University of Joensuu
Department of Mathematics

Annual Report 2000

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1. The Department of Mathematics for the year 2000
2. Faculty and staff
3. Students
4. Undergraduate education
5. Graduate education
6. Activities under international exchange programmes
7. Research activities
8. Publication analysis
9. Administration and funding
Appendix A
Appendix B
Appendix C

1. The Department of Mathematics for the year 2000

The 28 M.Sc. degrees awarded is an all-time high in the history of the Department (equal to 1999). These good results are due to the efforts that have been made in the frame of the mathematics teacher education project, particularly around the middle of the decade.

The research at the Department of Mathematics mainly concentrates on mathematical analysis. The main research topics are function spaces, complex analysis, functional analysis, Clifford algebras, potential theory and in applied mathematics overdetermined differential equations. The number of refereed publications in international journals in 2000 was 20. At the end of 1999, the Academy of Finland carried out an evaluation process to analyse the research at the Department. The evaluation was very positive about the research done in the Department. However, the number of Ph.D. degrees conferred must rise in the future.

The Department has been operating with decreased funding in 2000. For this reason, the total number of academic staff has slightly decreased from the previous year. The extra funding due to the national programme in science and technology research has become vital in order to maintain the present extent of undergraduate education in the mathematics teacher education and in applied mathematics.

The number of first year students started to increase again in comparison with the previous year but maintaining this trend requires continuous efforts in advertising and recruiting.

2. Faculty and staff

The Department had six full professorships in 2000. Jari Taskinen was nominated into a professorship in mathematics and he took up this position in the beginning of 2000. Senior assistant Liisa Kinnunen, the former Head of the Department, went to teach at high school in summer 2000, so Professor Rauno Aulaskari became the new Head of the Department.

In relation to the work distribution of the faculty, the role of research has started to show some minor increase, the time used for administration has increased while the time in teaching has decreased. The present flexible work allocation system for the faculty has been in use since the academic year 1992-1993 showing the trends of this decade. The diagram below describes the partition of total working hours for the faculty:

In the beginning of the decade, the growing tendency towards teaching purposes can partly be explained by misleading figures in the distribution of the 1600 hour annual working load. In the beginning, the total working hours of teaching have been higher than formally recorded. Lately, a flexible work allocation system has been established and the work distribution figures became more realistic.

Some statistics about the faculty and staff containing information about age, gender and education can be found in Appendix A.

3. Students

According to the department's strategy, the focus lines for undergraduate education are mathematics teacher education and education in applied mathematics. Further measures are still needed to strengthen the proportion of students in applied mathematics and in signal processing. About 11 % of our students are studying applied mathematics or signal processing while about 38 % of the students have not chosen either of the above two focus lines. The drop-out problem seems to be most serious for these students. By tutorial guidance and by selection procedures the mathematics teacher and applied mathematics study lines should be emphasized so that nearly all students would start their studies in one of these two alternatives. Regardless of the studyline, the students with a clear excellence in theoretical mathematics may specialize in (pure) research mathematics in the latter part of their studies.

The number of applicants has increased but this trend needs continuous efforts and strengthening.
 

	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000
Number of applications	499	605	610	555	468	397	381	293	243	246
Number of accepted applications	198	171	194	183	137	174	181	122	81	143
The lowest accepted score (max 100)	45	53	53	53	73	66	60	60	60	55
Actual first year enrollment	52	70	61	74	45	50	45	39	32	54
Left by the second year enrollment	40	56	39	55	37	34	26	24	27	*

________________
* Not yet available
 

4. Undergraduate education

From the new M.Sc. degree holders, 20 have studied in the mathematics teacher studyline and 6 in applied mathematics.

The Department carried on the development measures of educational practices, such as the homework support, tutorial guidance and an increasing use of technology. A special effort deserving mention was a 26 hour course on "Differential equations and dynamical systems" in February, given by professor Heinz Junek (Potsdam). There were two student groups, one of some 20 students in Joensuu, and another of some 15 students in Jyväskylä, to whom 5 two-hour lectures were transmitted by two-way video conferencing. The rest of the course consisted of paper-and-pencil exercises and computer lab work.

A special grant programme for first-year students, funded by the Faculty of Science, together with all Departments, was also continued. In 2000 these grants were given to Heikki Kettunen and Eeva Koponen at the Department of Mathematics.

During the year, concrete plans were made to establish the project Virtual University of Eastern Finland, starting from 2001. The Department will be acting as the coordinator of the pilot project of applied mathematics and mathematical statistics.

The Department received extra funding from the university in order to continue to organize courses as a part of the primary school teacher education. The number of primary school teacher students specializing in mathematics is most significant, even on a national scale. More advanced mathematics courses for primary school teachers administered by the continuing education centre were organized in collaboration with the University of Tampere.

5. Graduate education

One visible event in graduate education was the mini-conference in Complex Differential and Functional Equations organized at the Mekrijärvi Research Station during July 30 - August 3, 2000. The core of the mini-conference consisted of five minicourses deliver by V. Gromak (Minsk), G. Gundersen (New Orleans), A. Hinkkanen (Urbana), I. Laine (Joensuu) and S. Shimomura (Tokyo). Altogether, the conference attracted 23 postgraduate and postdoctoral participants.

