Opinto-oppaat
2018–2019
Arkistoitu opetussuunnitelma 2017–2019
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
▪
Opinto-oppaat
»
Luonnontieteiden tiedekunta 2017–2019
»
Intermediate studies in Mathematics and Statistics
Intermediate studies in Mathematics and Statistics,
45–60
op
Evaluation
Numeric 1-5.Belongs to following modules
Luonnontieteiden tiedekunta
expand all
Intermediate studies in Mathematics and Statistics
One element from below
According to the competence area and specialization in Master's Degree: Mathematics or Statistics.
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
MTTMA7 Difference 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
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
Luonnontieteiden tiedekunta