Mathematics - Doctor of Philosophy (Ph.D.) or Master of Science (M.S.)

Program Overview

The University of Toledo offers both M.S. and Ph.D. programs in Mathematics. The M.S. program provides a strong foundation in mathematics and prepares students for careers in academia, industry, or government. The Ph.D. program prepares students for careers in research and teaching in academia or in high-level careers in industry, finance, and technology. Both programs offer a variety of concentrations, including Statistics and Applied Mathematics.

Program Outline

Degree Overview:

in Mathematics

• Overview: The M.S.
in Mathematics program at the University of Toledo prepares students to pursue a doctoral program in Mathematics or Statistics, pursue a teaching career at the community college or university level, or work in industry or other careers.
• Objectives: The objectives of the M.S.
in Mathematics program are to provide students with a strong foundation in the fundamental concepts of mathematics, to develop their problem-solving and critical thinking skills, and to prepare them for a successful career in mathematics.

Concentrations:

• Statistics: The Statistics concentration emphasizes the applications of statistics (project-oriented courses and computing), with a solid foundation in statistical theory.
Students consult with researchers at the nearby Health Science Campus and in other departments, including pharmacy, engineering, law, and physiology. The program includes important elements of training in data science.
• Applied Mathematics: The Applied Mathematics concentration provides a strong foundation in fundamental areas of pure and applied mathematics.
Students interact with faculty in research, seminars, and/or writing a master's thesis.

Ph.D. in Mathematics

• Overview: The Ph.D. in Mathematics program at the University of Toledo prepares students to enter a career in research and teaching in academia, join a medical or biopharmaceutical research facility, work for a government agency, such as the U.S. Census Bureau or the U.S. Bureau of Labor Statistics, or enter high-level careers that require advanced mathematical knowledge in industry, finance, and technology.
• Objectives: The objectives of the Ph.D. in Mathematics program are to provide students with a deep understanding of the fundamental concepts of mathematics, to develop their research skills, and to prepare them for a successful career in mathematics.

Concentrations:

• Mathematics: The Mathematics concentration offers a wide variety of basic courses and a chance to focus on an area of interest while pursuing research at the next level in pure and applied mathematics.
Dissertation research is supervised by world-class experts. Students can present work at seminars at UToledo and conferences.
• Statistics: The Statistics concentration provides strong connections to world-class researchers in the College of Medicine and Life Sciences at the UToledo Health Science Campus.
Students apply their dissertation-based statistical methods to real-world scientific problems.

Outline:

in Mathematics The M.S. in Mathematics program consists of 30 credit hours, including:

• Required core courses (18 credit hours)
• Elective courses (12 credit hours)

Core Courses:

• Real Analysis I and II
• Complex Analysis
• Linear Algebra
• Differential Equations
• Probability
• Statistics

Elective Courses:

Students can choose elective courses from a variety of areas, including:

• Algebra
• Analysis
• Applied Mathematics
• Geometry
• Statistics

Ph.D. in Mathematics

The Ph.D. in Mathematics program consists of 90 credit hours, including:

• Required core courses (36 credit hours)
• Elective courses (24 credit hours)
• Dissertation (30 credit hours)

Core Courses:

• Real Analysis I, II, and III
• Complex Analysis
• Linear Algebra
• Differential Equations
• Probability
• Statistics

Elective Courses:

Students can choose elective courses from a variety of areas, including:

• Algebra
• Analysis
• Applied Mathematics
• Geometry
• Statistics

Assessment:

in Mathematics Students in the M.S. in Mathematics program are assessed through a variety of methods, including:

• Exams
• Quizzes
• Homework assignments
• Projects
• Presentations

Ph.D. in Mathematics

Students in the Ph.D. in Mathematics program are assessed through a variety of methods, including:

• Exams
• Quizzes
• Homework assignments
• Projects
• Presentations
• Dissertation

Teaching:

in Mathematics The M.S. in Mathematics program is taught by a team of experienced faculty members who are dedicated to providing students with a high-quality education. Faculty members use a variety of teaching methods, including:

• Lectures
• Discussions
• Problem-solving sessions
• Computer labs

Ph.D. in Mathematics

The Ph.D. in Mathematics program is taught by a team of world-class researchers who are dedicated to providing students with a deep understanding of mathematics. Faculty members use a variety of teaching methods, including:

• Lectures
• Seminars
• Research supervision

Careers:

in Mathematics Graduates of the M.S. in Mathematics program have gone on to successful careers in a variety of fields, including:

• Academia
• Industry
• Government
• Non-profit organizations

Ph.D. in Mathematics

Graduates of the Ph.D. in Mathematics program have gone on to successful careers in a variety of fields, including:

• Academia
• Research
• Industry
• Government