The graduate school system for postgraduate education in Finland started in 1995. The Department co-operates in postgraduate education in the frame of the Graduate School of Analysis and Logic, the Graduate School of Stochastics as well as in the Graduate School for Teachers for Mathematics, Physics and Chemistry, each being network organizations between several departments. The Department also continues its participation with the ECMI program.

The total number of postgraduate students in mathematics was 13 by the end of year 2000. This includes ten students with financial support for full-time studies.

6. Activities under international exchange programmes

Under the Erasmus mobility activities of the Socrates programme, the mathematics students had the possibility of exchange to nine European universities. Of them Aachen, Madrid and Nottingham were visited in 2000. One mathematics student studied for an academic year in Montana, USA, under the International Student Exchange Program ISEP. One student from Caen was visiting Joensuu under the Socrates exchange program.

In applied mathematics, the Department participated in the Leonardo exchange program in the frame of the European Consortium of Mathematics in Industry, coordinated by the Technical University of Eindhoven. In 2000, there was no student exchange under the Leonardo program. One student in applied mathematics took part in the 12th ECMI Modelling Week in Lund in July 2000.

The Department continued Erasmus teacher mobility agreements with Thessaloniki and York. The University of York and the Aristotle University of Thessaloniki were visited by a faculty member.

7. Research activities

The research group "Function spaces and complex analysis", codirected by I. Laine and R. Aulaskari, is the largest within the Department. The group has continued its extensive international collaboration in the fields of complex function spaces, complex differential equations, complex functional equations and related investigations in potential theory. The following research achievements from 2000 deserve to be mentioned: (1) The investigations related to Painlevé differential equations have continued relying on active international contacts. In particular, the meromorphic nature of solutions of a modified third Painlevé equation has been settled. (2) In the field of complex functional equations, the main focus has been on Schröder-type functional equations. Moreover, related complex difference equations have been studied. (3) The theory of recently defined Möbius invariant function classes Q_p and Q_p^# has been extended to arbitrary open Riemann surfaces and to harmonic functions. (4) The problem concerning the Lebesgue points of Sobolev functions in metric spaces has been solved. This has been open even for weighted measured in euclidean spaces.

The project "Clifford algebras and potential theory'' directed by S.L. Eriksson-Bique and funded by the Academy of Finland has studied the main research problem of generalizing one-variable complex analysis to higher dimensions. The other topics are stochastic analysis and applications of abstract potential theory.

In the field of analytic function spaces and functional analysis the essential norm of composition operators from the Bloch space to Q_p has been characterized by J. Taskinen and his colleagues. J. Taskinen, with his colleagues, have also studied the continuity properties of the Bergman and Szegö projections on space related to H⁴. Further, parabolic differential equations where the steady state front solution of the Cahn-Hilliard equation is stable have been transferred from one-dimensional space to a higher dimensional case.

The research in applied mathematics directed by J. Tuomela has centered around the analysis of overdetermined differential equations. How to discretise, in a reliable way, overdetermined ordinary differential equations and how to use symbolic computation in the analysis of the solution set of such systems has been investigated.

A new INTAS-project under the title "New Trends in Complex Analysis and Potential Theory" started in May 1, 2000, being one of the ten projects in the field of mathematics selected for funding from the application call of 1999. The project is coordinated by Prof. Ilpo Laine; the other participating institutes are from Würzburg, Helsinki, Kiel, Kiev, Lviv, Saratov, Yerevan and Kharkov. The project will continue up to April 30, 2003.

Summary of international research activities

	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000
Organized conferences, workshops etc.	2	-	3	1	3	2	2	-	1	2
Participation in international conferences	41	40	45	30	45	42	26	35	27	37
Conference talks (total) by the staff	16	13	14	10	11	21	12	23	14	17
Invited conference talks by the staff	9	7	4	6	3	3	3	7	4	4
Invited guest lectures by the staff	-	2	8	10	7	5	3	5	10	8
Long-term visits (in months) to Joensuu	10	20	43	50	17	42	33	38	26	19
Long-term visits by staff abroad (in months)	8	9	9	19	11	18	-	1	4	16

8. Publication analysis

Refereed publications

	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000
Research monographs	–	1	1	–	–	–	–	–	–	–
Research articles	4	6	15	15	9	12	14	14	17	20
Edited publications	–	1	–	1	1	1	–	–	1	–

9. Administration and funding

The table below gives some information of the departmental funding in 2000, with a comparison with the funding in 1999. The decrease in the external funding was mainly due to the termination of some research projects funded by the EU and the Technology Development Center (TEKES).

