Doctorate in Mathematics Specialty Sciences


Read more about this program on the institution's website

Program Description

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 description

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 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 objectives

  • Consolidate 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 When You Finish The Program?

Egress Profile

Graduates of the Postgraduate Program with the degree of Doctor of Science (Mathematics) will have the following attributes:

  • A high level of education in mathematics.
  • Capacity for autonomous research in relevant problems of mathematics.
  • Ability to apply mathematical knowledge in other disciplines of a scientific or technological nature.
  • Ability to train human resources at a higher level in the mathematical discipline.
  • Ability to communicate, orally and in writing, concepts and mathematical theories to researchers in the area, as well as specialists in other areas of scientific knowledge.


Curricular map


  • According to the research project and with the prior authorization of the Thesis Director, the student may study in the semester that determines optional subjects.
  • From the third semester the student will enroll in the Thesis Advance Exhibition Seminar. The evaluation of its performance will be in charge of its Thesis Committee. According to the result, the program coordinator records in the student's file the credits approved under the following criteria: A total of 20 credits must be approved in a no longer period to 6 semesters, in at least 4 presentations.

List of subjects

Basic Subjects

  • Linear algebra
  • Mathematical Analysis I
  • Complex Variable I
  • Ordinary differential equations
  • Stochastic Models I
  • Probability
  • Modern Algebra I
  • Topology I
  • Mathematical Analysis II
  • Differential Geometry I

Optative subjects

  • Functional Analysis I
  • Functional Analysis II
  • Selected Topics of Mathematical Analysis
  • Complex Variable II
  • Selected Topics of Complex Variable
  • Theory of Sets and Logic
  • Modern Algebra II
  • Selected Topics of Algebra
  • Topology II
  • Differential Geometry II
  • Selected Topics of Geometry and Topology
  • Dynamic systems
  • Equations in Partial Derivatives
  • Selected Topics of Differential Equations
  • Stochastic Models II
  • Stochastic processes
  • Selected Probability Issues
  • Selected Topics of Stochastic Processes
  • Statistics I
  • Statistics II
  • Selected Topics of Statistics
  • Optimization
  • Selected Optimization Topics
  • Theory of Control
  • Numerical analysis
  • Selected Topics of Numerical Analysis
  • Selected Topics of Applied Mathematics
  • Finite Mathematics
  • Lie groups
  • Applied Mathematics Methods
  • Asymptotic Methods for Differential Equations
  • Linear Numerical Algebra
  • Numerical Partial Differential Equations
  • Partial Differential Equations of First Order
  • Selected Topics of Partial Differential Equations

Research Subjects

  • Thesis seminar
  • Research Seminar I
  • Research Seminar II
  • Research Seminar III
  • Research Seminar IV
  • Research Seminar V
  • Research Seminar VI

Complementary Subjects

  • PhD Thesis Advance Exhibition Seminar

Lines of generation and / or application of knowledge of the program.

  • Mathematical Analysis and Topology
  • Stochastic Processes, Probability and Statistics
  • Mathematical Physics, Dynamic Systems and Geometry
  • Applied Mathematics and Computing

Academic Core

First name


Dr. Avendaño Camacho Misael

Dr. Carrillo Navarro Francisco Armando

Dr. Dávila Rascón Guillermo

Dr. Díaz Infante Velasco Saúl

Dr. Espinoza Fierro Jesús Francisco

Dr. Figueroa Preciado Gudelia

Dr. Flores Espinoza Rubén

Dr. Frías Armenta Eduardo

Dr. González Sánchez David

Dr. Guzmán Partida Martha D.

Dr. Leyva Castellanos Horacio

Dr. Luque Vásquez Fernando

Dr. Minjárez Sosa Jesús Adolfo

Dr. Montoya Laos José Arturo

Dr. Olmos Liceaga Daniel

Dr. Omelyanov Georgii Alexandrovich

Dr. Shingareva Sidorova Inna

Dr. Vega Amaya Oscar

Dr. Verduzco Fernando

Dr. Vorobjev Yuri Mikhailovich

How to enter this postgraduate course?

Entry requirements

  • Letter of application for admission.
  • Copy of the degree or examination certificate of masters in mathematics or related discipline. Non-qualified students must present a copy of the intern letter, the certificate of qualifications and documents evidencing a substantive advance of their thesis, as well as a letter of commitment that the title will be obtained during the second semester of 2017.
  • Official copy of the birth certificate and three child-sized photographs.
  • Interview to verify that you have the maturity and knowledge equivalent to a master's degree in mathematics, as well as skills for research and independent work.
  • Letter of commitment from a researcher of the basic core of the graduate program where he accepts to act as his thesis supervisor, which includes the research topic to be developed.
  • Proof that accredits at least 450 points on the TOEFL or its equivalent.
  • Two letters of recommendation from research professors.
  • For foreign students, FM2 or FM9 student immigration form.

Admission profile

Applicants for the degree of Doctor of Science (Mathematics) must show maturity and knowledge equivalent to a master's degree in mathematics, as well as aptitudes for research and independent work.

What do you need to get the degree?

Qualification requirements

To obtain a PhD degree, you must:

  • Approve the total credits and meet the other requirements established in the corresponding graduate program;
  • Proof of understanding a language other than Spanish, as established by the Academic Committee of the Postgraduate Program according to the study program.
  • Pass the examination of grade in the written phase and in the oral phase before a jury named ex profeso.
  • For the degree of doctor, to pass a general examination of knowledge in the case in which the graduate program contemplates it.
  • Comply with the provisions and requirements demanded by the School Services Office for the issuance of the degree.

Titration options

Successfully defend a doctoral thesis on an original research project before a jury that will be integrated according to section VI of the Guidelines and Criteria for the Operability of the Graduate Program.

How much does it cost to study this postgraduate course?

Cost of the EXANI-III

The registration cost of applicants to enter the Universidad de Sonora is announced annually along with the first entry notice.

Registration and tuition fees

Students, when enrolling in any of the graduate programs, must cover the corresponding fees according to the current minimum wage in the city of Hermosillo, as established in the Quotas Regulation.

More reports

Dr. J. Adolfo Minjárez Sosa
Program coordinator
Rosales and Blvd. Luis Encinas s / n, Col. Centro, CP 83000, Building 3K. Hermosillo, Sonora.
Tel: 52 (662) 2592155, Ext. 2384
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Last updated Mar 2020

About the School

La Universidad de Sonora es una institución pública autónoma que tiene como misión formar, en programas educativos de calidad y pertinencia, profesionales integrales y competentes a nivel nacional e i ... Read More

La Universidad de Sonora es una institución pública autónoma que tiene como misión formar, en programas educativos de calidad y pertinencia, profesionales integrales y competentes a nivel nacional e internacional, articulando la docencia con la generación, aplicación y transferencia del conocimiento y la tecnología, así como con la vinculación con los sectores productivo y social, para contribuir al desarrollo sostenible de la sociedad. Read less