Opinto-oppaat
2012–2013
Arkistoitu opetussuunnitelma 2012–2015
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Informaatiotieteiden yksikkö 2012–2015
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Optional studies in Mathematics and Statistics for other other degree programmes
Optional studies in Mathematics and Statistics for other other degree programmes,
25–65
op
Evaluation
Numeric 1-5.
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Optional studies in Mathematics and Statistics for other other degree programmes
Basic Studies in Mathematics 25 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS
MTTMY2 Introduction to analysis, 5 ECTS
MTTMP1 Analysis 1, 10 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
Intermediate studies in Mathematics 35 ECTS
Compulsory intermediate studies 20 ECTSMTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA3 Algebra 1, 10 ECTS
Other intermediate studies 15 ECTSMTTMA1 Analysis 2, 10 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
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Advanced studies in Mathematics 60 ECTS
Other advanced studies 35 ECTSMTTMS1 Algebra 2, 10 ECTS
MTTMS2 Set theory, 10 ECTS
MTTMS3 Geometry, 10 ECTS
MTTMS4 Introduction to algebraic geometry, 10 ECTS
MTTMS5 Complex analysis, 10 ECTS
MTTMS6 Algebraic methods of cryptography, 10 ECTS
MTTMS7 Linear algebra 2, 10 ECTS
MTTMS8 Mathematical logic, 10 ECTS
MTTMS9 Topology, 10 ECTS
MTTTS9 Risk theory, 10 ECTS
TIETS01 Algorithms, 10 ECTS
TIETS02 Automata I, 5 ECTS
TIETS03 Automata II, 5 ECTS
Mathematics for teachers 60 ECTS
Basic Studies in Mathematics 25 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS
MTTMY2 Introduction to analysis, 5 ECTS
MTTMP1 Analysis 1, 10 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
Intermediate studies in Mathematics 35 ECTS
Compulsory intermediate studies 20 ECTSMTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA3 Algebra 1, 10 ECTS
Other intermediate studies 15 ECTSMTTMA1 Analysis 2, 10 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
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Basic studies in Statistics 25 ECTSMTTTP1 Introduction to statistics, 5 ECTS
MTTTP2 Basics of statistical inference 1, 5 ECTS
MTTTP3 Basics of statistical inference 2, 5 ECTS
MTTTA1 Basics of statistical methods, 5 ECTS
MTTTA13 Empirical project, 5 ECTS
Intermediate studies in Statistics 35 ECTS
Compulsory intermediate studies 20 ECTSMTTTP4 Elementary probability, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
MTTTA3 Matrices for Statistics, 5 ECTS
MTTTA4 Statistical inference 1, 5 ECTS
Other intermediate studies 15 ECTS15 ECTS
MTTTA5 Multivariate analysis, 5 ECTS
MTTTA6 Regression analysis, 5 ECTS
MTTTA7 Generalized linear models 1, 5 ECTS
MTTTA8 Statistical computing, 5 ECTS
MTTTA9 Statistical prediction, 5 ECTS
MTTTA10 Mixed models, 5 ECTS
MTTTA11 Statistical softwares, 5 ECTS
Basic and Intermediate Studies in Didactic Mathematics 65 ECTS
Basic Studies in Didactic Mathematics 25 ECTSKASMAT1 Number Theory and Algebra for Teachers, 5 ECTS
KASMAT2 Geometry, 5 ECTS
KASMAT3 Mathematical and Pedagogical Problemsolving, 5 ECTS
KASMAT4 Analysis for Teachers, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Intermediate studies in Didactic Mathematics 40 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS
MTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMP1 Analysis 1, 10 ECTS
MTTMA1 Analysis 2, 10 ECTS
Informaatiotieteiden yksikkö