MATP170 Approbatur 3, 5 ECTS, kevät2015 [home page]
Department of Mathematics and Statistics
Announcement:
The language used was temporarily changed. Personal information page allows you to save your language settings.You cannot register for the course because the course has expired.
The registration deadline for this course passed 13.5.15 at 23:59.
General information
| Home page: | https://koppa.jyu.fi/en/courses/167906 |
|---|---|
| Begins - ends: | 17.3.15 - 13.5.15 |
| Registration period: | 8.7.14 at 0:00
- 13.5.15 at 23:59
The registration may be cancelled before 31.12.2014 at 00:00. |
| Instructor(s): | University lecturer Tuomo Äkkinen (tuomo.s.akkinen@jyu.fi) |
| Adjunct instructor(s): | Anna Kausamo (anmakaus@jyu.fi) Juha Syrjälä |
| Credits: | 5 ECTS cr. |
| Languages: | language(s) of instruction: suomi; completion language(s): English, suomi |
| Registered: | 115 |
| Max participants: | 120 |
| Still room for: | 5 |
| Organisations: | Department of Mathematics and Statistics (MATHS), Mathematics (MAT) |
| Contents: | A course of basic studies in mathematics. Scale: 5 credit points. Content: Discrete and finite mathematics: logics, number theory, module calculations, permutations, models of symmetry, finite probability theory. |
| Learning outcomes: | Studing mathematical deductions, divisibility and modular calculations in the number theory, permutations, symmetry modelling, and finite probability theory. |
| Prerequisites: | School mathematics. |
| Registration: | [Not translated.] Korpissa. |
| Selection procedure: | [Not translated.] Kaikki mukaan. |
| Modes of study: | Lectures, quided exercises, exercises, written homeworks and a tentative exam. |
| Completion mode: | Active participation to exercises, written homeworks and a tentative exam. Alternatively just a final examination. |
| Schedule: | Lectures from 17.3.2012 |
| Literature: | Saarimäki: Diskreettiä ja äärellistä matematiikkaa. Jyväskylän avoin yliopisto, oppimateriaaleja n:o 5. (in Finnish); Grimaldi: Discrete and combinatorial mathematics; Armstrong: Groups and symmetry; Liu: Elements on discrete mathematics. |
| Key words: | Mathematics, basic studies, discret mathematics, approbatur |
[Limit information on study groups]
Lecture [group details and registration]
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 202 | 12 | Tu | 17.3.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 2 | MaD 202 | 13 | Tu | 24.3.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 3 | MaD 202 | 15 | Tu | 7.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 4 | MaD 202 | 16 | Tu | 14.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 5 | MaD 202 | 17 | Tu | 21.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 6 | MaD 202 | 18 | Tu | 28.4.2015 | 16:15-19:00 | Äkkinen | Tapahtuman tiedot | ||
| 7 | MaD 202 | 19 | Tu | 5.5.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 8 | MaD 202 | 20 | Tu | 12.5.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot |
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 202 | 12 | Th | 19.3.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 2 | MaD 202 | 13 | Th | 26.3.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 3 | MaD 202 | 15 | Th | 9.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 4 | MaD 202 | 16 | Th | 16.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 5 | MaD 202 | 17 | Th | 23.4.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot | ||
| 6 | MaD 202 | 19 | Th | 7.5.2015 | 16:15-18:00 | Äkkinen | Tapahtuman tiedot |
Laskuryhmä [group details and registration]
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 259 | 13 | Tu | 24.3.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 2 | MaD 259 | 15 | Tu | 7.4.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 3 | MaD 259 | 16 | Tu | 14.4.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 4 | MaD 259 | 17 | Tu | 21.4.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 5 | MaD 259 | 18 | Tu | 28.4.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 6 | MaD 259 | 19 | Tu | 5.5.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 7 | MaD 259 | 20 | Tu | 12.5.2015 | 18:00-20:00 | Syrjälä | Tapahtuman tiedot |
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 380 | 13 | Wed | 25.3.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 2 | MaD 380 | 15 | Wed | 8.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 3 | MaD 380 | 16 | Wed | 15.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 4 | MaD 380 | 17 | Wed | 22.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 5 | MaD 380 | 19 | Wed | 6.5.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 6 | MaD 380 | 20 | Wed | 13.5.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot |
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 245 | 13 | Wed | 25.3.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 2 | MaD 245 | 15 | Wed | 8.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 3 | MaD 245 | 16 | Wed | 15.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 4 | MaD 245 | 17 | Wed | 22.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 5 | MaD 245 | 19 | Wed | 6.5.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 6 | MaD 245 | 20 | Wed | 13.5.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot |
Exercise [group details and registration]
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 259 | 13 | Th | 26.3.2015 | 18:15-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 2 | MaD 259 | 15 | Th | 9.4.2015 | 18:15-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 3 | MaD 259 | 16 | Th | 16.4.2015 | 18:15-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 4 | MaD 259 | 17 | Th | 23.4.2015 | 18:15-20:00 | Syrjälä | Tapahtuman tiedot | ||
| 5 | MaD 259 | 19 | Th | 7.5.2015 | 18:15-20:00 | Syrjälä | Tapahtuman tiedot |
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 381 | 13 | Fr | 27.3.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 2 | MaD 381 | 15 | Fr | 10.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 3 | MaD 381 | 16 | Fr | 17.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 4 | MaD 381 | 17 | Fr | 24.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 5 | MaD 380 | 18 | Wed | 29.4.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 6 | MaD 381 | 19 | Fr | 8.5.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot | ||
| 7 | MaD 381 | 20 | Fr | 15.5.2015 | 10:15-12:00 | Kausamo | Tapahtuman tiedot |
| Location | Week | Day | Date | At | Supervisor | Further information | URI | Tapahtuman tiedot | |
|---|---|---|---|---|---|---|---|---|---|
| 1 | MaD 245 | 13 | Fr | 27.3.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 2 | MaD 245 | 15 | Fr | 10.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 3 | MaD 245 | 16 | Fr | 17.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 4 | MaD 245 | 17 | Fr | 24.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 5 | MaD 245 | 18 | Wed | 29.4.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 6 | MaD 245 | 19 | Fr | 8.5.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot | ||
| 7 | MaD 245 | 20 | Fr | 15.5.2015 | 12:15-14:00 | Äkkinen | Tapahtuman tiedot |