Analysis of budget and outside funding (2000) 1000 FIM

	Regular budget	Extra funding from  the univ. budget	External funding Acad. of Finland	External funding Others
Full time salaries *)	3113	1232	421	668
Part-time teaching *)	0	204	0	0
Grants for research and grad. stud.	0	204	50	12
Travel expenses (inc. travel grants)	0	27	27	99
Equipment and software purchases	104	86	0	0
Consumables	0	22	0	0
Library purchases	0	167	0	13
Other expenses	8	135	3	29
Total 2000:	3225	2077	501	821
Total 1999:	3065	2077	354	1344

_________________
*) All salaries include social and other possible side expenses.

Appendix A

Professors
Aulaskari, Rauno, Ph.D.
Erkama, Timo, Ph.D. (applied mathematics)
Laine, Ilpo, Ph.D.
Sorvali, Tuomas, Ph.D. (part-time since 1.5.2000)
Taskinen, Jari, Ph.D., 1.1.2000-31.7.2004
Tuomela, Jukka, D.Tech. (applied mathematics), 1.1.2000-31.12.2002

Lecturers
Hyvönen, Jaakko, Ph.D.
Pesonen, Martti, Ph.D.

Senior assistants
Eriksson-Bique, Sirkka-Liisa, Ph.D., 1.8.1996-31.7.2001 (on leave 1.8.1993-31.7.2001)
Kinnunen, Liisa, Ph.D., 1.8.1997-31.7.2000
Latvala, Visa, Ph.D., 1.8.1998-31.7.2001
Saastamoinen, Juhani, Lic. Phil., (applied mathematics) 1.8.1999-7.5.2000

Assistants
Heittokangas, Janne, Ph.D., 1.9.2000-31.7.2001
Kähkönen, Mari, M.Sc. (applied mathematics) 1.9.2000-31.12.2000
Lehmuskero, Matti, M.Sc. (applied mathematics) 1.1.2000-20.5.2001
Smolander, Pekka, Ph.D., 1.8.1999-31.7.2004 (on leave 1.8.2000-31.7.2001)

Other full-time academic staff
Eriksson-Bique, Sirkka-Liisa, Ph.D., research fellow/Academy of Finland 1.8.1998-31.7.2003
Kähkönen, Mari, M.Sc., amanuensis 17.8.1999-31.8.2000
Posti, Eero, M.Sc., amanuensis
Sinkkonen, Riitta, M.Sc., amanuensis (on leave 2.7.1999-3.8.2000)

Salaried graduate students (including grants and graduate fellowships)
Funding source indicated

Heittokangas, Janne, Lic. Phil. (Graduate School of Analysis and Logic) 1.1.-31.8.2000
Hirvonen, Jani, M.Sc. (Faculty of Science) 1.1.1999-31.12.2000
Kaarakka, Terhi, M.Sc. (Graduate School of Stochastics) 1.1.-31.12.2000
Kettunen, Jarkko, M.Sc. (Clifford algebras and potential theory) 1.9.1999-31.12.2000
Korhonen, Risto, Lic. Phil. (Graduate School of Analysis and Logic) 1.1.-31.12.2000
Pesonen, Silja, M.Sc. (Graduate School for Teachers in Mathematics, Physics and Chemistry) 1.1.-31.12.2000
Päivinen, Niina, M.Sc. (Faculty of Science) 1.8.2000-31.3.2001
Rättyä, Jouni, M.Sc. (Spaces of analytic mappings, University of Helsinki) 1.9.-31.12.2000
Silvennoinen, Heli, M.Sc. (Faculty of Science) 1.1.-31.10.2000, (Graduate School of Analysis and Logic) 1.11.-21.12.2000
Yang Degui, Ph.D. (Department of Mathematics) 1.1.2000-31.5.2000

Secretarial staff
Jormanainen, Marjatta, 7.8.2000-6.2.2001
Kettunen, Hannele, 23.8.1999-22.2.2000
Kuosmanen, Pirjo, 21.2.-20.8.2000
Pekonen, Harri

Docents
Principal affiliation indicated
Eirola, Timo, D.Tech., applied mathematics (Helsinki University of Technology)
Eriksson-Bique, Sirkka-Liisa, Ph.D. (see above)
Haario, Heikki, Ph.D., applied mathematics (University of Helsinki)
Lindström, Riitta-Liisa, Ph.D., applied mathematics
Riihentaus, Juhani, Ph.D. (Technical College of Lappeenranta)
Seppälä, Mika, Ph.D. (Florida State University)
Winkler, Jörg, Prof.Dr. (Technische Universität Berlin)
Zajac, Jozef, Dr. (Academy of Poland)

Part time teaching assistants
Helkala, Kirsi
Joki, Jaakko, M.Sc.
Kaarakka, Terhi, M.Sc.
Kettunen, Jarkko, M.Sc.
Kilpeläinen, Marika
Kononen, Matti
Kotilainen, Marko
Mustonen, Lila, M.Sc.
Pakarinen, Rauno, M.Sc.
Päivinen, Niina, M.Sc.
Ramula, Ville
Rättyä, Jouni, M.Sc.
Saria, Maria
Silvennoinen, Heli, M.Sc.
Turtiainen, Eeva
Turunen, Ville
Venäläinen, Auli

