Name: Jaime Maria Monteiro de Carvalho e Silva

Position: Associate Professor

Date and Place of birth: 7/27/1955 in Coimbra, Portugal

Nationality: Portuguese

Marital status: Married, five daughters (years: 18,15,12,10,6)

Work address: Departamento de Matemática

Universidade de Coimbra

Apartado 3008

3001-454 Coimbra, Portugal

e-mail: jaimecs@mat.uc.pt

Ph (351)(239)791 199

Fax (351)(239)832 568
 
 

Institution         Year Awarded          Type _________

University of Coimbra, Portugal         1985         Ph.D. (Mathematics)

University of Paris 6, France         1984         Docteur de 3e cycle (Mathematics)

University of Coimbra, Portugal         1977         B.A. (Mathematics)
 
 

Institution         Dates     Courses _______________

NATO Advanced Study Institute, USA         5/29-6/9/2000         "Special Functions 2000"

NATO Advanced Study Institute, Italy         9/2-9/12/1985         "Advances in Microlocal Analysis"

University of Perugia, Italy         7/15-8/18/1979         Summer School of Mathematics
 
 

Institution         Dates     Title _____ ___

University of Coimbra         1991-         Associate Professor

University of Coimbra         1991-         Associate Professor

University of Coimbra         1985-1991         Assistant Professor

University of Coimbra         1977-1985         Teaching Assistant

University of Coimbra         1976-1977         Undergraduate Teaching Assistant
 
 

My main focus is on the search of conditions for hyperbolicity (necessary and sufficient conditions like Levi condition, necessary conditions like the Lax-Mizohata condition, sufficient conditions), i.e., existence and unicity for C° and Gevrey classes problems for partial differential operators (mainly those with constant coefficients); the problems are standard Goursat problems or Goursat problems of Darboux type. I also study problems of asymptotic representations of generalized hypergeometric functions of several variables necessary to obtain asymptotic behavior of exact solutions of certain partial differential equations.

A complete comparison of 25 contraction conditions. Nonlinear Analysis, 30, (1): 470-476, 1997 (with Paula O. Collaço). (MR # 98j:47124)

The generalized Goursat-Darboux problem for a third order operator. Proceedings of the American Mathematical Society, 125 (2): 471-475, 1997 (with Carlos Leal). (MR # 97d:35129)

On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem. Portugaliae Mathematica, 46 sup: 567-577, 1989. (CC # 1080 774)

A sufficient condition for the C° well posedness of a Goursat problem. Portugaliae Mathematica, 45 (2): 221-228, 1988. (MR # 89k:35051)

Problème de Goursat-Darboux généralisé pour un opérateur du troisième ordre. Comptes Rendus de l'Académie des Sciences de Paris, 303 I, (6): 223-226, 1986. (MR # 87i:35033)

On the well posedness of a C° Goursat problem for a partial differential operator of order greater than two. Proceedings of the American Mathematical Society, 94 (4): 612-616, 1985. (MR # 87a:35041)
 
 

A noncoercive Volterra variational inequality arising in a Hele-Shaw problem, in: Nonlinear Evolution Equations and Their Applications (Ta-tsien Li, Long-Wei Lin, J.F. Rodrigues Eds.), 1-10, World Scientific, Singapore, 1999 (with C. Leal and J.F. Rodrigues). (CC # 1 734 567)

Goursat problems in Gevrey Classes - Volume in honor of Prof. Ribeiro Gomes, 89-92, Coimbra, 1998.

A survey of the necessary or sufficient conditions for the existence and unicity of C° solutions for hyperbolic equations and systems (survey plenary lecture). Proceedings of XIV Jornadas Hispano-Lusas de Matemática, III: 1561-1577, 1989. (CC # 1 113 058)

About the necessity of a sufficient condition for the C° well posedness of a Goursat problem. Proceedings of XII Jornadas Luso-Espanholas de Matemática, 476-481, 1987. (CC # 1 139 203)

Asymptotic representations for some multiple hypergeometric functions. Publicações de Física-Matemática, 5: 26-45, 1986.

