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2018–2019
Arkistoitu opetussuunnitelma 2017–2019
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Faculty of Natural Sciences 2017–2019
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Master´s Programme in Mathematics
Master´s Programme in Mathematics
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Master´s Programme in Mathematics
Specialization in Mathematics
Advanced Studies in Mathematics 80 ECTS
Other advanced studies 20–30 ECTS20–30 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
MTTMS12 Introduction to Computational Algebraic Geometry, 10 ECTS
TIETS01 Algorithms, 5 ECTS
TIETS02 Automata I, 5 ECTS
TIETS03 Automata II, 5 ECTS
MTTS1 Other course (advanced),
DPISM204 Introduction to Commutative Algebra, 1–10 ECTS
Specialization in teacher education
Advanced Studies in Mathematics (Teacher Education) 60 ECTS
Other Advanced studies 35 ECTS
Advanced courses 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
MTTMS11 Teacher training seminar, 5 ECTS
MTTMS12 Introduction to Computational Algebraic Geometry, 10 ECTS
MTTS1 Other course (advanced),
DPISM204 Introduction to Commutative Algebra, 1–10 ECTS
Intermediate courses 0–15 ECTS0–15 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
Specialization in Mathematics of computing
Advanced Studies in Mathematics (Mathematics of Computing) 80 ECTS
Compulsory advanced studies 50–80 ECTS50–80 ECTS
MTTMS1 Algebra 2, 10 ECTS
MTTMS2 Set theory, 10 ECTS
MTTMS3 Geometry, 10 ECTS
MTTMS8 Mathematical logic, 10 ECTS
MTTMS10 Master's thesis, 25–40 ECTS
Other intermediate studies 0–30 ECTS0–30 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
MTTMS9 Topology, 10 ECTS
MTTMS12 Introduction to Computational Algebraic Geometry, 10 ECTS
TIETS01 Algorithms, 5 ECTS
TIETS02 Automata I, 5 ECTS
TIETS03 Automata II, 5 ECTS
MTTS1 Other course (advanced),
DPISM204 Introduction to Commutative Algebra, 1–10 ECTS
Faculty of Natural Sciences