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2015–2016
Arkistoitu opetussuunnitelma 2015–2017
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School of Information Sciences 2015–2017
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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 ECTSSISYY003 Orientation Course, 2 ECTS
TIEY4 Introduction to Computing, 3 ECTS
MTTY1 Guided planning of studies, 2 ECTS
MTTY3 Introduction to Mathematics and Statistics, 3 ECTS
MTTMY1 Basic concepts of Mathematics, 5 ECTS
TIEP1 High Level Programming I, 5 ECTS
School of Information Sciences 15 ECTS
Foreign Language Courses 4 ECTSOne element from below
KKENLUK Introduction to Academic English, 4 ECTS
KKENYHT Introduction to Academic English, 4 ECTS
KKSAVAL1 German Oral and Written Skills, 4 ECTS
KKSAVAL0 Topical Texts in German, 4 ECTS
KKES5 Spanish Oral and Written Communication, 4 ECTS
KKVE5 Reading and Talking in Russian, 4 ECTS
KKRA5 France yesterday, today and tomorrow, 4 ECTS
KKRAVAL2 Advanced Course in French, 4 ECTS
KKRULUK Swedish Written and Oral Communication, 4 ECTS
Speech Communication 2 ECTSOne element from below
KKSUPRO Introduction to Interpersonal Communication Skills, 2 ECTS
KKSUOPE Introduction to Interpersonal Communication Skills / Education, 2 ECTS
KKSULUK Academic Writing in Finnish, 3 ECTS
Optional Courses 2–4 ECTSOne element from below
Optional English Courses 0–1 elements from below
KKENVAL1 Academic Presentations, 2 ECTS
KKENVAL2 Intercultural Communication, 2 ECTS
KKENVAL3 Debating for Academic Purposes, 2 ECTS
KKENVAL4 Dialogue: Constructive Talk at Work, 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
KKENVA13 Intercultural Collaboration, 2 ECTS
KKENVA14 InterActing in English, 2 ECTS
KKENKTMO Legal English, 2 ECTS
Optional Spanish Courses 0–1 elements from below
KKES5 Spanish Oral and Written Communication, 4 ECTS
KKESVAL3 Introduction to Latin America Culture, 2 ECTS
KKESVAL4 Introduction to Spanish Culture, 2 ECTS
Optional French Courses 0–1 elements from below
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 0–1 elements from below
KKRUVAL1 Nordic Perspectives, 2 ECTS
KKRUVAL2 Academid Discussions in Swedish, 2 ECTS
KKRUKTMO Advanced Swedish for Students of Law, 2 ECTS
Optional German Courses 0–1 elements from below
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 0–1 elements from below
KKSUVAL1 Writing Clinic, 2 ECTS
KKSUVAL3 Making Teamwork Work – Advanced Speech Communication Course, 2 ECTS
Optional Russian Courses 0–1 elements from below
KKVE5 Reading and Talking in Russian, 4 ECTS
KKVEVAL1 Oral Practice in Russian, 2 ECTS
Basic Studies in Mathematics and Statistics 25 ECTSOne element from below
Mathematics and Mathematics of Computing 25 ECTSMTTMP1A Introduction to Analysis, 5 ECTS
MTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTMP4 Algebra 1A, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Mathematics, Teacher Education 25 ECTS
Studies in Analysis 5 ECTSOne element from below
MTTMP1A Introduction to Analysis, 5 ECTS
KASMAT4 Analysis for Teachers, 5 ECTS
Studies in Algebra 5 ECTSOne element from below
MTTMP4 Algebra 1A, 5 ECTS
KASMAT1 Number Theory and Algebra for Teachers, 5 ECTS
MTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Statistics 25 ECTSMTTMP1A Introduction to Analysis, 5 ECTS
MTTTP1 Introduction to statistics, 5 ECTS
