Christer Oscar Kiselman: Courses I have taught

• At Stockholm University, Department of Mathematics:
  • 1961, Spring: Exercises for first-semester students / Proseminarier för ett betyg.
  • 1961, Fall: Exercises for second-semester students / Proseminarier för två betyg.
  • 1962, Spring: Exercises for second-semester students / Proseminarier för två betyg.
  • 1962, Fall: Exercises for second-semester students / Proseminarier för två betyg.
  • 1963, Fall: Analysis for second-semester students / Analys för två betyg.
  • 1964, Spring: Analysis for second-semester students / Analys för två betyg.
  • 1964, Fall: Algebra for second-semester students / Algebra för två betyg.
  • 1965, Spring: Exercises for second-semester students. / Proseminarier för två betyg.
  • 1966, Fall: Analysis on manifolds / Analys på mångfalder.
  • 1967, Spring: Functional analysis / Funktionalanalys.
  • 1967, Fall: Differential calculus in infinite-dimensional spaces / Differentialkalkyl i oändlig-dimensionella rum.
• At Université de Nice:
  • 1967-68: Fonctions d'une variable complexe.
  • 1967-68: Notions de logique.
  • 1967-68: Espace métriques, espaces vectoriels, espaces normés, calcul différentiel.
  • 1967-68: Espaces hilbertiens.
• At Uppsala University, Department of Mathematics:
  • 1968, Fall: Integration theory / Integrationsteori.
  • 1968, Fall: Sheaves / Kärvar.
  • 1969, Spring: Distribution theory with applications / Distributionsteori med tillämpningar.
  • 1969, Spring: Hyperfunctions / Hyperfunktioner.
• At Stockholm University, Department of Mathematics:
  • 1969, Fall: Complex analysis in several variables / Komplex analys i flera variabler.
• At Uppsala University, Department of Mathematics:
  • 1970, Spring: Topology / Topologi D.
  • 1970, Fall: Differential equations / Differentialekvationer D.
  • 1971, Spring: Complex analysis in several variables / Komplex analys i flera variabler.
  • 1971, Fall: Functional analysis (topological vector spaces) / Funktionalanalys I (topologiska vektorrum).
  • 1972, Spring: Functional analysis (Hilbert spaces, spectral theory) / Funktionalanalys II (Hilbertrum, spektralteori).
  • 1972, Spring: Complex analysis in infinite-dimensional spaces / Komplex analys i oändligdimensionella rum.
  • 1972, Fall: Differential equations / Differentialekvationer.
  • 1973, Spring: Analysis / Analys III.
  • 1973, Spring: Local theory for analytic functions / Lokal teori för analytiska funktioner (lokal analytisk geometri).
  • 1973, Fall: Integration theory / Integrationsteori.
  • 1973, Fall: Analytic functions / Analytiska funktioner C1.
  • 1974, Spring: Differential forms and currents / Differentialformer och strömmar.
  • 1974, Fall: Distribution theory / Distributionsteori D1.
  • 1975, Spring: Algebra / Algebra C1.
  • 1975, Fall: Analytic functions / Analytiska funktioner C1.
  • 1975, Fall: Convex, subharmonic, and plurisubharmonic functions / Konvexa, subharmoniska och plursubharmoniska funktioner.
  • 1975, Fall: Distribution theory / Distributionsteori D1.
• At Université Pierre et Marie Curie (Paris VI):
  • 1976, Spring: Analyse complexe dans les espaces vectoriels topologiques. (Applications holomorphes dans les espaces vectoriels complexes; Fonctions plurisousharmoniques; Pseudoconvexité, domaines d'holomorphie; Le rayon de convergence.)
• At Uppsala University, Department of Mathematics:
  • 1976, Fall: Complex analysis / Komplex analys.
  • 1977, Spring: Distribution theory and harmonic analysis.
  • 1977, Fall: Partial differential equations / Partiella differentialekvationer.
  • 1978, Spring: Mathematical methods for non-linear problems / Matematiska metoder för icke-lineära problem.
  • 1978, Fall: Integration theory / Integrationsteori D.
  • 1979, Fall: Fourier integral operators / Fourierintegraloperatorer.
  • 1980, Spring: Complex analysis / Komplex analys D.
  • 1980, Fall: Integration theory / Integrationsteori D.
  • 1981, Fall: Functional analysis / Funktionalanalys.
  • 1982, Spring: Functional analysis / Funktionalanalys.
  • 1982, Fall: Differenatial calculus and generalized functions / Differentialkalkyl och generaliserade funktioner.
  • 1983, Spring: Representation theory for groups / Representationsteori för grupper.
  • 1984, Spring: Partial differential operators / Partiella differentialoperatorer.
  • 1984, Fall: Complex analysis / Komplex analys FM1.
  • 1985, Spring: Differential geometry / Differentialgeometri D.
  • 1985, Fall: Fractal geometry / Fraktalgeometri.
