Opinto-oppaat
2017–2018
Arkistoitu opetussuunnitelma 2015–2017
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
▪
Opinto-oppaat
»
Informaatiotieteiden yksikkö 2015–2017
»
Optional studies in Mathematics and Statistics for other degree programmes
MTTVAL
Optional studies in Mathematics and Statistics for other degree programmes,
25–60
op
expand all
Optional studies in Mathematics and Statistics for other degree programmes
Basic Studies in Mathematics 25 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS
MTTMP1A Introduction to Analysis, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTMP4 Algebra 1A, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Intermediate studies in Mathematics 35 ECTS
Compulsory intermediate studies 25 ECTSMTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
Other intermediate studies 10 ECTS10 ECTS
MTTMA1C Analysis C, 5 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
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
Advanced studies in Mathematics 60 ECTS
Other Advanced Studies 35 ECTS
Other advanced studies 20–35 ECTS20–35 ECTS
MTTMS1 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
TIETS01 Algorithms, 5 ECTS
TIETS02 Automata I, 5 ECTS
TIETS03 Automata II, 5 ECTS
MTTS1 Other course (advanced),
MTTMS12 Introduction to Computational Algebraic Geometry, 10 ECTS
Other intermediate studies 0–15 ECTSMTTMA1C Analysis C, 5 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
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
Mathematics for teachers 60 ECTS
Basic Studies in Mathematics 25 ECTSMTTMY1 Basic concepts of Mathematics, 5 ECTS
MTTMP1A Introduction to Analysis, 5 ECTS
MTTMP3 Linear algebra 1A, 5 ECTS
MTTMP4 Algebra 1A, 5 ECTS
MTTTP4 Elementary probability, 5 ECTS
Intermediate studies in Mathematics 35 ECTS
Compulsory intermediate studies 25 ECTSMTTMP2 Introduction to mathematical reasoning, 5 ECTS
MTTMA2 Linear algebra 1B, 5 ECTS
MTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
Other intermediate studies 10 ECTS10 ECTS
MTTMA1C Analysis C, 5 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
MTTMA15 Mathematical Softwares, 5 ECTS
MTTMA16 Number Theory, 5 ECTS
Basic studies in Statistics 25 ECTSMTTTP1 Introduction to statistics, 5 ECTS
MTTTP5 Basics of Statistical Inference, 5 ECTS
MTTTA1 Basics of statistical methods, 5 ECTS
MTTTA13 Empirical project, 5 ECTS
Intermediate studies in Statistics 35 ECTS
Compulsory intermediate studies 20 ECTS20 ECTS
MTTTP4 Elementary probability, 5 ECTS
MTTTA2 Elementary mathematical Statistics, 5 ECTS
MTTTA4 Statistical inference 1, 5 ECTS
MTTTA14 Matrices for Statistics and Computational Methods, 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
MTTTA9 Statistical prediction, 5 ECTS
MTTTA10 Mixed models, 5 ECTS
MTTTA11 Statistical softwares, 5 ECTS
Basic and Intermediate Studies in Didactic Mathematics 60 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 35 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
MTTMA1A Analysis A, 5 ECTS
MTTMA1B Analysis B, 5 ECTS
MTTMA3B Algebra 1B, 5 ECTS
Informaatiotieteiden yksikkö