NOTE! SEND ALL THE UPDATES OF THE STRUCTURE TO EDUCATION COORDINATOR TIINA HASARI
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Master's programme in theoretical and computational methods | 120 cr | Degree | Complete 120 cr | Correponding course in the old system (studies done before 1.8.2017) | ||
Discipline studies | ||||||
Theoretical and computational methods, advanced studies | TCM300 | 90-120 cr | Study module | Compulsory | ||
Compulsory courses | 35 cr | Compulsory | Choose all 3 courses | |||
Seminar in Theoretical and Computational Methods | TCM307 | 5 cr | Course | Compulsory | ||
Master's thesis | TCM350 | 30 cr | Course | Compulsory | ||
Maturity test | TCM399 | 0 cr | Course | Compulsory | ||
Optional courses | 0-25 cr | Optional | ||||
Course supporting scientific knowledge | TCM402(A-E) | 1-10 cr | Course | Optional | ||
Advanced Topics in Theoretical and Computational Methods | TCM410(1-99) | 1-10 cr | Course | Optional | ||
Course completed in another university | TCM403 | 1-10 cr | Course | Optional | ||
Optional course packages | 55-85 cr | Compulsory | Choose at least 55 cr. You can choose whole course packages or individual courses. | |||
Quantum Physics | Course package | Alternative | ||||
Quantum mechanics IIa | TCM302 | 5 cr | Course | Alternative | 537171 Kvanttimekaniikka IIa | |
Quantum mechanics IIb | TCM303 | 5 cr | Course | Alternative | 537172 Kvanttimekaniikka IIb | |
Quantum chemistry | KEM341 | 5 cr | Course | Alternative | ||
Mathematical Methods of Physics IIIa | TCM304 | 5 cr | Course | Alternative | 53713 Fysiikan matemaattiset menetelmät III | |
Mathematical Methods of Physics IIIb | TCM305 | 5 cr | Course | Alternative | 53713 Fysiikan matemaattiset menetelmät III | |
Quantum Information A | TCM322 | 5 cr | Course | Alternative | ||
Quantum Information B | TCM323 | 5 cr | Course | Alternative | ||
Statistical Physics | Course package | Alternative | ||||
Advanced statistical physics | TCM306 | 5 cr | Course | Alternative | 53728 Statistisen fysiikan jatkokurssi | |
Kinetic Theory | TCM309 | 10 cr | Course | Alternative | ||
Particle Physics and Cosmology | Course package | Alternative | ||||
Introduction to particle physics II | PAP325 | 5 cr | Course | Alternative | ||
Quantum field theory I | TCM311 | 10 cr | Course | Alternative | ||
Quantum field theory II | TCM312 | 10 cr | Course | Alternative | ||
Cosmology II | PAP326 | 5 cr | Course | Alternative | ||
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General relativity I | PAP348 | 5 cr | Course | Alternative | ||
General relativity II | PAP349 | 5 cr | Course | Alternative | ||
Lattice field theory | TCM308 | 5 cr | Course | Alternative | ||
Thermal field theory | TCM313 | 5 cr | Course | Alternative | ||
String theory | TCM314 | 5 cr | Course | Alternative | ||
Special courses in particle physics | 5-20 cr | Courses | Alternative | |||
Special courses in cosmology | 10-20 cr | Courses | Alternative | |||
Condensed matter physics | Course package | Alternative | ||||
Modelling of biological systems | MATR333 | 5 cr | Course | Alternative | ||
Solid state continuum mechanics II | MATR318 | 5 cr | Course | Alternative | ||
Solid state physics I | MATR3031 | 5 cr | Course | Alternative | ||
Solid state physics II | MATR3032 | 5 cr | Course | Alternative | ||
QM and hybrid QM/MM modeling of bio/chemical systems | TCM324 | 5 cr | Course | Alternative | ||
Programming and numerical methods | Course package | Alternative | ||||
Statistical Methods | PAP334 | 5 cr | Course | Alternative | ||
Numerical Methods in Scientific Computing | MATR322 | 10 cr | Course | Alternative | ||
Basics of Monte Carlo simulations | MATR323 | 5 cr | Course | Alternative | ||
Monte Carlo simulations in physics | MATR324 | 5 cr | Course | Alternative | ||
Molecular dynamics simulations | MATR325 | 10 cr | Course | Alternative | ||
Specialized courses in computational methods | 5-15 cr | Course | Alternative | |||
Tools for high performance computing | MATR326 | 5 cr | Course | Alternative | ||