Table 1: Faculty and staff ^§

	1991	1992	1993	1994	1995	1996	1997	1998	1999	2000
Professors	1	1	2	2	2	2	2,3	5,6	5	5,7
Associate professors	2	2	3	2,8	2,7	3	3	-	-	-
Lecturers	3	3	2	2	2	2	2,8	2,6	2	2
Senior assistants	2	3	3	3	3	3	3	3	2,7	2,3
Assistants	3	3	3	2,3	2,8	2,8	2,2	1,9	1,9	2,3
Total teaching staff	11	12	13	12,1	12,5	12,8	13,3	13,1	11,6	12,3
Full-time research staff *	3	4	7	9,6	10	9,9	8,5	10	8,7	7,5
Other full-time academic staff	2	2	2	2,3	2	2,8	2,1	3	1,9	1,5
Total academic staff	16	18	22	24	24,5	25,5	23,9	26,1	22,2	21,3
Permanent secretarial staff	1	1	1	1	1	1	1	1	1	1
Non-academic and training staff				2,3	5,2	4,7	4,7	5	3,5	1,5
Total full-time staff **	17	19	23	27,3	30,7	31,2	29,6	32,1	26,7	23,8
Docents	7	7	8	7	7	7	7	7	8	8
Senior scientist grants	0,5	1	0,5	0,5	-	-	-	0,5	1	1

_________________
^§ Number of positions up to 1993, excluding short-term temporary positions. The same applies for docents and senior scientist grants for 1994 and 1995. The other figures count, in each of the staff groups, the full-time man-years.

* Excluding senior scientist grants from the Academy of Finland, but including salaried graduate students.

** Excluding a shared library since 1990.
 

Faculty and staff at the end of the year 2000

Sex

	Men	Women
Professors	6	0
Senior assistants	2	0
Lecturers	2	0
Assistants	2	1
Researchers (including salaried graduate students)	3	5
Administrative staff	2	2
Total	17	8

Age

	-30	30-39	40-49	50-59	60-
Professors	0	0	2	4	0
Senior assistants	0	1	1	0	0
Lecturers	0	0	1	1	0
Assistants	3	0	0	0	0
Researchers (including salaried graduate students)	5	1	2	0	0
Administrative staff	0	1	1	2	0
Total	8	3	7	7	0

Degrees

	Ph.D.	Lic.Phil.	M.Sc.	other
Professors	6	0	0	0
Senior assistants	2	0	0	0
Lecturers	2	0	0	0
Assistants	1	0	2	0
Researchers (including salaried graduate students)	1	1	6	0
Administrative staff	0	0	2	2
Total	12	1	10	2

Department council
 

Professors	Deputy members
Rauno Aulaskari, Head of the Department (from 1.8.)	1. Timo Erkama
Ilpo Laine	2. Jukka Tuomela
Tuomas Sorvali
Other faculty and staff	Deputy members
Liisa Kinnunen (until 20.9.), Head of the Department (until 1.8.)	1. Pekka Smolander (until 31.5.)
Visa Latvala	Janne Heittokangas (from 31.5.)
Juhani Saastamoinen (until 31.5.)	2. Riitta Sinkkonen (until 20.9.)
Pekka Smolander (from 31.5.)	Terhi Kaarakka (from 20.9.)
Riitta Sinkkonen (from 20.9.)	3. Mika Haarala (until 3.4.)
	Martti Pesonen (from 3.4.)
Students	Deputy members
Petri Martikainen (until 27.11.)	1. Auli Venäläinen (until 27.11.)
Auli Venäläinen (from 27.11.)	2. Risto Salmela (until 27.11.)
Marko Inkinen (until 27.11.)	3. Jussi Nuutinen
Risto Salmela (from 27.11.)
Matti Lehmuskero

Administrative and academic positions

S.-L. Eriksson-Bique
    Docent of University of Helsinki

I. Laine
    Ann. Acad. Sci. Fenn. Math., member of editorial board
    Faculty of Science, dean
    Finnish Academy of Sciences and letters, member
    International Society for Analysis, Applications and Computation, member of board
    International Conference on Complex Analysis and Its Applications (Shenzhen 2000), member of scientific committee
    Rolf Nevanlinna Institute, member of scientific council
    18th Rolf Nevanlinna Colloquium (Helsinki 2000), member of scientific committee

M. Pesonen
    The first AMS-Scandinavian International Mathematics Meeting (Odense 2000) Special session: Mathematics Education, co-organizer

J. Riihentaus
    Docent of University of Oulu

J. Taskinen
    Finnish mathematical society, substitute member of the board
 

Teaching activities

Lecture courses and seminars
Teaching has been delivered in Finnish, unless otherwise specified

