## 5 Results in Mathematics, North America

The Department offers programs towards the Master of Science, Master of Science in Teaching, and the Doctor of Philosophy in Mathematical Sciences. There are two areas of ... [+]

The Department offers programs towards the Master of Science, Master of Science in Teaching, and the Doctor of Philosophy in Mathematical Sciences. There are two areas of concentration: pure mathematics and applied mathematics. The programs emphasize the interaction between these two areas and the common role of scientific computation. Students can take courses common to both areas, enabling them to gain an appreciation of the mathematical techniques and the connections between theory and applications.

Department research interests include classical analysis, harmonic analysis, Fourier analysis, approximation theory, algebra, number theory, graph theory, combinatorics, fluid mechanics, biomathematics, differential equations, numerical analysis, and modeling.... [-]

General Objectives: To train personnel with a high academic level and ample and sufficient knowledge in the contents, theories and methods of the main branches of mathema ... [+]

Name of the program: Doctorate in Mathematical Science Specialty DGP Code: 111610 Normal period to graduate: 8 semesters Credits: 215 Degree conferring: Doctor of Science (Mathematics) Campus where it is offered: Hermosillo

Program descriptionGeneral objectivesTo train personnel with a high academic level and ample and sufficient knowledge in the contents, theories and methods of the main branches of mathematics, with skills for autonomous study and understanding of the results and advances of modern mathematical research.Prepare human resources able to perform consulting and mathematical support in research and development projects in the different disciplines of a scientific and technological nature.Train trained personnel to carry out original and independent research in the field of mathematics and its applications.Prepare qualified human resources to carry out teaching tasks at the university and postgraduate levels.Contribute to the improvement of mathematics education levels in northwestern Mexico.Promote and strengthen research in mathematics in northwestern Mexico.Specific objectivesConsolidate the basic training of students in the main branches of mathematics.Prepare trained personnel for the autonomous exercise of research work in mathematics.Prepare personnel, endowed with extensive knowledge of the main branches of modern mathematics, to develop teaching tasks at the undergraduate and graduate levels.Prepare trained personnel to participate in multidisciplinary research programs and projects.Prepare personnel with high capacity for work and innovation to participate in the study and solution of problems of a mathematical nature emanating from problems of social interest.Prepare trained personnel to perform advisory and mathematical support in research or development projects in other disciplines.What Will Your Competencies Be... [-]The Ph.D. program is a four-year program. The format for the degree consists of coursework and a thesis. The student must pass a written and an oral comprehensive examina ... [+]

The Ph.D. program is a four-year program. The format for the degree consists of coursework and a thesis. The student must pass a written and an oral comprehensive examination within the first two years of the program.

The thesis is the most significant component of work towards the degree and involves original research. The first step for any prospective student is to select a potential supervisor and in consultation with the supervisor, organize a research plan including a possible thesis topic, before admission to the program. Faculty research interests are a critical factor in this preliminary decision.

The department is attempting to expand and strengthen its research activities and graduate students will play an important role in this endeavor. Almost all faculty members in the department receive external or internal funding to support their research programs.... [-]

The Mathematics department at Boston College offers a selective and focused doctoral program for talented students specializing in three broad research areas: Geometry/To ... [+]

The Department of Mathematics at Boston College seeks to advance mathematics through a commitment to excellence in research, teaching, and service to the community. The faculty has a strong research reputation, with highly regarded research groups in the areas of Algebraic Geometry, Geometry, Number Theory, Representation Theory, and Topology.

The department’s Ph.D. program was launched in 2010 and now supports 25 to 30 graduate students, attracting doctoral students from top programs both nationally and internationally. Service contributions include extensive work with pre-collegiate math teachers, involvement with mathematics policy questions at the state and national levels and support for scholarship in mathematics through the organization of international scholarly meetings and the editing of high-quality journals.... [-]

Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or conti ... [+]

Please Note: This program is currently recruiting its first class, which will begin in fall 2017.

Mathematical modeling is the process of developing mathematical descriptions, or models, of real-world systems. These models can be linear or nonlinear, discrete or continuous, deterministic or stochastic, and static or dynamic, and they enable investigating, analyzing, and predicting the behavior of systems in a wide variety of fields. Every mathematical modeling enterprise has four aspects: the content of the application field, the mathematical formulation and analysis, the analytical and computational methods (which often involve high-performance computing), and the interpretation and analysis of the results. Through extensive research, graduates of this program will have the expertise not only to use the tools of mathematical modeling in various application settings but also to contribute in creative and innovative ways to solve complex interdisciplinary problems and to communicate effectively with domain experts in various fields.... [-]