Opinto-oppaat
2014–2015
Arkistoitu opetussuunnitelma 2012–2015
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School of Information Sciences 2012–2015
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Bachelor's Degree Programme in Mathematics and Statistics
Bachelor's Degree Programme in Mathematics and Statistics
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Bachelor's Degree Programme in Mathematics and Statistics
General studies 35 ECTS
School of Information Sciences, Study and Language Skills 25 ECTS
School of Information Sciences, Study Skills 10 ECTSSISYY003 Orientation Course, 2 ECTS (1.aut)
TIEY4 Introduction to Computing, 3 ECTS (1.aut / 1.spr)
Guided Planning of Studies 2 ECTSITIY1 Guided Planning of Studies, 2 ECTS
MTTY1 Guided planning of studies, 2 ECTS
TIEY1 Guided Planning of Studies, 2 ECTS
Programme Specific Study Unit 3 ECTSITIY2 Introduction to Information Society, 3 ECTS
MTTY2 Mathematical and statistical software, 3 ECTS (1.aut)
TIEY2 Introduction to Computer Sciences, 3 ECTS
School of Information Sciences KKENLUK Introduction to Academic English, 4 ECTS
KKRULUK Swedish Written and Oral Communication, 4 ECTS
KKSULUK Academic Writing in Finnish, 3 ECTS
KKSULUK2 Basics of Speech Communication, 2 ECTS
Optional Courses
Optional English Courses KKENVAL1 Advanced Academic Presentations, 2 ECTS
KKENVAL2 Intercultural Communication, 2 ECTS
KKENVAL3 Debating for Academic Purposes, 2 ECTS
KKENVAL4 Talk at Work: Dialogue, 2 ECTS
KKENVAL5 Professional English: Projects and Meetings, 2 ECTS
KKENVAL6 Academic/Professional English: Independent Learning Module, 2 ECTS
KKENVAL7 Creative Writing in English, 2 ECTS
KKENVAL8 Writing for Research, 2 ECTS
KKENVAL9 Professional Writing, 2 ECTS
KKENVA10 Seminar Skills, 2 ECTS
KKENVA11 Academic Discourse in Theory and Practice, 2 ECTS
KKENVA12 Facilitating, Engaging and Co-creating, 2 ECTS
KKENKTMO Legal English, 2 ECTS
Optional Spanish Courses KKES5 Spanish Oral and Written Communication, 4 ECTS
KKESVAL2 Advanced Course in Spanish, 2 ECTS
KKESVAL1 Spanish Grammar for Advanced Students, 2 ECTS
KKESVAL4 Introduction to Spanish Culture, 2 ECTS
KKESVAL3 Introduction to Latin America Culture, 2 ECTS
Optional French Courses KKRA5 France yesterday, today and tomorrow, 4 ECTS
KKRAVAL1 Oral Practice in French, 2 ECTS
KKRAVAL2 Advanced Course in French, 4 ECTS
Optional Swedish Courses KKRUVAL1 My Field in Nordic Countries, 2 ECTS
KKRUKTMO Advanced Swedish for Students of Law, 2 ECTS
Optional German Courses KKSAVAL0 Topical Texts in German, 4 ECTS
KKSAVAL1 German Oral and Written Skills, 4 ECTS
KKSAVAL2 Communicative Training I, 2 ECTS
KKSAVAL3 Communicative Training II, 2 ECTS
KKSAVAL4 Advanced Course in German, 2 ECTS
Optional Finnish Courses KKSUVAL1 Writing Clinic, 2 ECTS
KKSUVAL2 Thesis Writing in Finnish, 2 ECTS
KKSUVAL3 Making teamwork work – Advanced Speech Communication course, 2 ECTS
Optional Russian Courses KKVE5 Reading and Talking in Russian, 4 ECTS
KKVEVAL1 Oral Practice in Russian, 2 ECTS
Academic skills in Mathematics and Statistics 10 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS (1.aut)
MTTMY2 Introduction to analysis, 5 ECTS (1.aut)
Basic Studies in Mathematics and Statistics 25 ECTSMTTMP1 Analysis 1, 10 ECTS (1.aut)
MTTMP2 Introduction to mathematical reasoning, 5 ECTS (1.aut)
MTTMP3 Linear algebra 1A, 5 ECTS (1.spr)
MTTTP1 Introduction to statistics, 5 ECTS (1.aut)
MTTTP2 Basics of statistical inference 1, 5 ECTS (1.aut)
MTTTP3 Basics of statistical inference 2, 5 ECTS (1.spr)
MTTTP4 Elementary probability, 5 ECTS (2.aut)
Intermediate studies in Mathematics and Statistics 45–65 ECTS
Intermediate Studies in Mathematics 55 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1 Analysis 2, 10 ECTS (1.spr)
MTTMA2 Linear algebra 1B, 5 ECTS (1.spr)
MTTMA3 Algebra 1, 10 ECTS (2.aut)
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS (3.aut)
Other intermediate studies 20 ECTS20 ECTS