Spring semester 2000

Basic mathematics (J. Hyvönen)
Analysis 1 (L. Kinnunen)
Linear algebra (M. Pesonen)
Analysis 3 (I. Laine)
Probability theory (P. Smolander)
Applied analysis (T. Erkama)
School mathematics (T. Kaarakka, L. Mustonen)
Proseminar (T. Sorvali, J. Tuomela, J. Taskinen)
Analysis 4 (R. Aulaskari)
Geometry (J. Hyvönen)
Matrices (T. Erkama)
Functional analysis (J. Taskinen)
Mathematics of digital video (J. Saastamoinen)
Number theory (V. Latvala)
Finite element method (J. Tuomela)
Structural questions in mathematics (T. Sorvali)
Differential equations and dynamical systems (H. Junek)
Topics in geometry (E. Lehman, in english)
Applied mathematics (J. Tuomela, seminar)
Spaces of analytic functions (R. Aulaskari, seminar in english)
Differential equations in the complex domain (I. Laine, seminar in english)
Clifford algebras and potential theory (S.-L. Eriksson-Bique, seminar)

Fall semester 2000

General mathematics (M. Pesonen)
Basic mathematics (J. Hyvönen)
Introduction to mathematics (P. Smolander)
Analysis 2 (V. Latvala)
Differential equations (J. Tuomela)
Algebra (R. Aulaskari)
Metric spaces (J. Hyvönen)
Numerical analysis (T. Erkama)
Discrete mathematics (M. Pesonen)
Mathematical computing (M. Lehmuskero)
Communications in mathematics (J. Heittokangas, M. Kähkönen)
Complex analysis (J. Taskinen)
Dynamical systems (T. Erkama)
Topology (I. Laine)
Seminar (J. Taskinen)
Applied mathematics (J. Tuomela, seminar)
Spaces of analytic functions (R. Aulaskari, seminar in English)
Differential equations in the complex domain (I. Laine, seminar in English)

Appendix B

Publications

Refereed publications

R. Aulaskari: On Q_p functions. Complex analysis and related topics (E. Ramírez de Arellano et al., eds.), Oper. Theory Adv. Appl., 114, Birkhäuser, Basel, 2000, pp. 21-29.

R. Aulaskari & H. Wulan & R. Zhao: Carleson measures and some classes of meromorphic functions. Proc. Amer. Math. Soc. 128 (2000), 2329-2335.

G. A. Barsegian & I. Laine & C. C. Yang: Stability phenomenon and problems for complex differential equations with relations to shared values. Mat. Stud. 13 (2000), no. 2, 224-228.

J. Bonet & J. Taskinen: Subspace problem for weighted inductive limits revisited. Rocky Mountain Math. J. 30 (2000), no. 1, 85-99.

L. Dieci & T. Eirola: Applications of smooth orthogonal factorizations of matrices. Numerical methods for bifurcation problems and large-scale dynamical systems (Minneapolis, 1997), IMA Vol. Math. Appl., 119, Springer, New York, 2000, pp. 141-162.

S.-L. Eriksson-Bique: Mixed lattice groups. Rev. Roumaine Math. Pures. Appl. 44 (1999), 171-180.

S.-L. Eriksson-Bique & H. Leutwiler: Hypermonogenic functions. Clifford algebras and their applications in mathematical physics, vol. 2 (J. Ryan and W. Sprößig, eds.), Progress in Physics, 19, Birkhäuser, Boston, 2000, pp. 287-302.

M. Essén & H. Wulan: Carleson type measures and their applications. Complex Variables Theory Appl. 42 (2000), 67-88.

Z. Hao & L. Feng & Y. Chen & D. Yang: On the homological modules of generalized triangular matrix rings. Representations and quantizations (Shanghai, 1998), China High. Educ. Press, Beijing, 2000, pp. 199-211.

J. Heittokangas: On complex differential equations in the unit disc. Ann. Acad. Sci. Fenn. Math. Diss. No. 122 (2000).

J. Heittokangas & I. Laine & J. Rieppo & D. Yang: Meromorphic solutions of some linear functional equations. Aequationes Math. 60 (2000), 148-166.

K. Ishizaki & I. Laine & S. Shimomura & K. Tohge: Riccati differential equations with elliptic coefficients. Result. Math. 38 (2000), 58-71.

I. Laine & P. Wu: Growth of solutions of second order linear differential equations. Proc. Amer. Math. Soc. 128 (2000), 2693-2703.

V. Latvala: A theorem on fine connectedness. Potential Analysis 12 (2000), 221-232.

M. Pesonen & T. Malvela: A reform in undergraduate mathematics curriculum: more emphasis on social and pedagogical skills. Int. J. Math. Educ. Sci. Technol. 31 (2000), 113-124.

J. Riihentaus: Subharmonic functions: non-tangential and tangential boundary behavior. Function spaces, differential operators and nonlinear analysis (Pudasjärvi, 1999), Acad. Sci. Czech Republic, Prague, 2000, pp. 229-238.

J. Riihentaus: Removable sets for subharmonic functions, Pacific J. Math. 194 (2000), no. 1, 199-208.

J. Tuomela: A geometric analysis of a singular ODE related to the study of a quasilinear PDE, Electron. J. Differential Equations 2000, no. 62.

J. Tuomela & T. Arponen: On the numerical solution of involutive ordinary differential systems, IMA J. Numer. Anal. 20 (2000), 561-599.