Computational nanoscience | MATR327 | 10 cr | Course | Alternative | ||
Atmospheric sciences | Course package | Alternative | ||||
Simulations of Formation of Molecular Clusters | ATM311 | 5 cr | Course | Alternative | ||
Aerosol Modelling | ATM312 | 5 cr | Course | Alternative | ||
Chemical transport modelling I | ATM313 | 5 cr | Course | Alternative | ||
Chemical transport modelling II | ATM314 | 5 cr | Course | Alternative | ||
Numerical Meteorology I | ATM315 | 5 cr | Course | Alternative | ||
Numerical Meteorology II | ATM316 | 5 cr | Course | Alternative | ||
Laboratory Course in Numerical Meteorology | ATM317 | 5 cr | Course | Alternative | ||
Introduction to Earth System Modelling | ATM377 | 5 cr | Course | Alternative | ||
Functional analysis and spectral theory | Course package | Alternative | ||||
Functional analysis | MAST31002 | 10 cr | Course | Alternative | ||
Spectral theory | MAST31018 | 10 cr | Course | Alternative | ||
Partial Differential Equations I | MAST31010 | 10 cr | Course | Alternative | ||
Integral equations | MAST31403 | 10 cr | Course | Alternative | ||
Introduction to Real and Fourier Analysis | MAST30132 | 5 cr | Course | Alternative | ||
Fourier Analysis and Distributions | MAST30129 | 5 cr | Course | Alternative | ||
Applied analysis and partial differential equations | Course package | Alternative | ||||
Partial Differential Equations I | MAST31010 | 10 cr | Course | Alternative | ||
Integral equations | MAST31403 | 10 cr | Course | Alternative | ||
Partial Differential Equations II | MAST31011 | 10 cr | Course | Alternative | ||
Functional analysis | MAST31002 | 10 cr | Course | Alternative | ||
Introduction to Real and Fourier Analysis | MAST30132 | 5 cr | Course | Alternative | ||
Fourier Analysis and Distributions | MAST30129 | 5 cr | Course | Alternative | ||
Advanced Course in Real Analysis | MAST30127 | 10 cr | Course | Alternative | ||
Stochastic analysis | Course package | Alternative | ||||
Stochastic Methods A | TCM320 | 5 cr | Course | Alternative | ||
Stochastic Methods B | TCM321 | 5 cr | Course | Alternative | ||
Probability theory I | MAST31701 | 5 cr | Course | Alternative | ||
Probability theory II | MAST31702 | 5 cr | Course | Alternative | ||
Functional analysis | MAST31002 | 10 cr | Course | Alternative | ||
Introduction to Real and Fourier Analysis | MAST30132 | 5 cr | Course | Alternative | ||
Algebraic and topological methods | Course package | Alternative | ||||
Topology II | MAST31003 | 10 cr | Course | Alternative | ||
Algebra II | MAST31005 | 10 cr | Course | Alternative | ||
Riemannian geometry | MAST31026 | 10 cr | Course | Alternative | ||
Courses in Mathematical Physics | Course package | Alternative | ||||
Open Quantum Systems | TCM315 | 10 cr | Course | Alternative | ||
Introduction to mathematical physics A | MAST30130 | 5 cr | Course | Alternative | ||
Introduction to mathematical physics B | MAST30131 | 5 cr | Course | Alternative | ||
Hamiltonian dynamics | MAST31302 | 10 cr | Course | Alternative | ||
Quantum dynamics | MAST31303 | 10 cr | Course | Alternative | ||
Kinetic Theory | TCM309 | 10 cr | Course | Alternative | ||
Mathematics courses in the Applied mathematics | Course package | Alternative | ||||
Partial differential equations I | MAST31010 | 10 cr | Course | Alternative | ||
Integral equations | MAST31403 | 10 cr | Course | Alternative | ||
Bayesian inversion | MAST31402 | 10 cr | Course | Alternative | ||
Inverse problems 1: convolution and deconvolution | MAST31401 | 5 cr | Course | Alternative | ||
Mathematics of imaging | Course package | Alternative | ||||
Functional analysis | MAST31002 | 10 cr | Course | Alternative | ||
Bayesian inversion | MAST31402 | 10 cr | Course | Alternative | ||
Inverse problems 1: convolution and deconvolution | MAST31401 | 5 cr | Course | Alternative | ||
Inverse problems project work | MAST31405 | 5 cr | Course | Alternative | ||
Computer science | Course package | |||||
Design and Analysis of Algorithms | CSM12101 | 5 cr | Course | Alternative | ||
