Doctorate of Science with a Specialization in Mathematics

  Accredited by the Mexican Postgraduate Quality Program SEP-CONACYT (PNPC)

(Scholarships for Foreing Students)

 


PROGRAM NAME: Doctorate of Science with a Specialization in Mathematics


General Office of Professions (DGP) code: 111610

Typical time to degree: 8 semesters

Credits: 215

Degree conferred: Doctorate of Science (Mathematics)

Campus where it is offered: Hermosillo

 


PROGRAM DESCRIPTION


General Objective

  • To prepare professionals with high academic standards, and an extensive and sufficient knowledge of the subject matter, theories and methods of the main fields of mathematics, with the ability to study independently and understand the findings and developments in modern mathematical research.
  • To prepare professionals able to work in consulting and provide mathematics support for research and development projects for various disciplines of technological and scientific nature.
  • To educate professionals able to carry out original and independent research in the fields of mathematics and its applications.
  • To prepare professionals fit for teaching at a university and undergraduate level.
  • To contribute to improving the levels of mathematics education in northwestern Mexico.
  • To bolster and foster mathematics research in northwestern Mexico.

Specific Objectives

  • To reinforce the basic education of students in the main fields of mathematics.
  • To develop professionals trained to carry out independent research in mathematics.
  • To prepare professionals provided with an extensive knowledge of the main fields of modern mathematics, to teach at graduate and undergraduate levels.
  • To prepare trained professionals to participate in multidisciplinary research projects and programs.
  • To prepare professionals with a strong ability to work and innovation to participate in the study and resolution of problems of a mathematical nature arising from issues of social interest.
  • To prepare trained professionals to work in consulting and provide mathematical support for research and development projects in other disciplines.

 


WHAT SKILLS WILL YOU HAVE UPON COMPLETION OF THIS PROGRAM?


Requirements for Graduation

Graduates of the Postgraduate program with a degree in Doctorate of Science (Mathematics) will have the following attributes:

  • A high level of education in Mathematics.
  • Ability to independently research relevant mathematical problems.
  • Ability to apply mathematical knowledge to other disciplines of a scientific or technological nature.
  • Ability to prepare professionals for a higher level in Mathematics.
  • Ability to communicate, orally and in writing, mathematical theory and concepts to researchers in the area, as well as specialists in other areas of scientific knowledge.

 


PLAN OF STUDIES


Curriculum Map

Doctorate of Science (Mathematics)

Course

Code

Hours

Credits

Class hours

Lab hours

 

Semester 1

Research Seminar I

1639

3

6

50

 

Semester 2

Research Seminar II

1640

3

6

50

 

Semester 3

Research Seminar III

1641

3

6

50

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

 

Semester 4

Research Seminar IV

1642

3

6

50

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

 

Semester 5

Research Seminar V

1643

3

6

50

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

 

Semester 6

Research Seminar VI

1644

3

6

50

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

 

Semester 7

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

 

Semester 8

Exhibition Seminar for Progress on Doctoral Thesis

3320

0

20

20

  • According to the research project and with the prior authorization of the Thesis Director, students may take elective courses as determined.
  • As of the third semester, the student will enroll in the Exhibition seminar for Progress on Doctoral Thesis. The assessment of their performance will be made by the Thesis Committee. According to the result, the program coordinator will record the approved credits in the student's file using the following criteria: a total of 20 credits must be approved within a period no longer than 6 semesters, in at least 4 submissions.

 

List of Subjects

Required Subjects

Linear Algebra

Mathematical Analysis I

Complex Variables I

Ordinary Differential Equations

Stochastic Modeling I

Probability

Modern Algebra I

Topology I

Mathematical Analysis II

Differential Geometry I

Electives

Functional Analysis I

Functional Analysis II

Selected Topics in Mathematical Analysis

Complex Variables II

Selected Topics in Complex Variables

Set Theory and Logic

Modern Algebra II

Selected Topics in Algebra

Topology II

Differential Geometry II

Selected Topics in Geometry and Topology

Dynamic Systems

Partial Differential Equations

Selected Topics in Differential Equations

Stochastic Modeling II

Stochastic Processes

Selected Topics in Probability

Selected Topics in Stochastic Processes

Statistics I

Statistics II

Selected Topics in Statistics

Optimization

Selected Topics in Optimization

Control Theory

Numerical Analysis

Selected Topics in Numerical Analysis

Selected Topics in Applied Mathematics

Finite Mathematics

Lie Groups

Methods of Applied Mathematics

Asymptotic Methods for Differential Equations

Numerical Linear Algebra

Partial Numerical Differential Equations

First Order Partial Differential Equations

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

Exhibition seminar for Progress on Doctoral Thesis

 


LINES OF GENERATION AND APPLICATION OF KNOWLEDGE OF THE PROGRAM


1. Mathematical Analysis and Topology

2. Stochastic Processes, Probability and Statistics

3. Dynamical Systems, Geometry, and Mathematical Physics

4. Applied Mathematics and Computer Science

5. Control Theory and Mathematical Modeling

 


CORE FACULTY


Name

 LGAC.

