Luonnontieteden kandidaatin tutkinto, matematiikan aineenopettajakoulutus
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The language used was temporarily changed. Personal information page allows you to save your language settings.Organisation: | Mathematics |
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Year: | 2015-2016 |
Location: | Aktiiviset |
Further information: | |
Contents: | |
[F]Tavoitteet: | |
Minimum amount of ECTS credits: |
180 |
[F]Tutkinnon taso: | Bachelor |
Degree name: | Bachelor of Science |
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Degree structure elements
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! Pääaineopinnot, 85 ECTS
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! Matematiikan perus- ja aineopinnot (aineenopettajakoulutus), 85 ECTS
- ! MATP100 Introduction to Mathematics (2 - 3 ECTS cr.)
- ! MATP121 Linear Algebra and Geometry 1 (6 - 7 ECTS cr.)
- ! MATP311 Introduction to Real Functions (5 ECTS cr.)
- ! MATP312 Limits and Continuity (5 ECTS cr.)
- ! MATA116 Derivative and Integral A (5 ECTS cr.)
- ! MATA117 Derivative and Integral B (5 ECTS cr.)
- ! MATA122 Linear Algebra and Geometry 2 (4 ECTS cr.)
- ! MATA113 Series and Approximation (4 - 5 ECTS cr.)
- ! MATA114 Differential Equations (3 - 4 ECTS cr.)
- ! MATA251 Multivariable calculus 1A (5 ECTS cr.)
- ! MATA252 Multivariable calculus 1B (5 ECTS cr.)
- ! MATA253 Multivariable calculus 2A (5 ECTS cr.)
- ! MATA221 Algebra 1: Groups (5 ECTS cr.)
- ! MATA920 (6 ECTS cr.)
- ! TILA121 Probability (5 ECTS cr.)
- ! MATA128 Eyklidean Plane Geometry (4 ECTS cr.)
- ! MATA151 Number Theory 1 (4 ECTS cr.)
- ! Valinnaisia MATAxxx opintoja, 3 ECTS
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! Matematiikan perus- ja aineopinnot (aineenopettajakoulutus), 85 ECTS
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! Sivuaineiden opinnot, 50 ECTS
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! Basic studies in education, 25 ECTS
- ! KTKP010 Learning and Guidance (5 ECTS cr.)
- ! KTKP020 Education, Society and Change (5 ECTS cr.)
- ! KTKP030 Knowing and Expertise (5 ECTS cr.)
- ! KTKP040 Scientific Thinking and Knowledge (5 ECTS cr.)
- ! KTKP050 Interaction and Collaboration (5 ECTS cr.)
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! Basic studies in education, 25 ECTS
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! Viestintä- ja kieliopinnot sekä henkilökohtainen opintosuunnitelma, 7 ECTS
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! Äidinkieli, 2 ECTS
- Kirjoitusviestintä, 0 ECTS
- Puheviestintä, 0 ECTS
- ! Toinen kotimainen kieli, 2 ECTS
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! Vieras kieli, 2 ECTS
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Englanti, 2 ECTS
- XENM001 Academic Reading (2 ECTS cr.)
- XENM003 Communication Skills (2 ECTS cr.)
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Espanja, 2 ECTS
- XES0010 Espanjan tekstikurssi (2 - 3 ECTS cr.)
- XES0017 Espanjan keskusteluharjoitukset (3 ECTS cr.)
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Ranska, 2 ECTS
- XRA0019 Ranskan kielen suullinen taito (3 ECTS cr.)
- XRA0021 Text and Culture (3 ECTS cr.)
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Saksa, 2 ECTS
- XSA0103 Oral Skills in German (2 - 3 ECTS cr.)
- tai korvaavana kokeena, 2 ECTS
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Venäjä, 2 ECTS
- XVE0010 Venäjän tekstikurssi 1 (3 ECTS cr.)
- tai korvaavana kokeena, 2 ECTS
- XVE0014 Venäjän kielen suullisen kielitaidon intensiivikurssi (3 ECTS cr.)
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Englanti, 2 ECTS
- ! MATY101 Personal study plan (1 ECTS cr.)
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! Äidinkieli, 2 ECTS
- ! HYVY001 No Name (2 ECTS cr.)
- Valinnaiset opinnot, 36 ECTS
!
= this element has been marked obligatory
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