COURSES:

The five courses will take place during the first four weeks of the program. Each course will be 12 hours long. The working language will be English.

Course 1

Constructive approximation and special functions: theory and applications. Renato Alvarez Nodarse, Antonio J. Durán, Alberto Grünbaum (Univ. of California, Berkeley, USA)

Course 2

Modeling, numerical analysis and scientific computing: development of mathematical tools for the effective solution of recent problems in Physics and Engineering. Tomás Chacón Rebollo, Francisco Guillén González, Fréderic Hecht (University of Paris VI, France).

Course 3

Control of systems governed by differential equations and applications to Physics, Biology, Engineering and other Sciences. Enrique Fernández Cara, Manuel González Burgos, Jean-Pierre Puel (Univ. de Versailles-Saint Quentin, France).

Course 4

Mathematical programming. Theory, algorithms and applications. Emilio Carrizosa, Alfredo Marín (Universidad de Murcia), Justo Puerto.

Course 5

Bifurcation analysis of dynamical systems. Theory, numerics and applications in mathematical modeling. Jorge Galán Vioque, Bosco García Archilla, Emilio Freire Macías.

There will be daily three hours of lectures, organized in two one and a half hour sessions, according to the following schedule:

The courses will begin with basic material and will progressively be specializing. Students will work on the content of the courses during the rest of the day, solving the proposed questions with individual work or aided by the tutors. The evaluation of the course (pass/not pass) will be done by an exhaustive tracking by the tutors of the duties assigned to each student. It will be necessary to pass all courses in order to continue with the program.

SEMINARS:

GUIDED ACTIVITIES:

The beginning of the fifth week will be devoted to presenting and assigning the research works that the students will be undertaking, guided by the tutors. Each student will be assigned a research work and a tutor. When signing up for the program each student will be asked to choose between two of the research units. In accordance with the available resources, efforts will be made to assign to each student a research work corresponding to the research units he/she chose.

During the next two months of the program the tutor will guide and follow the student's work. The last days of the program will be dedicated to the presentation by the students of the results obtained.

The final evaluation of the student will be made based on the report by the tutor and the presentation of the results.