  • 1986, Spring: Complex analysis / Komplex analys D.
    The first part of the course was named Convexity in one-dimensional complex analysis and the first ten hours were presented in Esperanto (see my notes 86-A).
  • 1986, Fall: Complex analysis in several variables / Komplex analys i flera variabler.
  • 1987, Spring: Distribution theory / Distributionsteori D.
  • 1988, Fall: Real and complex analysis / Reell och komplex analys.
  • 1989, Spring: Representation theory for groups / Representationsteori för grupper.
  • 1989, Fall: Convolution operators.
  • 1990, Spring: Linear and convex optimization / Lineär och konvex optimering.
• At the International Academy of Sciences, AIS (its Seventh University Session in San Marino):
  • 1990 September: Konveksaj aroj kaj funkcioj.
• At Uppsala University, Department of Mathematics:
  • 1990, Fall: Functional analysis / Funktionalanalys.
  • 1991, Spring: Convexity and optimization / Konvexitet och optimering.
  • 1991, Fall: Nonsmooth analysis / Icke-glatt analys.
  • 1992, Spring: Theory for differential equations / Teori för differentialekvationer.
• At the International Academy of Sciences, AIS (a University Session in Brandýs nad Labem):
  • 1992 March 27 – April 04: La teorio pri distribucioj.
• At Uppsala University, Department of Mathematics:
  • 1992, Fall: Integration theory / Integrationsteori D.
  • 1993, Spring: The Radon transformation / Radontransformationen.
  • 1993, Fall: Functional analysis / Funktionalanalys.
  • 1994, Spring: Functional analysis, cont'd / Funktionalanalys (fortsättning).
  • 1994, Fall: Pseudodifferential Operators.
  • 1995, Spring: Pseudodifferential Operators.
  • 1995, Fall: Fourier analysis / Fourieranalys MN1.
  • 1996, Fall: Fourier analysis / Fourieranalys MN1.
  • 1997, Spring: Distribution theory / Distributionsteori D.
  • 1997, Fall: The Radon transformation. This transformation is named for Johan Radon (1887–1956).
  • 1998, Spring: Theory for differential equations / Teori för differentialekvationer.
  • 1998, Fall: Approximation Theory. I have prepared notes on the main part of this course, Approximation by Polynomials. It is available as UUDM Lecture Notes 1999:LN1, 40 pages, as well as here: DVI (167 kB) - PS (422 kB) - PDF (328 kB).
  • 1999, Spring: Distribution Theory. Diary: The lectures day by day: DVI - PS - PDF. Lecture notes: On some especially interesting distributions: DVI - PS - PDF.
  • 1999, Fall: Analysis and Geometry. Notes from this course with the title Lectures on Geometry are available as UUDM Lecture Notes 2001:LN1, 42 pages, as well as here. DVI (197 kB) - PS (607 kB) - PDF (373 kB).
• At Katedralskolan, Uppsala (Cathedral High School):
  • 1999, Fall: Esperanto.
• At Uppsala University, Department of Mathematics:
  • 2000, Spring: Transforms in computing / Transformer för beräkningar.
• At Katedralskolan, Uppsala (Cathedral High School):
  • 2000, Spring: Esperanto.
• At Uppsala University, Department of Mathematics:
  • 2000, Fall: Fourier Methods / Fouriermetoder.
  • 2001, Spring: Transforms in computing / Transformer för beräkningar.
  • 2001, Fall: Fourier Methods / Fouriermetoder.
  • 2002, Spring: Digital Geometry and Mathematical Morphology.
  • 2002, Fall: Partial Differential Equations and Riemannian Geometry, a course for the Graduate School in Mathematics and Computing (FMB) given in collaboration with Tobias Ekholm and Bertil Gustafsson.
  • 2003, Spring: Ill-Posed Problems / Illa ställda problem.
  • 2003, Fall: Specialkurs i matematik NV1 / Honors Course.
  • 2004, Spring: Digital Geometry and Mathematical Morphology.
  • 2004, Fall: Specialkurs i matematik NV1 / Honors Course.
  • 2005, Spring: Specialkurs i matematik NV2 / Honors Course.
  • 2005, Fall: Partial Differential Equations (4 credit points) and Partial Differential equations D (6 credit points).
  • 2005, Fall: Specialkurs i matematik NV1 / Honors Course.
• At Uppsala University, Centre for Image Analysis:
  • 2007, Summer: Digital Geometry. A course at the Summer School in Digital Geometry and Mathematical Morphology of the Swedish Society for Automated Image Analysis (SSBA) in Uppsala 2007 August 14–17, presented together with Pierre Soille.
• At Warszawska Szkoła Zarządzania, Szkoła Wyższa:
  • 2017, September: Digita geometrio, matematika morfologio kaj diskreta optimumado. A course held in Warsaw during the 34th University Session of the International Academy of Sciences San Marino (AIS), 2017 September 10–15.