Email

Dr. Misael Avendaño Camacho

3

misaelave@mat.uson.mx

Dr. Francisco Armando Carrillo Navarro

5

carrillo@mat.uson.mx

Dr. Guillermo Dávila Rascón

3

davila@mat.uson.mx

Dr. Saúl Díaz Infante Velasco

4 and 2

sauldiazinfante@gmail.com

Dr. Jesús Francisco Espinoza Fierro

1

jesus.espinoza@mat.uson.mx

Dr. Gudelia Figueroa Preciado

2

gfiguero@mat.uson.mx

Dr. Rubén Flores Espinoza

3

rflorese@mat.uson.mx

Dr. Eduardo Frías Armenta

1

eduardo@mat.uson.mx

Dr. David González Sánchez

2

david@mat.uson.mx

Dr. Martha D. Guzmán Partida

1

martha@mat.uson.mx

Dr. Horacio Leyva Castellanos

5

hleyva@mat.uson.mx

Dr. Fernando Luque Vásquez

2

fluque@mat.uson.mx

Dr. Jesús Adolfo Minjárez Sosa

2

aminjare@mat.uson.mx

Dr. José Arturo Montoya Laos

2

montoya@mat.uson.mx

Dr. Daniel Olmos Liceaga

4

olmos@mat.uson.mx

Dr. Georgii Alexandrovich Omelyanov

3 and 4

omel@mat.uson.mx

Dr. Inna Shingareva Sidorova

3 and 4

inna@mat.uson.mx

Dr. Oscar Vega Amaya

2

ovega@mat.uson.mx

Dr. Fernando Verduzco

3

verduzco@mat.uson.mx

Dr. Vorobjev Yuri Mikhailovich

3

vorob@mat.uson.mx

 


HOW DO I ENROLL IN THIS PROGRAM?


Entrance requirements

  • Application Letter.
  • Copy of degree certificate or certificate of exam for Master’s in Mathematics or related discipline. Students without degree certificates should submit a copy of the degree candidate letter, the transcript and documents that demonstrate substantial progress towards completing their thesis, as well as a letter of intent stating the degree to be obtained in the second semester of 2017.
  • Official copy of birth certificate and three 2.5 X 3.0 cm photographs.
  • Interview to show that the student has the maturity and knowledge of someone with a Master’s in Mathematics, as well as aptitudes for research and independent work.
  • Letter of Intent from a researcher of the core faculty of the graduate program accepting to serve as your thesis director, including the research topic to be developed.
  • Certificate that shows at least 450 points on the TOEFL or its equivalent.
  • Two letters of recommendation de professor-researchers.
  • For foreign students, FM2 or FM9 immigration form.

 

Specific Program requirements

Applicants to the Doctorate Program in Sciences (Mathematics) should show the maturity and knowledge of someone with a Master’s Degree in Mathematics, as well as aptitudes for research and independent work.

 


WHAT DO I NEED TO GRADUATE?


Graduation requirements

To obtain the Doctorate Degree, students must:

  • Successfully complete all course credits and satisfy the other requirements established in the corresponding graduate program;
  • Certify comprehension of a language other than Spanish, as established by the Graduate Academic Committee of the respective study program.
  • Pass the written part of the degree examination and the oral part before an ex-profeso appointed committee.
  • For the doctorate degree, pass a general knowledge exam, if established in the postgraduate program.
  • Comply with the provisions and requirements established by the Department of Academic Services for the issuance of the degree.

 

Degree options

Successfully defend a thesis before a grading committee grading committee whose composition will comply with Section VI of the Guidelines and Criteria for the Operation of the Graduate Program.

 


HOW MUCH DOES IT COST TO STUDY THIS DEGREE?


Cost of National Graduate School Entrance Exam (EXANI-III)

The applicant registration fee to study at the University of Sonora is published every year along with the new student admission announcement. See last year’s information: http://posgrado.mat.uson.mx/

 

Enrollment and tuition fees

When enrolling in one of the undergraduate or graduate degree programs students must pay all the corresponding fees based on the current minimum wage in the city of Hermosillo, pursuant to the Fee Regulation. See last year’s information: fees and discounts per course http://www.serviciosescolares.uson.mx/

 


FURTHER INFORMATION


Dr. J. Adolfo Minjárez Sosa

Program Coordinator

Rosales y Blvd. Luis Encinas s/n, Col. Centro, C.P. 83000, Edificio 3K. Hermosillo, Sonora.

posgrado@mat.uson.mx

Tel: +52 (662) 2592155, Ext. 2384

http://posgrado.mat.uson.mx/