Doctorate in Mathematics

School of Science & Engineering

Academic Freedom to Discover Your Purpose
Open Curriculum Design at Atlantic International University

Welcome to the School of Science & Engineering, where our Doctorate of Mathematics program is tailored to empower purpose-driven individuals like you. Our program goes beyond traditional boundaries, equipping students with a profound understanding of mathematics and its applications across various fields of knowledge. Whether you aspire to delve into actuarial services, contribute to education, or impact industries like telecommunications, aerospace, and computer science, our Ph.D. in Mathematics is designed to open doors to diverse and fulfilling career opportunities.

As a student in our program, you will develop basic mathematical skills for everyday living and advanced theoretical expertise through rigorous courses in Mathematical Research Topics and Advanced Theoretical Mathematics. Our program goals are structured to enable you to apply mathematical principles in real-world scenarios, preparing you for roles where your expertise is valued and essential.

At AIU, we recognize the uniqueness of each student’s academic journey. Considering your unique and unrepeatable academic record and life experiences, our dedicated advisors will collaborate to create a custom program tailored to your needs and aspirations. This personalized approach ensures you get the most out of your educational experience, leading you to success in academia, industry, or consulting roles.

Suppose you are driven by purpose, seeking to elevate your life, and aspiring to make a meaningful contribution to the world. In that case, our Doctorate in Mathematics program is the ideal platform for your aspirations. Embark on this transformative journey with us.

Core Courses & Topics in Mathematics

Atlantic International University (AIU) ‘s mathematics curriculum is designed for a comprehensive and dynamic distant learning experience. Our core courses cover foundational topics like algebra, calculus, and geometry, while advanced courses explore areas such as abstract algebra and fundamental analysis. Emphasizing applied mathematics, our program integrates practical applications in economics, computer science, and engineering.

Applied Mathematical Modeling
Discrete Mathematics
Continuous and Finite Mathematics
Understanding Variation and Uncertainty
Probability and Random Variables
Procedural Programming
Multivariate and Vector Calculus
Differential Equations
Linear Algebra
Complex Variables and Group Theory

Estimation and Hypothesis Testing
Financial Calculus
Numerical Analysis
Algebra
Topology and Chaos
Industrial Mathematics
Applied Probability and Financial Risk
Multiple Regression and Time Series
Statistical Inference and Multivariate Analysis
Sample Surveys and Experimental Design

Orientation Courses

At Atlantic International University (AIU), our Doctorate in Mathematics program begins with comprehensive orientation courses that set the stage for an enriching academic journey. The curriculum includes Applied Mathematics Studies, where students delve into the practical applications of mathematical theories in diverse fields such as economics, computer science, and engineering. In Pure Mathematics Exploration, students embark on a theoretical journey, exploring the foundational principles of mathematics, focusing on abstract concepts and rigorous reasoning.

Computational Mathematics is crucial, equipping students with the skills to leverage computational tools for solving complex mathematical problems. These orientation courses provide a holistic introduction to the diverse facets of mathematics and lay the groundwork for specialized studies, ensuring our doctoral candidates are well-prepared for the challenges and opportunities.

Communication & Investigation (Comprehensive Resume)
Organization Theory (Portfolio)
Experiential Learning (Autobiography)
Academic Evaluation (Questionnaire)
Fundament of Knowledge (Integration Chart)
Fundamental Principles I (Philosophy of Education)
Professional Evaluation (Self Evaluation Matrix)
Development of Graduate Study (Guarantee of an Academic Degree)

Research projects in Mathematics

The academic journey through our doctoral program extends to Abstract Algebra Research, providing a platform for students to delve into theoretical underpinnings, explore abstract concepts, and contribute to the ongoing discourse in this specialized field. Furthermore, the curriculum incorporates Number Theory Advances, allowing doctoral candidates to explore cutting-edge developments in this branch of mathematics, fostering a deeper understanding of mathematical structures and relationships.

These Mathematics Doctoral Courses at AIU equip students with advanced theoretical knowledge and encourage active engagement in research and exploration. By incorporating Mathematical Modeling Techniques, Abstract Algebra Research, and Number Theory Advances, we ensure that our doctoral research candidates are well-prepared to make meaningful contributions to the ever-evolving landscape of mathematics.

