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Waarom wiskunde?

                  Het belang van wiskunde
                  bij economische opleidingen




Decanen- en          Herbert Hamers
docentendag          H.J.M.Hamers@tilburguniversity.edu
24 januari 2013
• bacheloropleidingen TiSEM
• toepassingen wiskunde in de economie
• welke wiskunde in economie
• aansluiting VO – WO
bacheloropleidingen TiSEM

Fiscale Economie
(Wis 1, Stat 1: 12 ECTS)

Bedrijfseconomie
Economie & Bedrijfseconomie
International Business Administration
(Wis 1,2, Stat 1,2 : 24 ECTS)

Economics
(Math 1,2, Stat, Econometrics: 24 ECTS)

Econometrie & Operationele Research
(Beta-opleiding: 60 ECTS wis/stat
                 overige vakken gebruiken wis/stat)
toepassingen wiskunde in de economie
1. Optimaliseren functies van 1 variabele

Micro economie:
• Aanbodkromme producent
toepassingen wiskunde in de economie

Operations management:
• Voorraadbeheer
toepassingen wiskunde in de economie
 2. Optimaliseren functies van 2 variabelen

 Micro economie:
 • winstmaximalisatie producent
toepassingen wiskunde in de economie
   3. Optimaliseren onder nevenvoorwaarde

Micro economie:
• consumentengedrag
• producentengedrag
toepassingen wiskunde in de economie


  Financiering:
  • Moderne portefeuille theorie

                                      Mean-Risk profile
           0.14


           0.12


            0.1

                                                  20% AHOLD 80% KLM
           0.08
    Mean




           0.06


           0.04 100% Riskfree


           0.02


             0
                  0    0.1      0.2    0.3         0.4    0.5    0.6   0.7
                                         Volatility
toepassingen wiskunde in de economie
  4. Integralen
    Micro economie:
    • consumentengedrag
toepassingen wiskunde in de economie


   Statistiek:
   • kansverdelingen
toepassingen wiskunde in de economie
  5. Matrixrekenen
   Macro economie:
   • input output modellen
toepassingen wiskunde in de economie
  6. Linear programmeren
   Operations management:
   • optimalisatie productieproces
toepassingen wiskunde in de economie
  7. Speltheorie
   Micro economie:
   • strategisch gedrag
welke wiskunde in economie
                           Oplossen (on)gelijkheden
                           Differentiëren
                           Integreren
Bedrijfseconomie
                           Matrixrekenen
Economie &                 Dynamische modellen
Bedrijfseconomie
                           Lineair programmeren
International Business     Speltheorie
Administration

Economics                  Beschrijvende statistiek
                           Betrouwbaarheidsintervallen

                           Regressie analyse

                           (wiskundige methoden en technieken
                           toepassen)
welke wiskunde in economie


                        Analyse
Econometrie &           Lineaire Algebra
Operationele Research   Combinatorische optimaliseren
                        Differentiaal en integratie theorie
                        Kansrekenen



                        (Niet alleen toepassen methoden en technieken,
                         maar ook zelf nieuwe methoden en technieken
                        ontwikkelen)
aansluiting VO – WO
Toelatingseisen:
Fiscale Economie

Bedrijfseconomie

Economie &
Bedrijfseconomie         Wiskunde A
International Business
Administration

Economics




Econometrie &
Operationele Research    Wiskunde B
Initiatieven TiSEM met betrekking tot aansluiting
VO-WO


1. Research based learning
   voor wiskunde:
    - hoorcolleges (grote groepen (150-200))
    - werkcolleges (kleine groepen (40))
    - e-learning omgeving
http://cdata3.uvt.nl/wiskundevoorbedrijfseconomen/
Initiatieven TiSEM met betrekking tot aansluiting
VO-WO


 2. Summerschool wiskunde

 3. Wiskunde B en D project
  http://www.tilburguniversity.edu/wiskunded

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Decanendag2013_HerbertHamers

  • 1. Waarom wiskunde? Het belang van wiskunde bij economische opleidingen Decanen- en Herbert Hamers docentendag H.J.M.Hamers@tilburguniversity.edu 24 januari 2013
  • 2. • bacheloropleidingen TiSEM • toepassingen wiskunde in de economie • welke wiskunde in economie • aansluiting VO – WO
  • 3. bacheloropleidingen TiSEM Fiscale Economie (Wis 1, Stat 1: 12 ECTS) Bedrijfseconomie Economie & Bedrijfseconomie International Business Administration (Wis 1,2, Stat 1,2 : 24 ECTS) Economics (Math 1,2, Stat, Econometrics: 24 ECTS) Econometrie & Operationele Research (Beta-opleiding: 60 ECTS wis/stat overige vakken gebruiken wis/stat)
  • 4. toepassingen wiskunde in de economie 1. Optimaliseren functies van 1 variabele Micro economie: • Aanbodkromme producent
  • 5. toepassingen wiskunde in de economie Operations management: • Voorraadbeheer
  • 6. toepassingen wiskunde in de economie 2. Optimaliseren functies van 2 variabelen Micro economie: • winstmaximalisatie producent
  • 7. toepassingen wiskunde in de economie 3. Optimaliseren onder nevenvoorwaarde Micro economie: • consumentengedrag • producentengedrag
  • 8. toepassingen wiskunde in de economie Financiering: • Moderne portefeuille theorie Mean-Risk profile 0.14 0.12 0.1 20% AHOLD 80% KLM 0.08 Mean 0.06 0.04 100% Riskfree 0.02 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Volatility
  • 9. toepassingen wiskunde in de economie 4. Integralen Micro economie: • consumentengedrag
  • 10. toepassingen wiskunde in de economie Statistiek: • kansverdelingen
  • 11. toepassingen wiskunde in de economie 5. Matrixrekenen Macro economie: • input output modellen
  • 12. toepassingen wiskunde in de economie 6. Linear programmeren Operations management: • optimalisatie productieproces
  • 13. toepassingen wiskunde in de economie 7. Speltheorie Micro economie: • strategisch gedrag
  • 14. welke wiskunde in economie Oplossen (on)gelijkheden Differentiëren Integreren Bedrijfseconomie Matrixrekenen Economie & Dynamische modellen Bedrijfseconomie Lineair programmeren International Business Speltheorie Administration Economics Beschrijvende statistiek Betrouwbaarheidsintervallen Regressie analyse (wiskundige methoden en technieken toepassen)
  • 15. welke wiskunde in economie Analyse Econometrie & Lineaire Algebra Operationele Research Combinatorische optimaliseren Differentiaal en integratie theorie Kansrekenen (Niet alleen toepassen methoden en technieken, maar ook zelf nieuwe methoden en technieken ontwikkelen)
  • 16. aansluiting VO – WO Toelatingseisen: Fiscale Economie Bedrijfseconomie Economie & Bedrijfseconomie Wiskunde A International Business Administration Economics Econometrie & Operationele Research Wiskunde B
  • 17. Initiatieven TiSEM met betrekking tot aansluiting VO-WO 1. Research based learning voor wiskunde: - hoorcolleges (grote groepen (150-200)) - werkcolleges (kleine groepen (40)) - e-learning omgeving http://cdata3.uvt.nl/wiskundevoorbedrijfseconomen/
  • 18. Initiatieven TiSEM met betrekking tot aansluiting VO-WO 2. Summerschool wiskunde 3. Wiskunde B en D project http://www.tilburguniversity.edu/wiskunded