D. Yang: Studies on functional and differential equations related to iteration theory. Univ. Joensuu Dep. Math. Rep. Ser. No. 3 (2000).
 

Other publications

S.-L. Eriksson-Bique: Hyperholomorphic functions in R⁴. Proceedings of the 2nd Conference on Quaterionic Structures in Mathematics and Physics, ftp://www.mat.uniroma1.it/public/library/QSMP2/contents.html.

J. Kinnunen & V. Latvala: Lebesgue points for Sobolev functions on metric spaces. Reports of the Department of Mathematics, University of Helsinki, Preprint 259 (2000).

I. Laine: Infosystems at Finnish faculties of science. Modern infosystems at faculties of science, Comenius University, Bratislava, 1999, pp. 7-16.

V. Latvala: On the continuity of weak solutions of non-uniformly elliptic pde's. Institute Mittag-Leffler. Report no. 11, 1999/2000.

S. Pesonen: Matematiikan aineopintojen vaikutuksesta tulevan luokanopettajan matematiikkakuvaan. Tietoa ja toimintaa: matematiikan ja luonnontieteiden opetuk-sen tutkimuksia (toim. M. Ahtee ja T. Asunta). Tutkiva opettaja 2/2000, s. 52-71.

S. Pesonen: What kind of mathematics for prospective primary school teachers? Research on mathematical beliefs: proceedings of the MAVI-9 European Workshop, June 1-5, 2000, University of Vienna, Austria (S. Götz and G. Törner, eds.), Gerhard Mercator Universität, Duisburg, 2000, s. 79-83.

T. Sorvali: Onko kirjastolla itseisarvoa? Joensuun yliopiston kirjasto 30 vuotta (toim. T. Nurminen), Joensuu 2000, s. 7-11.
 

Refereeing activities

R. Aulaskari
    Constructive Approximation
    Zbl. Math.

S.-L. Eriksson-Bique
    Math. Rev.
    Transactions of Signal Processing
    Zbl. Math.

I. Laine
    Aequationes Math.
    Ann. Acad. Sci. Fenn.
    Archiv der Math
    Bull. London Math. Soc.
    Gordon & Breach
    J. Analyse Math.
    J. Math. Physics
    Math. Rev.
    Math. Z.
    Zbl. Math.

J. Taskinen
    Ann. Acad. Sci. Fenn.
    Bulletin of the Belgian Math.Soc.

J. Tuomela
    BIT
 

International cooperation in science and education

Scientific visits to Joensuu
Lectures indicated in italics

Adrian Bahno (Comenius University, Bratislava) 11.9.-30.11.2000
    Mathematics education - new trends, methods and concepts of mathematics education

Walter Bergweiler (TU Berlin) 31.5.-4.6.2000

Igor Chyzhykov (Lviv National University) 30.7.-3.8.2000
    Petrenko's deviations

Mahmoud Filali (University of Oulu) 7.-8.9.2000
    Recent developments on the ideal structure of the second dual of a group algebra and some related Banach algebras

Stefan Geiss (University of Jyväskylä) 7.-8.9.2000
    On an almost solved problem concerning Banach spaces with the UMD-property

Valery Gromak (Belarus State University, Minsk) 30.7.-3.8.2000
    Introduction to Painlevé differential equations

Gary Gundersen (University of New Orleans) 30.7.-3.8.2000
    Introduction to complex functional equations

He Yuzan (Academia Sinica, Beijing) 30.7.-3.8.2000
    Value distribution of the higher order second Painlevé equation

Jarmo Hietarinta (University of Turku) 30.7.-3.8.2000
    Is my ODE a Painlevé equation in disguise?

Aimo Hinkkanen (University of Urbana) 30.7.-3.8.2000
    Sharp error term in the Nevanlinna theory

Heinz Junek (University of Potsdam) 13.-25.2.2000
    Introduction to differential equations and dynamical systems

Pekka Koskela (University of Jyväskylä) 7.-8.9.2000
    Sobolev spaces on metric spaces

Eric Lehman (Université de Caen) 1.3.-31.5.2000
    Topics in geometry

Mikael Lindström (University of Turku) 7.-8.9.2000
    Weakly compact homeomorphisms on uniform algebras

Erwin Mues (Universität Hannover) 14.-19.6.2000
    On meromorphic functions sharing four values

Andrei Osipov (Russian Academy of Sciences, Moscow) 7.-8.9.2000
    On an inverse problem and some spectral properties of the difference operators with matrix coefficients in terms of orthogonal polynomials

Alfredo Peres (Valencia) 13.-17.9.2000
    Hypercyclic and chaotic polynomials on Banach spaces

Eero Saksman (University of Helsinki) 7.-8.9.2000
    Analysis for Dirichlet series

Andreas Sauer (Universität Duisburg) 27.11.-3.12.2000
    Meromorphic functions with shared limit values

Shun Shimomura (Keio University, Yokohama) 30.7.-3.8.2000
    Meromorphic solutions of Painlevé differential equations