MTTTP5 Basics of Statistical Inference, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Intermediate studies in Mathematics and Statistics 45–60 ECTSOne element from below
Intermediate Studies in Mathematics 55 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA1C Analysis C, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS
Other intermediate studies 20 ECTS20 ECTS
MTTMA4 Calculus of several variables, 5 ECTS
MTTMA5 Calculus of several variables, 5 ECTS
MTTMA6 Differential equations, 5 ECTS
MTTMA7 Difference equations, 5 ECTS
MTTMA8 Introduction to graph theory, 5 ECTS
MTTMA9 Introduction to modal logic, 5 ECTS
MTTMA10 Introduction to logic 1, 5 ECTS
MTTMA11 Introduction to logic 2, 5 ECTS
MTTMA12 Number systems, 5 ECTS
MTTMA13 Geometry of computer graphics, 5 ECTS
MTTMA14 Practical training in mathematics, 2–10 ECTS
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Intermediate Studies in Mathematics (Teacher Education) 45 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA1C Analysis C, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS
Other intermediate studies 10 ECTS10 ECTS
MTTMA4 Calculus of several variables, 5 ECTS
MTTMA5 Calculus of several variables, 5 ECTS
MTTMA6 Differential equations, 5 ECTS
MTTMA7 Difference equations, 5 ECTS
MTTMA8 Introduction to graph theory, 5 ECTS
MTTMA9 Introduction to modal logic, 5 ECTS
MTTMA10 Introduction to logic 1, 5 ECTS
MTTMA11 Introduction to logic 2, 5 ECTS
MTTMA12 Number systems, 5 ECTS
MTTMA13 Geometry of computer graphics, 5 ECTS
MTTMA14 Practical training in mathematics, 2–10 ECTS
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Intermediate Studies in Mathematics (Mathematics of Computing) 55 ECTS
Compulsory intermediate studies 35 ECTSMTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA1C Analysis C, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS
Other intermediate studies 10–20 ECTS10–20 ECTS
MTTMA6 Differential equations, 5 ECTS
MTTMA8 Introduction to graph theory, 5 ECTS
MTTMA10 Introduction to logic 1, 5 ECTS
MTTMA11 Introduction to logic 2, 5 ECTS
MTTMA13 Geometry of computer graphics, 5 ECTS
Other intermediate studies 2 0–10 ECTS0–10 ECTS
MTTMA4 Calculus of several variables, 5 ECTS
MTTMA5 Calculus of several variables, 5 ECTS
MTTMA7 Difference equations, 5 ECTS
MTTMA9 Introduction to modal logic, 5 ECTS
MTTMA12 Number systems, 5 ECTS
MTTMA14 Practical training in mathematics, 2–10 ECTS
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Intermediate Studies in Statistics 60 ECTS
Compulsory intermediate studies 35 ECTSMTTMA2 Linear algebra 1B, 5 ECTS
MTTTA1 Basics of statistical methods, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
MTTTA4 Statistical inference 1, 5 ECTS
MTTTA14 Matrices for Statistics and Computational Methods, 5 ECTS
MTTA1 Bachelor's seminar and bachelor's thesis, 10 ECTS
Other intermediate studies 25 ECTS25 ECTS
MTTTA5 Multivariate analysis, 5 ECTS
MTTTA6 Regression analysis, 5 ECTS
MTTTA7 Generalized linear models 1, 5 ECTS
MTTTA9 Statistical prediction, 5 ECTS
MTTTA10 Mixed models, 5 ECTS
MTTTA11 Statistical softwares, 5 ECTS
MTTTA12 Practical training in statistics, 2–10 ECTS
MTTTA13 Empirical project, 5 ECTS
Optional studies 60–75 ECTSOne element from below
Optional Studies 60 ECTSTIEP5 High Level Programming II, 5 ECTS
TIEA2.1 Introduction to Object-Oriented Programming, 5–10 ECTS
TIETA6 Data Structures, 10 ECTS
School of Information Sciences