MTTMA4 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA5 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA6 Differential equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA7 Difference equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA8 Introduction to graph theory, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA9 Introduction to modal logic, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA10 Introduction to logic 1, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA11 Introduction to logic 2, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA12 Number systems, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA13 Geometry of computer graphics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA2 Elementary mathematical Statistics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA14 Practical training in mathematics, 2–10 ECTS (3.aut / 3.spr)
Intermediate Studies in Mathematics (Teacher Education) 45 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1 Analysis 2, 10 ECTS (1.spr)
MTTMA2 Linear algebra 1B, 5 ECTS (1.spr)
MTTMA3 Algebra 1, 10 ECTS (2.aut)
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS (3.aut)
Other intermediate studies 10 ECTS10 ECTS
MTTMA4 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA5 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA6 Differential equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA7 Difference equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA8 Introduction to graph theory, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA9 Introduction to modal logic, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA10 Introduction to logic 1, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA11 Introduction to logic 2, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA12 Number systems, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA13 Geometry of computer graphics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA2 Elementary mathematical Statistics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA14 Practical training in mathematics, 2–10 ECTS (3.aut / 3.spr)
Intermediate Studies in Mathematics (Mathematics of Computing) 55 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1 Analysis 2, 10 ECTS (1.spr)
MTTMA2 Linear algebra 1B, 5 ECTS (1.spr)
MTTMA3 Algebra 1, 10 ECTS (2.aut)
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS (3.aut)
Other intermediate studies 20 ECTSMTTMA4 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA5 Calculus of several variables, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA6 Differential equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA7 Difference equations, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA8 Introduction to graph theory, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA9 Introduction to modal logic, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA10 Introduction to logic 1, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA11 Introduction to logic 2, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA12 Number systems, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA13 Geometry of computer graphics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA2 Elementary mathematical Statistics, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTMA14 Practical training in mathematics, 2–10 ECTS (3.aut / 3.spr)
Intermediate Studies in Statistics 65 ECTS
Compulsory intermediate studies 35 ECTSMTTMA2 Linear algebra 1B, 5 ECTS (1.spr)
MTTTA1 Basics of statistical methods, 5 ECTS (1.spr)
MTTTA2 Elementary mathematical Statistics, 5 ECTS (2.aut)
MTTTA3 Matrices for Statistics, 5 ECTS (2.aut)
MTTTA4 Statistical inference 1, 5 ECTS (2.spr)
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS (3.aut / 3.spr)
Other intermediate studies 30 ECTS30 ECTS
MTTTA5 Multivariate analysis, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA6 Regression analysis, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA7 Generalized linear models 1, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA8 Statistical computing, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA9 Statistical prediction, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA10 Mixed models, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA11 Statistical softwares, 5 ECTS (2.aut / 2.spr / 3.aut / 3.spr)
MTTTA12 Practical training in statistics, 2–10 ECTS (3.aut / 3.spr)
MTTTA13 Empirical project, 5 ECTS (2.aut)
School of Information Sciences