Olof Staffans (University of Turku) 7.-8.9.2000
    Well-posed linear systems, Lax-Phillips scattering, and L^p-multipliers

Matti Tienari (University of Oulu) 7.-8.9.2000
    Mappings in complementary systems

Kazuya Tohge (Kanazawa University) 3.5.-30.9.2000

Luis Manuel Tovar (Mexico City) 6.-25.6.2000

Ville Turunen (Helsinki University of Technology) 7.-8.9.2000
    (Applicable) Fourier analysis of linear operators acting on distributions on compact Lie groups

Hans-Olav Tylli (University of Helsinki) 7.-8.9.2000
    Survey of elementary operators on algebras of operators

Hasi Wulan (Shantou University) 28.7.-22.9.2000
    Characterizations of Q_T spaces (8.9.2000)

Chung-Chun Yang (Hong Kong Univ. of Science and Technology) 30.7.-3.8.2000
    Some applications of value distribution theory

Yang Degui 1.2.1998-5.8.2000
    Meromorphic solutions of some differential equations (3.8.2000)
 

Administrative and educational international meetings and scientific visits to foreign institutes
Lectures indicated in italics

R. Aulaskari
    University of Malaga 5.-12.2.2000; On inequalities for Q_p functions
    Sultan Qaboos University, Muscat 17.-25.11.2000; Survey on Q_p; On q_p sequences

S.-L. Eriksson-Bique
    Universität Erlangen-Nürnberg 1.3.2000-3.3.2001

J. Hirvonen
    Universität Erlangen-Nürnberg 1.9.-30.11.2000

J. Kettunen
    Universität Erlangen-Nürnberg 1.9.-30.11.2000

I. Laine
    Vilnius University 25.-28.3.2000; Research quality assessment at a faculty
    University of York 1.-11.5.2000; Nevanlinna theory and diophantine approximations
    University of Erlangen 29.6.2000; Solutions of Painlevé equations
    Deans European Academic Network 2000 Conference, Lontoo 4.-6.9.2000
    Comenius University, Bratislava, 21.-30.9.2000; Solutions of Painlevé equations
    Comenius University, Bratislava, 16.-19.11.2000; Remarks on internal funding allocation
    Universität Graz 10.-18.12.2000; Recent results and open problems on Painlevé differential equations; Remarks on complex difference equations

J. Saastamoinen
    ECMI Educational Committee meeting, Muenchweiler a.d. Alsenz 29.-30.1.2000

T. Sorvali
    École Polytechnique Fédérale de Lausanne, 5.-9.7.2000

J. Tuomela
    Aristotle University of Thessaloniki, 18.-24.5.2000
 

Participation in international scientific conferences
Lectures indicated in italics

Bayeriche mathematische Kolloquim, Eichstätt 27.-28.4.2000
    S.-L. Eriksson-Bique

NORDAN 2000, Örnsköldsvik 5.-7.5.2000
    J. Riihentaus: Subharmonic functions: non-tangential and tangential boundary behavior (invited)

Advanced Integration Methods for Molecular Dynamics Simulation, Lyon 15.-17.5.2000
    J. Tuomela

International Conference on Entire and Meromorphic Functions, Lviv 23.-24.5.2000
    I. Laine: Meromorphic solutions of generalized Schröder equations (Invited plenary)

MAVI-9, Wien 1.-5.6.2000
    S. Pesonen: What kind of mathematics for prospective primary school teachers?

22. Finnish Summer School on Probability Theory, Lahti 5.-9.6.2000
    T. Kaarakka

AMS Scand 2000, Odense 15.-16.6.2000
    M. Pesonen (organizer of teaching session), S. Pesonen

Fachtagung Potentialtheorie, Rückblick und Perspektive, Eichstätt 30.6.-1.7.2000
    S.-L. Eriksson-Bique, I. Laine

12th ECMI Modelling Week, Lund 1.-10.7.2000
    M. Kähkönen

International Functional Analysis Meeting, Valencia 3.-7.7.2000
    J. Taskinen: On the continuity of Bergman and Szegö projections

3. World Congress of Nonlinear Analysts, Catania 19.- 26.7.2000
    J. Tuomela: Geometry, algebra and (overdetermined) differential equations

Complex Differential and Functional Equations, Mekrijärvi 30.7.-3.8.2000
    I. Laine: Introduction to complex differential equations
    J. Heittokangas, R. Korhonen, J. Rättyä, H. Silvennoinen

International Congress on Mathematical Education, Tokio 31.7.-6.8.2000
    L. Kinnunen

International Conference of Clifford Algebras and Its Applications to Mathematical Physics, Beijing 1.-7.8.2000
    S.-L. Eriksson-Bique: Hypermonogenic functions and Möbius transformations.