Doctoral Dissertation Project
MBM900 Doctoral Proposal
MBM902 Doctoral Dissertation (15,000 words)

Publication: In the pursuit of academic excellence, each alumnus emerging from the Doctorate in Mathematics program at Atlantic International University (AIU) is not just encouraged but fervently urged to share the fruits of their research endeavors with the wider scholarly community. We believe that true academic achievement extends beyond individual accomplishment; it lies in the meaningful contribution of knowledge to the collective tapestry of mathematical understanding.

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AIU’s Outstanding Student Experience on Your Way!

A Mathematics PhD opens up diverse and rewarding career paths, with two prominent trajectories being Mathematics Education at the Doctoral Level and Interdisciplinary Mathematics Research. For those committed to advancing education, delving into Mathematics Education at the Doctoral Level involves specialized studies in andragogy-driven curriculum development and educational leadership. This pathway empowers graduates to shape the next generation of mathematicians through innovative teaching methods. Simultaneously, the commitment to interdisciplinary collaboration is evident in the Interdisciplinary Mathematics Research career path. This trajectory involves collaborative ventures, leveraging mathematical expertise in interdisciplinary projects, and fostering innovation at the intersection of mathematics and other fields. Whether you aspire to advance education or contribute to groundbreaking research, a Mathematics Ph.D. equips you with the skills to excel in these dynamic and impactful career avenues.

Community & Social

Our commitment to fostering a vibrant and interconnected community in AIU’s Doctorate in Mathematics program remains unwavering. Despite the online nature of the program, you will find yourself seamlessly integrated into the AIU Community through cutting-edge technologies and collaborative tools.

The Virtual Campus and Mobile App serve as gateways to many opportunities, connecting you with fellow students, alumni, and faculty. Engage in intellectually stimulating events such as symposiums, conferences, webinars, and competitions that transcend the virtual space. MYAIU and AIULINK enhance your sense of community, providing platforms for meaningful interactions and networking.

The AIU program is designed to empower you as a “University of One,” tailoring your educational experience to your unique journey. Yet, this pursuit of individuality does not equate to isolation. Through MYAIU, AIULink, AIUTV, Curriculum Builder Tool, Merlin Media Center, CampusAPP, Live and archived Webinars, Virtual Conferences, Live Chats, Virtual Laboratories, the Language Center, and a robust support system comprising Tutors, Academic Advisors, staff, and fellow AIU Alumni, you will be surrounded by a collaborative and supportive network.

The AIU Online Library, housing 260,000 books and over 30 million peer-reviewed/academic articles, journals, and publications, becomes an invaluable resource at your fingertips. These tools and resources, coupled with the opportunity to share your unique story and explore the 13 elements beyond academics that contribute to human betterment and personal growth, redefine the distance learning experience. Embark on your Doctorate in Mathematics at AIU, where technological innovation and community integration converge to create one of the most exceptional university degree programs for professionals.

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We understand how busy adults do not have time to go back to school. Now, it’s possible to earn your degree in the comfort of your own home and still have time for yourself and your family. The Admissions office is here to help you, for additional information or to see if you qualify for admissions please contact us. If you are ready to apply please submit your Online Application and paste your resume and any additional comments/questions in the area provided.

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Academic Resources

The Virtual Campus is a dynamic hub for Doctorate in Mathematics students at AIU, integrating the community with over 25 unique tools. The recent addition of a Virtual Reality 3D immersive experience enhances this online environment. In response to the evolving education landscape, AIU recognizes the surge in microlearning, where complex topics are condensed into 15-minute intervals for efficient knowledge transfer. Our Virtual Campus leverages this trend, providing access to expert-led courses beyond traditional classrooms, ensuring that our mathematics doctoral students benefit from simplified, relevant, and practically applicable resources. This approach reflects AIU’s commitment to an innovative and efficient learning experience.

Virtual Campus

Complete assignments online or offline at your convenience with 24/7 access to distance learning through AIU’s Virtual Campus. Step by Step guides including videos, tutorials, live webinars and examples for each course. All materials can be access on all web browsers as well as via AIU's Mobile App which brings all the features of the Virtual Camus to your Mobile Device.