Equations Hyperboliques à coefficients constants (editing of a series of lectures by Prof. J.Vaillant). Publicações de Física-Matemática, 2, 1983. (MR # 85j:35114)

Relativistic Liouville equation for the variable mass. Rev. Univ. Santander, 2 (II): 1253-1256, 1979. (CC # 754 825)
 
 

Some notes on the History of Mathematics in Portugal Katz, V. (ed.), The teaching mathematics and the history of mathematics. M.A.A. (2000) (to appear) (with António Leal Duarte and João Filipe Queiró)

Vicente Gonçalves e a História da Matemática em Portugal. Boletim da SPM, 37: 47-55,1997.

The teaching of mathematics in the university of Coimbra in the second half of the 19th century. (Portuguese) Nobre, Sergio (ed.), 2nd Portuguese-Brazilian meeting on the history of mathematics and 2nd national seminar on the history of mathematics. Theme: Contributions of Portuguese mathematicians on the development of mathematics in Brazil, Aguas de Sao Pedro, Brazil, March 23--26, 1997. Proceedings. Rio Claro: UNESP, Dept. de Matematica, 229-238 (1997). (ZBL # 896.01019)

The history of mathematics in the new mathematical curricula in Portugal. (Portuguese) Nobre, Sergio (ed.), 2nd Portuguese-Brazilian meeting on the history of mathematics and 2nd national seminar on the history of mathematics. Theme: Contributions of Portuguese mathematicians on the development of mathematics in Brazil, Aguas de Sao Pedro, Brazil, March 23--26, 1997. Proceedings. Rio Claro: UNESP, Dept. de Matematica, 165-172 (1997). (ZBL # 889.01011)

Some comments on the Mathematical principles of José Anastácio da Cunha. (Portuguese) Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics, Vol. II (Portuguese) (Braga, 1987), 274--289, Univ. Minho, Braga, 1987. (CC # 1 139 171) (with A. Leal Duarte)
 
 

Major advisor of 12 M. Sc. Students and 1 Ph.D. student.
 
 

"Problèmes de Goursat pour des équations aux dérivées partielles à coefficients constants"

University of Paris 6, F 26-30 June 2000

Conference "Opérateurs différentiels et physique mathématique"
 

"The mathematics of the future"

Portimão, P 10-13 November1999

Meeting of the "APM-Associação de Professores de Matemática" (Portugal)
 

"Problème de Cauchy dans les classes de Gevrey"

University of Coimbra, P 19-22 June 1995

Conference "Opérateurs différentiels et physique mathématique"
 

"A survey of the necessary or sufficient conditions for the existence and unicity of C° solutions for hyperbolic equations and systems (plenary lecture)"

Puerto de La Cruz, E 1991

"XIV Jornadas Hispano-Lusas de Matemática"
 
 

Round Table "What is mathematics today?"

University of Barcelona, E 26-30 June 2000

Third European Congress of Mathematicians
 

Plenary Panel "Mathematical modeling and applications in the secondary school curriculum: where do we come and where do we want to go?"

University of Lisbon, P 1-5 August 1999

Conference "ICTMA 9 ó International conference on the teaching of mathematical modeling and applications"
 
 

Institution         Dates         Assignment __ ___ ___

University of Coimbra, P         1999-         Analysis research group director

University of Coimbra, P         7-12 February 2000         main coordinator of the conference "III Encontro Luso-Brasileiro de História da Matemática"

University of Coimbra, P 8-19/3/99         co-organization of the 5th European Intensive Course on Complex Analysis "Hypercomplex systems and their

University of Coimbra, P         8-19/3/98         co-organization of the 4th European Intensive Course on Complex Analysis "Hypercomplex systems and their

Universities - Common Project         1993-1998         Coordinator of the portuguese Group

University of Coimbra, P         1991-1998         PDE and Applications research group director

University of Coimbra, P         19-22 June 1995         co-organization of the conference "Opérateurs différentiels et physique mathématique"

ASU, USA         1994         teaching: "Calculus III", "Intro to Lin. Alg."