18. Rolf Nevanlinna -colloquium, Helsinki 8.-12.8.2000
    T. Erkama, J. Heittokangas, R. Korhonen, I. Laine, J. Riihentaus

International Conference on Complex Analysis and its Applications, Shenzhen 18.-21.8.2000
    I. Laine: Meromorphic solutions of complex functional equations (Invited)

Mathematical Modeling in Finance and Telecommunications, Nauvo 19.-22.8.2000
    T. Kaarakka

Finnish Functional Analysis Days 2000, Joensuu 7.-8.9.2000
    R. Aulaskari: On sequences of q_p points
    V. Latvala: Pointwise behaviour of Sobolev functions on metric spaces

11. ECMI Conference, Altavilla Milicia (Palermo) 26.-30.9.2000
    N. Päivinen

New Trends in Complex Analysis and Potential Theory, Lviv 6.-9.10.2000
    R. Aulaskari: On non little normal functions.
    J. Heittokangas: On the growth of meromorphic solutions of algebraic differential equations in the unit disc
    I. Laine

Finance, Statistics and Stochastics, Helsinki 26.-27.10.2000
    T. Kaarakka

NATO Advanced Research Workshop Clifford Analysis and its Applications, Praha 30.10.-3.11.2000
    S.-L. Eriksson-Bique: Hyperholomorphic functions in R⁴. (invited)
    J. Hirvonen, J. Kettunen

Appendix C

Student statistics

Mathematics major students
 

	1992	1993	1994	1995	1996	1997	1998	1999	2000
Mathematics teacher	104	109	127	129	137	141	131	117	116
Mathematics	104	107	105	102	104	90	80	75	85
Applied mathematics	21	20	28	33	37	31	35	28	20
Signal analysis							4	5	4
Total	229	236	260	264	278	262	250	225	225

Degrees granted in mathematics
 

	1992	1993	1994	1995	1996	1997	1998	1999	2000
M.Sc	5	10	15	18	27	18	17	28	28
Lic. Phil.	1	1	1	1	4	2	5	1	2
Ph.D.	0	1	3	0	1	0	4	1	2

Ph.D. theses

Degui Yang: Studies on functional and differential equations related to iteration theory
Janne Heittokangas: On complex differential equations in the unit disc

Lic. Phil. theses
(originally in Finnish)

Risto Korhonen: Logarithmic derivative lemma and second main theorem in Nevanlinna theory
Heli Silvennoinen: On meromorphic solutions of the functional equation f(p(z)) = q(f(z))+h(z)

M.Sc. theses
(in Finnish)

Joni Anttonen: Aikuisväestön asenteista matematiikkaa kohtaan
Pasi Eskelinen: Lyhimmät verkostot
Ville Holopainen: Reaalilukujen approksomoinnista transkendenttilukuihin
Tero Höglund: Pythagoras
Pasi Karvonen: Hyperbolinen geometria
Aki Kivipato: Puolijatkuvat numeeriset funktiot
Kimmo Korhonen: Platonin monitahokkaiden kiertojen ryhmät
Reeta Kuukasjärvi: Reaalianalyyttiset funktiot: S. Bernsteinin lause
Mari Kähkönen: Epälineaarinen optimointi ja sen sovellus kunnallisten palveluiden hinnoitteluun
Anna Laakso: Klassista tasogeometriaa
Henri Lappalainen: Suhde ja verranto
Matti Lehmuskero: Synteettinen kuvanmuodostus ja optimointi valaistuksen määrittämisessä
Vesa Lehtomäki: Euklidista geometriaa - historiaa ja nykypäivää
Timo Martiskainen: Nelikulmioiden jaottelu ja tasopakkaus säännöllisillä monikulmioilla sekä tähtimonikulmioilla
Arja Miinalainen: Dirichlet'n lause
Sami Mikkonen: Kilpailumatematiikkaa
Antti Mäkinen: Erotteluaksioomat ja upotus Hilbertin kuutioon
Minna Nykänen: Hamiltonin systeemin numeerinen ratkaiseminen
Katja Peltonen: Tekijäavaruudet
Niina Päivinen: Iteratiivisista menetelmistä lineaarisille yhtälöryhmille
Miia Rajakangas: Fourier-sarjat jaksollisten funktioiden kuvaamisessa
Riikka Reidel: Konformi- ja kvasikonformikuvauksista
Katja Riihiilä: Lebesguen mitta ja integraali
Markku Salminen: Rajoitetun Hamiltonin systeemin numeerinen ratkaiseminen
Ari Shemeikka: Pallogeometriasta tähtitieteeseen
Mari Tuikka-Kyllönen: Elliptiset integraalit
Jani Tukiainen: Puuston luokittelu ilmakuvasta
Sari Vatanen: Derivaatasta
 

International student exchange

Student exchange to Joensuu
Matthias Chapel, Caen University, 1.9.1999-30.6.2000 (Socrates)

Student exchange to foreign institutes
Maria Saria, Montana, academic year 1999-2000 (ISEP)
Anu Kokko, Nottingham, 10/1999-2/2000 (Socrates)
Hanna Lehtola, Nottingham 8-12/2000 (Socrates)
Kaisa Pitkänen, Madrid 9/2000-6/2001 (Socrates)
Ville Normi, Aachen 10/1999-2/2000 (Socrates)