor you know from your home university (in mathematics). You would just approach a supervisor and express ...
Theses/Dissertations from 2021. PDF. Mathematical Modelling & Simulation of Large and Small Scale Structures in Star Formation, Gianfranco Bino. PDF. Mathematical Modelling of Ecological Systems in Patchy Environments, Ao Li. PDF. Credit Risk Measurement and Application based on BP Neural Networks, Jingshi Luo. PDF.
The Senior Thesis in Mathematical Sciences course allows students to engage in independent mathematical work in an active and modern subject area of the mathematical sciences, guided by an official research faculty member in the department of mathematics and culminating in a written thesis presented in an appropriate public forum.
Theses/Dissertations from 2020. PDF. Mathematical Identities of Students with Mathematics Learning Dis/abilities, Emma Lynn Holdaway. PDF. Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures, Porter Peterson Nielsen. PDF.
Useful: Mathematical problems abound in daily life. Mathematical proficiency is required for many jobs. Mathematics is essential for science, engineering, and research. Important: A mathematically informed citizenry will make better economic and political decisions about risk, policy, and resource allocation. Interesting:
Estimation and application of Bayesian Hawkes process models ï»ż. Deutsch, Isabella (The University of Edinburgh, 2024-03-13) In this thesis, we examine various facets of Bayesian approaches to Hawkes Processes. Hawkes Processes are a flexible class of point processes that are used to model events that occur in clusters or bursts, as classic ...
In our online database you can find free Mathematics Thesis Statement work for every taste: thesis, essays, dissertations, assignments, research and term papers etc. - easy and free. Choose any document below and bravely use it as an example to make your own work perfect! Samples List. An thesis examples on mathematics statement is a prosaic ...
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991. 2024. Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
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
We study the continuous-time q-learning in the mean-field jump-diïŹusion models from the representative agent's perspective. We introduce the integrated q-function in decoupled form (decoupled Iq-function) and establish its martingale characterization together with the value function, which provides a unified policy evaluation rule for both mean-field game (MFG) and mean-field control (MFC ...
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