My AIU Elements

MyAIU’s primary goal is to go beyond Academics, it looks to guide students through 11 elements that are key to living life optimally in all aspects. By identifying and reflecting on these key areas, an opportunity arises to holistically address them, through positive change, habits, reinforcement and tools to keep students on their chosen path.

AIU TV & Radio

The students have the opportunity to produce, edit and host their own show reaching a worldwide audience, the AIU community and giving notice of their expertise/passion in the subject. AIUTV & AIU Radio allow students to explore new ways to communicate, develop a platform and form potential collaboration with likeminded individuals.

AIU Campus Mundi

AIU Campus Mundi is a monthly magazine that gathers the most notable news and information about the university and its members in one convenient place. The magazine allows our community to be well informed, involved and keep in tough regardless of their geographic location. AIU Campus Mundi publishes, news, research, events, awards, academic achievements.

Graduation Ceremony

Each year AIU organizes graduation ceremonies where the students can assist and share their experiences with fellow students and academic members Participation in the ceremony is optional, the day’s events include conferences, research presentations, group meetings, networking, lunch and formal dinner.

Video Thumbnail: AIU Symposium Universe is alive best ways to avoid burnout by Julia Koifman

Symposiums & Webinars

In the realm of AIU’s Doctorate in Mathematics, our symposiums and conference days serve as vibrant arenas where scholarly pursuits take center stage. Far beyond a mere suggestion, active participation becomes an integral part of the program, potentially evolving into a requisite facet of academic engagement. The anticipation for these intellectual gatherings is heightened with announcements arriving 30 days ahead, not just via conventional emails but echoing through the virtual corridors of our enriched Virtual Campus.

Live Classes

In the Doctorate in Mathematics program at Atlantic International University (AIU), we prioritize an interactive and engaging learning experience through our live classes. With the commitment to fostering a dynamic academic environment, AIU offers two live classes each day for mathematics doctoral students. These sessions provide a real-time platform for students to actively participate in discussions, collaborate with peers, and engage directly with expert faculty members. The live classes serve as a cornerstone of our program, offering the opportunity for immediate clarification of complex concepts, facilitating collaborative problem-solving, and creating a sense of community among doctoral candidates. Through this interactive approach, AIU ensures that mathematics doctoral students receive personalized and comprehensive educational support beyond the traditional online learning model.

Special Projects

In the Doctorate in Mathematics program at Atlantic International University (AIU), special projects are an integral part of the academic journey, offering students unique opportunities to apply their mathematical expertise innovatively. These projects go beyond traditional coursework, allowing doctoral candidates to delve into specific areas of interest, conduct in-depth research, and contribute to advancing mathematical knowledge.

Whether it’s tackling real-world problems, exploring interdisciplinary applications, or developing new mathematical models, special projects provide a platform for creativity and intellectual exploration. AIU supports and encourages students to undertake these projects, fostering a culture of innovation and pushing the boundaries of mathematical understanding. Through special projects, mathematics doctoral candidates at AIU not only deepen their expertise but also make meaningful contributions to the broader field of mathematics

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Career Center

The Career Center for the Doctorate in Mathematics program at Atlantic International University (AIU) is a comprehensive resource designed to empower students in their professional journey. Tailored to the unique needs of mathematics doctoral candidates, the Career Center offers various services, including career counseling, resume assistance, and interview preparation. Our dedicated advisors guide students in identifying and pursuing diverse career paths in academia, research, industry, and consulting. The center also facilitates networking opportunities, connecting mathematics doctoral candidates with potential employers and collaborators. With a focus on translating academic excellence into real-world success, the Career Center at AIU is committed to supporting mathematics doctoral students in achieving their professional goals and making impactful contributions to the field.