Integrated P-Spanish Cooperation         1991-1992         Coordinator of the portuguese Group

Mathematics Research Ctr Lisbon         6/20-7/20/88         co-organization of "Hyperbolic Systems and Mathematical Physics" month

University of Paris 6, F         10/15/87-2/15/88         Grant "Invitation d´études supérieures"

University of Açores, P         1987         Lecturer on Complex Analysis

University of Aveiro, P         1985-87         Lecturer on Functional Analysis

University of Torino, I         12/1-12/15/86         P-Italian Research Council grant

Portuguese Mathematical Society         9/4-9/12/86         series of lectures "Hyperbolic Operators of constant coefficients" (Summer course)
 
 

I have taught in the Mathematics Department of the University of Coimbra: Calculus (first year of mathematics and engineering), Differential Equations (mathematics and engineering), Complex Analysis and applications (mathematics and engineering), Computers in Mathematics Education (mathematics education), History of Mathematics (mathematics). I have also taught Differential Equations to the Master Course in Mathematical Physics and in Civil Engineering, and History of Mathematics, Mathematical Modeling and Computers in Mathematics Education to the Master Course in Mathematics Education.
 
 

1991- - Member of the Board of Directors of the Mathematics Center, University of Coimbra, P.

1999-2000 - Coordinator of the 5^th year of the Mathematics Education branch of the Mathematics Degree, Mathematics Department , University of Coimbra, P.

1993-1994 - Coordinator of the M. Sc. on Mathematical Physics Scientific Committee, Mathematics Department , University of Coimbra, P.

1990-1992 - Member of the M. Sc. on Mathematical Physics Scientific Committee, Mathematics Department , University of Coimbra, P.

1988-1990 - Member of the Board of Directors of the Portuguese Mathematical Society.

1985-87 - Member of the Mathematics Department Executive Committee and of the College of Sciences and Technology Coordination Committee, University of Coimbra, P.

1985-86 - Member of the Board of Directors of the Mathematics Center, University of Coimbra, P.

1981 - Member of the Organizing Committee of the VIII Portuguese-Spanish Mathematical Meetings, Coimbra, P.

1980, 1984, 1986 - Member of the 2nd, 4th e 5th Meetings on Mathematical Physics Organizing Committee, Coimbra, P.
 
 

Calculus: Two Calculus books written for McGraw-Hill of Portugal.

Mathematics Education: I have lectured and given talks to secondary school teachers, written monographs for both high school and college mathematics courses, was co-editor of the education section in the Portuguese Mathematical Society Bulletin (1986-1994), and coordinated a committee on the Portuguese Ministry of Education on the change of the secondary mathematics curriculum. I participated in the following ICMI meetings:

ï ICMI Study Conference on The role of the history of mathematics in the teaching and learning of mathematics. CIRM, Marseille, April 20-25 1998.

ï ICMI Study Conference on The teaching and learning of mathematics at the university level, Singapore, December 8-12 1998.

Computers in Mathematics Education: I have developed and lectured in workshops on the use of computers in the teaching of mathematics, written several texts on the use of computers in the calculus teaching, and translated into portuguese the software 'MicroCalc' by Harley Flanders.

History of Mathematics: José Anastácio da Cunha, a portuguese mathematician of the XVIII century, is the focus of several of my publications (written in collaboration with colleagues), and seminars (in Portugal and France). I also co-lecture a course on the history of mathematics (my usual topic is 'history of mathematics in Portugal').

Popularization of Mathematics: I was the president of the portuguese Mathematical Olympiad Committee (1988-1991), I translated into portuguese a book by Miguel de Guzmán, made the scientific revision of a book by Ian Stewart and made more than 20 talks to high school students.

Memberships: Currently I hold memberships in "SPM-Sociedade Portuguesa de Matemática" (Portugal), "APM-Associação de Professores de Matemática" (Portugal), "American Mathematical Society" (USA), "MAA-Mathematical Association of America" (USA), "NCTM-National Council of Teachers of Mathematics" (USA), "Mathematical Association" (England), "Société Mathématique de France" (France).