Luonnontieteiden kandidaatin tutkinto (matematiikka / matematiikan aineenopettajakoulutus)
Announcement:
The language used was temporarily changed. Personal information page allows you to save your language settings.Organisation: | Department of Mathematics and Statistics |
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Year: | 2013-2014 |
Location: | Aktiiviset |
Further information: | |
Contents: | |
[F]Tavoitteet: | |
Minimum amount of ECTS credits: |
180 |
[F]Tutkinnon taso: | Bachelor |
Degree name: |
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[End]
Degree structure elements
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Matematiikka pääaineena, 90 ECTS
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! Pakolliset matematiikan opinnot, 82 ECTS
- ! MATP101 Introduction to Mathematics (5 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.)
- ! MATA118 Foundations of a Real Variable Analysis (5 ECTS cr.)
- ! MATA146 Computer-aided Mathematics (2 ECTS cr.)
- ! MATA280 Foundations of Stochastics (5 ECTS cr.)
- ! Kypsyysnäyte, 0 ECTS
- ! Valinnaisia matematiikan opintoja, 8 ECTS
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! Pakolliset matematiikan opinnot, 82 ECTS
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Matematiikan aineenopettajakoulutus, 85 ECTS
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! Pakolliset matematiikan opinnot, 83 ECTS
- ! MATP101 Introduction to Mathematics (5 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, 2 ECTS
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! Pakolliset matematiikan opinnot, 83 ECTS
- ! Sivuaineiden opinnot, 50 ECTS
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! Kieli- ja viestintäopinnot sekä henkilökohtainen opintosuunnitelma, 7 ECTS
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! Äidinkieli, 2 ECTS
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Kirjoitusviestintä, 0 ECTS
- XKV0012 Remedial course in Finnish grammar and writing (3 - 4 ECTS cr.)
- XKV0024 Lectures in practical use of Finnish (3 ECTS cr.)
- XKVM001 Basics of Research Reporting (2 ECTS cr.)
- XKVX001 Writing Course (2 - 3 ECTS cr.)
- XKVX006 Basics of Academic Writing (2 - 3 ECTS cr.)
- XKV0801 Written Communication/Exam (2 - 3 ECTS cr.)
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Puheviestintä, 0 ECTS
- XPV0011 Negotiation Skills (4 ECTS cr.)
- XPV0012 Speech Communication/The Use of Voice (3 ECTS cr.)
- XPV0015 Presentation skills (3 ECTS cr.)
- XPV0018 Basics of Speech Communication (2 ECTS cr.)
- XPV0021 Työelämäviestintää monikulttuurisessa ryhmässä (3 ECTS cr.)
- XPV0024 Presentations skills development (3 ECTS cr.)
- XPV0301 Basics in speech communication (2 ECTS cr.)
- XPVX006 Counselling Communication (3 ECTS cr.)
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Kirjoitusviestintä, 0 ECTS
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! Toinen kotimainen kieli, 2 ECTS
- XRU0302 Command of Swedish as the Second Language/written skills (1 ECTS cr.)
- XRU0303 Command of Swedish as the Second Language/oral skills (1 ECTS cr.)
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! Vieras kieli, 2 ECTS
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Englanti, 0 ECTS
- XENM001 Academic Reading (2 ECTS cr.)
- XENM003 Communication Skills (2 ECTS cr.)
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Espanja, 0 ECTS
- XES0010 Espanjan tekstikurssi (2 - 3 ECTS cr.)
- XES0017 Espanjan keskusteluharjoitukset (3 ECTS cr.)
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Ranska, 0 ECTS
- XRA0019 Ranskan kielen suullinen taito (3 ECTS cr.)
- XRA0021 Text and Culture (3 ECTS cr.)
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Saksa, 0 ECTS
- XSA0103 Oral Skills in German (2 - 3 ECTS cr.)
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Venäjä, 0 ECTS
- XVE0010 Venäjän tekstikurssi 1 (3 ECTS cr.)
- XVE0014 Venäjän kielen suullisen kielitaidon intensiivikurssi (3 ECTS cr.)
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Englanti, 0 ECTS
- ! Henkilökohtainen opintosuunnitelma (HOPS), 1 ECTS
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! Äidinkieli, 2 ECTS
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! Akateeminen opiskelukyky - muutakin kuin pisteitä, 2 ECTS
- HYVY001 No Name (2 ECTS cr.)
- Valinnaiset opinnot, 0 ECTS
!
= this element has been marked obligatory
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