Job Opportunities

Academic Roles: Opportunities exist for mathematics doctoral graduates to become professors, lecturers, or researchers in esteemed educational institutions, contributing to the next generation of mathematicians.
Research Positions: Pursue roles in research institutions or organizations where your advanced mathematical expertise can drive innovation and contribute to cutting-edge discoveries.
Industry Specialists: Mathematics doctoral candidates are well-suited for roles in industries like finance, technology, and data science, where their analytical skills are in high demand for problem-solving and decision-making.
Consulting: Apply your mathematical knowledge as a consultant, providing expert advice to businesses, government agencies, or non-profit organizations seeking solutions to complex challenges.
Government Positions: Explore opportunities within government agencies, utilizing your expertise in policy analysis, data interpretation, or research roles.
Data Science and Analytics: Leverage your quantitative skills in the growing field of data science, working with big data to extract valuable business insights.
Actuarial Services: Mathematics graduates can pursue careers as actuaries, assessing and managing financial risks for insurance companies, pension funds, or investment firms.
Telecommunications and Aerospace: Apply mathematical modeling and analysis in industries such as telecommunications and aerospace, contributing to technological advancements and problem-solving.

AIU’s Doctorate in Mathematics program prepares students for these diverse career paths, offering a springboard to impactful and fulfilling professional trajectories.

Tools for Doctorate in Mathematics Professionals

Mathematical Software: Utilize powerful mathematical software like MATLAB, Mathematica, or Python to conduct complex computations, simulations, and data analyses.
LaTeX: Create professional and well-formatted documents, particularly useful for writing research papers, theses, and mathematical documents.
Reference Management Tools: Tools like EndNote, Zotero, or Mendeley assist in organizing and citing sources efficiently, streamlining the research writing process.
Collaborative Platforms: Platforms such as Overleaf or ShareLaTeX facilitate collaborative writing on mathematical documents in real-time, enhancing teamwork among researchers.
Programming Languages: Proficiency in programming languages such as R or Julia broadens the scope of mathematical applications, particularly in data science and computational mathematics.

Graphing Tools: Tools like Desmos or GeoGebra assist in visualizing mathematical concepts and creating interactive graphics for presentations and publications.
Version Control Systems: Employ tools like Git to track changes in code and documents collaboratively, ensuring efficient collaboration and version tracking.
Virtual Laboratories: Explore platforms like PHET Interactive Simulations or Wolfram Demonstrations Project for hands-on virtual experiments and simulations.
Communication Platforms: Utilize communication tools like Slack, Microsoft Teams, or Discord for effective collaboration, especially when working with teams dispersed globally.
Statistical Analysis Tools: For mathematics professionals engaged in data analysis, statistical tools like SPSS, SAS, or RStudio can be invaluable.

Associations for Doctorate in Mathematics Professionals

As Doctorate in Mathematics professionals navigate the intricate realms of advanced research, education, and applications, affiliating with relevant associations becomes a cornerstone for staying informed, fostering collaboration, and contributing to the broader mathematical community. Here’s a curated list of associations that serve as invaluable resources for mathematics professionals, offering networking opportunities, access to cutting-edge research, and platforms for collective advancement:

American Mathematical Society (AMS)
International Mathematical Union (IMU)
Mathematical Association of America (MAA)
European Mathematical Society (EMS)
Institute of Mathematical Statistics (IMS)
Association for Women in Mathematics (AWM)
Society for Industrial and Applied Mathematics (SIAM)
Clay Mathematics Institute (CMI)
National Council of Teachers of Mathematics (NCTM)
Association for Computing Machinery (ACM)
Mathematical Sciences Research Institute (MSRI)
Association for Symbolic Logic (ASL)

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Doctorate in Mathematics Requirements

Admission to the Doctorate in Mathematics program at our institution requires a strong academic background and professional experience to ensure that candidates are well-prepared for the rigors of advanced research and scholarship in mathematics. Prospective applicants should hold a Master’s degree in Mathematics or a closely related field, demonstrating a comprehensive understanding of foundational mathematical principles. In addition to the academic qualifications, a minimum of five years of professional experience is required, showcasing the candidate’s practical application of mathematical knowledge in real-world contexts. This dual emphasis on advanced education and substantial professional experience ensures that candidates bring a well-rounded perspective to their doctoral studies, contributing to a vibrant and diverse academic community. The admission process is competitive, seeking individuals who exhibit exceptional academic achievements and a proven track record of applying mathematical expertise in professional settings.

How Can You Apply?

