Master of Science in Mathematics

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

(Scholarships for Foreing Students)

 


MASTER OF SCIENCE IN MATHEMATICS


 

The Division of Exact and Natural Sciences, through the Department of Mathematics and the Graduate Program in Mathematics, offers graduate studies leading to the Master of Science degree. 

This master of science program in mathematics is recognized by the National Program of Qualified Graduate Studies (PNPC), which depends on Mexico's National Council of Science and Technology (CONACYT). This guarantees scholarships for those admitted students that comply the requirements of CONACYT.

 


THE MASTER PROGRAM AT A GLANCE


 

Duration of studies: Typically 4 semesters

Total credits required: 110

Degree conferred: Master of Science (Mathematics)

Campus where it is offered: Unidad Regional Centro (Hermosillo)

 


BRIEF DESCRIPTION OF THE PROGRAM


General goals:

  • The  master of science program prepares professionals with high academic standards and an ample knowledge of the methods of modern mathematics. These professionals have the ability to pursue higher studies and participate in research projects, as well as being capable of working in mathematical consulting and provide support for research and development projects in various disciplines of technological and scientific nature.
  • The master of science program also reinforces students ability to perform independent studies in several fields of mathematics in order to achieve a better understanding of the modern developments and trends in mathematical research. As a result, our graduates are able to teach at undergraduate levels, which improves the teaching of mathematics in our region.

   Some particular goals:

  • The master of science program: provides a solid foundation of the mathematical general knowledge for its students, developing skills in order they can carry out studies in independent fashion; likewise, it prepares professionals with an ample knowledge on the main fields of modern mathematics enabling them to teach at undergraduate levels.
  • This program also provides professional training to students in order for having the ability to work in innovative environments allowing them to participate in research teams studying issues of social impact that require some mathematical modeling. Moreover, it prepares graduates in mathematical consulting,  in order to provide support for research and development projects in other disciplines.

 


DESIRABLE ACQUIRED SKILLS OF OUR STUDENTS


By the end of their studies, graduates of the master of science program in mathematics will have the following expertise:

  • A solid mathematical knowledge, required for being up to date in the developments of contemporary mathematics.
  • A sound aptitude to perform independent study, allowing them the understanding of relevant research problems in modern mathematics.
  • Capacity to introduce themselves into relevant fields of mathematical research as well as into interdisciplinary research of mathematical nature.
  • Ability to apply their mathematical competences to problems of other disciplines of scientific or technological nature.
  • Strong skills  to clearly communicate mathematical concepts and results, to researchers in their area, as well as specialists in other fields of science, verbally and in written fashion.

PLAN OF STUDIES


 

Courses

Class hours

Lab hours

Credits

1st Semester

Core course 1

4

4

12

Core course 2

4

4

12

2nd Semester

Core course 3

4

4

12

Core course 4

4

4

12

Elective course 1

4

4

12

3rd Semester

Elective course 2

4

4

12

Elective course 3

4

4

12

Seminar for Reports of Thesis Advances

0

10

10

4th Semester

Elective course 4

4

4

12

Thesis Seminar

2

6

10

Seminar for Reports of Thesis Advances

0

10

10

 

Curriculum details

  • Each student enrolled in the master of science program in mathematics will be appointed with a thesis director at the beginning of studies who will also be the  student's advisor. Jointly they shall present a thesis research project and a curricular plan, choosing at least four of the core courses of the plan of studies and completing the remaining credits with elective courses and seminars.
  • According to the thesis project, and with the previous authorization of her/his advisor and that of the Academic Committee, a student might be enrolled in elective courses from other graduate programs.
  • A special course named Thesis Seminar shall be completed by the third or fourth semester.
  • By the end of their third semester in the program, students shall present a report on the advances of their thesis research projects in the Seminar for Reports of Thesis Advances that will be assessed and graded by the student's Thesis Committee. For the approval of this seminar, a total of 10 credits shall be earned in no more than 3 semesters with at least 2 participations.

 

Core courses (12 credits each)

Linear Algebra

Mathematical Analysis I

Complex Analysis I

Ordinary Differential Equations

Stochastic Models I

Probability

Modern Algebra I

Topology I

Mathematical Analysis II

Differential Geometry I

 

Elective Courses (12 credits each)

Functional Analysis I

Functional Analysis II

Selected Topics in Mathematical Analysis

Complex Analysis II

Selected Topics in Complex Analysis

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 Models 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 Courses

Thesis Seminar (10 credits)

 

Suplementary Courses

Seminar for Reports of Thesis Advances (10 credits)

 


PRINCIPAL AREAS OF RESEARCH


  1. Mathematical Analysis and Topology
  2. Stochastic processes, Probability and Statistics
  3. Dynamical Systems, Geometry, and Mathematical Physics
  4. Applied Mathematics and Computer Sciences
  5. Mathematical Modeling and Control Theory

FACULTY


Name

 Areas of Research

E-mail

Dr. Misael Avendaño Camacho

3

misaelave@mat.uson.mx

Dr. Micaela Guadalupe Ávila Godoy

2

gavila@mat.uson.mx

Dr. Agustín Brau Rojas

2

brau@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

2 / 4

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. Martín G. García Alvarado

3 / 4

mggarcia@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 / 4

omel@mat.uson.mx

Dr. Rafael Roberto Ramos Figueroa

1

rramos@mat.uson.mx

M.C. Carlos Alberto Robles Corbalá

1

crobles@mat.uson.mx

Dr. Inna Shingareva Sidorova

3 / 4

inna@mat.uson.mx

Dr. Oscar Vega Amaya

2

ovega@mat.uson.mx

Dr. Fernando Verduzco

3

verduzco@mat.uson.mx

Dr. Yuri Mikhailovich Vorobiev

3

vorob@mat.uson.mx

 


ENROLLMENT IN THE PROGRAM


Admission requirements

  • Letter of application (Form F1).
  • A bachelor's degree in mathematics or related discipline.
  • A copy of the student's birth certificate and three 2.5×3.0 cm photographs.
  • Prospective students are required to pass a written admission exam and they are expected to have the background, knowledge and skills corresponding to a bachelor’s degree in mathematics.
  • A letter of recommendation from a professor or researcher (Form F2).
  • The Academic Committee will interview those candidates who need to provide more in-depth information regarding their acceptance to the program.
  • For foreign students, FM2 or FM9 visa.

 

Applicant's Profile

Prospective students applying to the master of science program in mathematics should have a background and proficiency equivalent to a bachelor’s degree in mathematics, or related fields such as Physics, Geology, Electronics, Computational Sciences or Engineering. They should have the expertise and competences allowing them to delve into basic areas of mathematics.

 


GRADUATION REQUIREMENTS


Graduation Requirements

In order to obtain the master of science degree in mathematics, students must:

  • Complete the required coursework and credits as well as the other institutional requirements of the program.
  • Show proficiency on a language other than spanish, as established by the Graduate Academic Committee of the program.
  • Perform satisfactorily on the final thesis defense examination conducted by the Thesis Defense Committee in accordance with Section VI of the Guidelines and Criteria for the Operation of the Graduate Program.

 


TUITION FEES


The applicants registration fees for studying at University of Sonora is published every year along with the new student admission announcement. See last year’s information at the link: http://posgrado.mat.uson.mx/

 

Enrollment and Tuition Fees

All students enrolled on a graduate program must pay tuition fees as established by University of Sonora's regulations. See last year’s fees and discounts per course in the following link:

 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/