Approximation algorithms | CSM12106 | 5 cr | Course | Alternative | ||
Randomized Algorithms I | CSM12104 | 5 cr | Course | Alternative | ||
Randomized Algorithms II | CSM12105 | 5 cr | Course | Alternative | ||
Combinatorial Optimization | CSM12107 | 5 cr | Course | Alternative | ||
Algorithms in Genome Analysis | LSI31007 | 5 cr | Course | Alternative | ||
Data science | Course package | |||||
Introduction to Data Science | DATA11001 | 5 cr | Course | Alternative | ||
Introductiont to Machine Learning | DATA11002 | 5 cr | Course | Alternative | ||
Advanced Course in Machine Learning | DATA12001 | 5 cr | Course | Alternative | ||
Network Analysis | DATA16001 | 5 cr | Course | Alternative | ||
Computational Statistics I | MAST32001 | 5 cr | Course | Alternative | ||
Bayesian Data Analysis | LSI35002 | 5 cr | Course | Alternative | ||
Probabilistic Graphical Models | DATA12002 | 5 cr | Course | Alternative | ||
Bayesian Machine Learning | DATA20027 | 5 cr | Course | Alternative | ||
Chemistry | Course package | Alternative | ||||
Quantum Chemistry | KEM341 | 5 cr | Course | Alternative | ||
Mathematical and Numerical Methods in Theoretical Chemistry | KEM367 | 5 cr | Course | Alternative | ||
Density functional theory | KEM368 | 5 cr | Course | Alternative | ||
Spectroscopy | KEM343 | 5 cr | Course | Alternative | ||
Molecular Modelling | KEM342 | 5 cr | Course | Alternative | ||
Molecular Properties | KEM345 | 5 cr | Course | Alternative | ||
Laser Spectroscopy | KEM365 | 5 cr | Course | Alternative | 55448 | |
Molecular electronic structure | KEM369 | 5 cr | Course | Alternative | ||
Other studies | TCM400 | 0-30 cr | Study module | Choose 0 - 30 cr. (The rest of 120 credits) | ||
Other Studies in Theoretical and Computational Methods | 0-20 cr | Optional | Complete these courses if they (or similar contents) are not included in your Bachelor's degree. | |||
Quantum mechanics I | FYS2018 | 10 cr | Course | Optional | ||
Statistical mechanics | FYS2015 | 5 cr | Course | Optional | ||
Scientific computing I | FYS1013 | 5 cr | Course | Optional | ||
Aerosol Physics I | FYS2071 | 5 cr | Course | Optional | ||
Aerosol Physics II | ATM304 | 5 cr | Course | Optional | ||
Quantum statistics | FYS2019 | 5 cr | Course | Optional | ||
Scientific computing II | FYS2085 | 5 cr | Course | Optional | ||
Mekaniikan jatkokurssi | FYS2028 | 5 cr | Course | Optional | ||
Kvanttilaskenta | FYS2029 | 5 cr | Course | Optional | ||
Computational Chemistry | KEK222 | 5 cr | Course | Optional | ||
Working life and expertise | Optional | |||||
Career planning | 0 cr | Integrated to the seminar course | Compulsory | |||
Practical training | TCM401 | 5 cr | Course | Optional | ||
Internationalization period - Mobility window | Optional | Studies completed during the international period will be transferred to the advanced studies in theoretical and computationla methods or to other studies depending on their content. They can be transferred as a study module or individual courses. | ||||
Study module completed in a foreign university | TCMxxx | 15-20 cr | Study module | Optional | ||
Course completed in another university | TCM403 | 1-10 cr | Course | Optional | ||
(Parts integrated to other courses) | ||||||
Personal Study Plan (PSP) | 0 cr | Integrated to the seminar course | Compulsory | |||
University's own student feedback | 0 cr | Compulsory | ||||
Optional studies | Optional | |||||
Freely chosen study modules | 0-25 cr | Study module | Optional | |||
Freely chosen courses | 0-30 cr | Courses | Optional | |||
Course supporting scientific knowledge | TCM402(A-E) | 1-10 cr | Course | Optional | ||
Finnish 1A | FINN-111 | 3 cr | Course | Optional | ||
Finnish 1B | FINN-112 | 3 cr | Course | Optional | ||
Study modules offered for students from other degree programmes | ||||||
Theoretical and computational methods, study module, min. 15 cr | TCM390 | min. 15 cr | Study module | Choose 15, 25 or 35 cr courses of the Master's Programme in Theoretical and Computational Methods | ||