Embarking on the journey toward a Doctorate in Mathematics at our esteemed institution involves a seamless application process. Follow these steps to initiate your application:

Click on the provided link to enter your personal and educational information securely.
Enhance your application by attaching your comprehensive resume, outlining your academic achievements and professional experience in the realm of mathematics.
Take a moment to review every detail of your application meticulously. Ensure accuracy in presenting your academic and professional journey, emphasizing your commitment to advancing the field of mathematics.
Once satisfied with the accuracy and completeness of your application, proceed confidently to submit it. This marks the initiation of your exciting venture into the Doctorate in Mathematics program.

Embark on this transformative academic journey by seamlessly navigating through these application steps, each contributing to the commencement of your pursuit of advanced knowledge and impactful contributions to the field of mathematics.

Financial Support & Scholarships

Embarking on the transformative journey of pursuing a Doctorate in Mathematics at AIU with newfound accessibility, courtesy of our diverse scholarship offerings. Recognizing students’ financial challenges, we have tailored scholarships to various circumstances. By sharing your details, you unlock opportunities crafted precisely for your needs. Take the first step toward discovering these scholarships by submitting your inquiry, allowing us to guide you through possibilities that ensure an enriching academic experience in mathematics at AIU and financial viability for your educational pursuit. Your path to a Doctorate in Mathematics is promising and financially supported, ensuring a seamless and fulfilling academic journey.

How Much Does a Doctorate in Mathematics Cost Per Year?

Embark on your academic journey with assurance of excellence and affordability at AIU. Our Doctorate in Mathematics program is available at a total cost affordably. To further enhance convenience, we provide a flexible monthly payment plan, ensuring a financially manageable path toward your doctoral degree. This tailored approach aims to make pursuing advanced mathematics education achievable and without financial stress. Join a community where outstanding learning seamlessly integrates with adaptable financial solutions, ensuring your mathematics educational aspirations are within reach and comfortably attainable.

FAQs

How long does it usually take to complete a Ph.D. in Mathematics?

The duration to complete a PhD in Mathematics typically ranges from 4 to 6 years, depending on the individual’s pace of research, dissertation development, and program requirements.

What are some common research areas in a Mathematics Doctorate program?

Common research areas in a Mathematics Doctorate program include but are not limited to Algebra, Analysis, Geometry, Number Theory, Applied Mathematics, Computational Mathematics, and Mathematical Physics.

What distinguishes a Doctorate in Mathematics from a Master's degree?

A Doctorate in Mathematics signifies the highest academic achievement in the field, requiring original research culminating in a doctoral dissertation. It goes beyond a Master’s degree by emphasizing independent, in-depth research contributions to advance mathematical knowledge, typically taking several years to complete.

Do online Doctorate programs in Mathematics exist, and what is their effectiveness in reshaping traditional academic boundaries?

Yes, there are online Doctorate programs in Mathematics, and their effectiveness depends on the institution’s accreditation and program structure. AIU offers a virtual Doctorate in Mathematics program, providing a flexible and effective online learning environment.

What is the significance of a dissertation in a Mathematics PhD program?

A dissertation in a Mathematics Ph.D. program is of paramount significance as it represents original research, contributes new knowledge to the field, and demonstrates the candidate’s mastery of advanced mathematical concepts. It is a critical component in earning a Doctorate, showcasing the ability to conduct independent and impactful scholarly work.

What are the current trends in mathematical research and theory?

Current trends in mathematical research and theory include developments in data science, machine learning, cryptography, algebraic geometry, topological data analysis, and the interplay between mathematics and other scientific disciplines such as biology and physics.

How does a Doctorate in Mathematics prepare students for academic and research careers?

A Doctorate in Mathematics equips students for careers in academia and research, furnishing them with profound knowledge, advanced research capabilities, and the skill to contribute innovative perspectives to the mathematical domain. It cultivates expertise, critical thinking, and a deep understanding of advanced mathematical concepts, positioning graduates for roles in academia, research institutions, and other sectors demanding high-level mathematical proficiency.

Can a Doctorate in Mathematics program include interdisciplinary research opportunities?

Yes, a Doctorate in Mathematics program can include interdisciplinary research opportunities, allowing students to explore connections between mathematics and other fields such as biology, physics, computer science, and more.