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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 crCorreponding 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
CompulsoryChoose all 3 courses
Seminar in Theoretical and Computational Methods
TCM3075 crCourseCompulsory

Master's thesis
TCM35030 crCourseCompulsory

Maturity test
TCM3990 crCourseCompulsory








Optional courses

0-25 cr
Optional

Course supporting scientific knowledge
TCM402(A-E)1-10 crCourseOptional

Advanced Topics in Theoretical and Computational Methods
TCM410(1-99)1-10 crCourseOptional

Course completed in another university
TCM4031-10 crCourseOptional








Optional course packages

55-85 cr
Compulsory

Choose at least 55 cr. You can choose whole course packages or individual courses.


Quantum Physics



Course packageAlternative

Quantum mechanics IIa
TCM3025 crCourseAlternative
537171 Kvanttimekaniikka IIa
Quantum mechanics IIb
TCM3035 crCourseAlternative
537172 Kvanttimekaniikka IIb
Quantum chemistry
KEM3415 crCourseAlternative

Mathematical Methods of Physics IIIa
TCM3045 crCourseAlternative
53713 Fysiikan matemaattiset menetelmät III
Mathematical Methods of Physics IIIb
TCM3055 crCourseAlternative
53713 Fysiikan matemaattiset menetelmät III
Quantum Information A
TCM3225 crCourseAlternative

Quantum Information B
TCM3235 crCourseAlternative

Statistical Physics



Course packageAlternative

Advanced statistical physics
TCM3065 crCourseAlternative
53728 Statistisen fysiikan jatkokurssi
Kinetic Theory
TCM30910 crCourseAlternative

Particle Physics and Cosmology



Course packageAlternative

Introduction to particle physics II
PAP3255 crCourseAlternative

Quantum field theory I
TCM31110 crCourseAlternative

Quantum field theory II
TCM31210 crCourseAlternative

Cosmology II
PAP3265 crCourseAlternative

General relativity
PAP33510 crCourseAlternative

General relativity I
PAP3485 crCourseAlternative

General relativity II
PAP3495 crCourseAlternative

Lattice field theory
TCM3085 cr
CourseAlternative

Thermal field theory
TCM3135 cr
CourseAlternative

String theory
TCM3145 cr
CourseAlternative

Special courses in particle physics
 5-20 crCoursesAlternative

Special courses in cosmology
 10-20 crCoursesAlternative

Condensed matter physics



Course packageAlternative

Modelling of biological systems
MATR3335 crCourseAlternative

Solid state continuum mechanics II
MATR3185 crCourseAlternative

Solid state physics I
MATR30315 crCourseAlternative

Solid state physics II
MATR30325 crCourse Alternative

QM and hybrid QM/MM modeling of bio/chemical systems
TCM3245 crCourseAlternative

Programming and numerical methods


 Course packageAlternative

Statistical Methods
PAP3345 cr
CourseAlternative

Numerical Methods in Scientific Computing
MATR32210 crCourseAlternative

Basics of Monte Carlo simulations
MATR3235 crCourseAlternative

Monte Carlo simulations in physics
MATR3245 crCourseAlternative

Molecular dynamics simulations
MATR32510 crCourseAlternative

Specialized courses in computational methods
 5-15 crCourseAlternative

Tools for high performance computing
MATR3265 crCourseAlternative

Computational nanoscience
MATR32710 crCourseAlternative

Atmospheric sciences


 Course packageAlternative

Simulations of Formation of Molecular Clusters
ATM3115 crCourseAlternative

Aerosol Modelling
ATM3125 crCourseAlternative

Chemical transport modelling I
ATM3135 crCourseAlternative

Chemical transport modelling II
ATM3145 crCourseAlternative

Numerical Meteorology I
ATM3155 crCourseAlternative

Numerical Meteorology II
ATM3165 crCourseAlternative

Laboratory Course in Numerical Meteorology
ATM3175 crCourseAlternative

Introduction to Earth System Modelling
ATM3775 crCourseAlternative

Functional analysis and spectral theory


 Course packageAlternative

Functional analysis
MAST3100210 crCourseAlternative

Spectral theory
MAST3101810 crCourseAlternative

Partial Differential Equations I
MAST3101010 crCourseAlternative

Integral equations
MAST3140310 crCourseAlternative

Introduction to Real and Fourier Analysis
MAST301325 crCourseAlternative

Fourier Analysis and Distributions
MAST301295 crCourseAlternative

Applied analysis and partial differential equations


 Course packageAlternative

Partial Differential Equations I
MAST3101010 crCourseAlternative

Integral equations
MAST3140310 crCourseAlternative

Partial Differential Equations II
MAST3101110 crCourseAlternative

Functional analysis
MAST3100210 crCourseAlternative

Introduction to Real and Fourier Analysis
MAST301325 crCourseAlternative

Fourier Analysis and Distributions
MAST301295 crCourseAlternative

Advanced Course in Real Analysis
MAST3012710 crCourseAlternative

Stochastic analysis


 Course packageAlternative

Stochastic Methods A
TCM3205 crCourseAlternative

Stochastic Methods B
TCM3215 crCourseAlternative

Probability theory I
MAST317015 crCourseAlternative

Probability theory II
MAST317025 crCourseAlternative

Functional analysis
MAST3100210 crCourseAlternative

Introduction to Real and Fourier Analysis
MAST301325 crCourseAlternative

Algebraic and topological methods


 Course packageAlternative

Topology II
MAST3100310 crCourseAlternative

Algebra II
MAST3100510 crCourseAlternative

Riemannian geometry
MAST3102610 crCourseAlternative

Courses in Mathematical Physics

Course packageAlternative

Open Quantum Systems
TCM31510 crCourseAlternative

Introduction to mathematical physics A
MAST301305 crCourseAlternative

Introduction to mathematical physics B
MAST301315 crCourseAlternative

Hamiltonian dynamics
MAST31302 10 crCourseAlternative

Quantum dynamics
MAST31303 10 crCourseAlternative

Kinetic Theory
TCM30910 crCourseAlternative

Mathematics courses in the Applied mathematics

Course packageAlternative

Partial differential equations I
MAST3101010 crCourseAlternative

Integral equations
MAST3140310 crCourseAlternative

Bayesian inversion
MAST3140210 crCourseAlternative

Inverse problems 1: convolution and deconvolution
MAST314015 crCourseAlternative

Mathematics of imaging

Course packageAlternative

Functional analysis
MAST3100210 crCourseAlternative

Bayesian inversion
MAST3140210 crCourseAlternative

Inverse problems 1: convolution and deconvolution
 MAST314015 crCourseAlternative

Inverse problems project work
MAST314055 crCourseAlternative

Computer science


 Course package


Design and Analysis of Algorithms
CSM121015 crCourseAlternative

Approximation algorithms
CSM121065 crCourseAlternative

Randomized Algorithms I
CSM121045 crCourseAlternative

Randomized Algorithms II
CSM121055 crCourseAlternative

Combinatorial Optimization
CSM121075 cr
CourseAlternative

Algorithms in Genome Analysis
LSI310075 cr
CourseAlternative

Data science

Course package


Introduction to Data Science
DATA110015 cr
CourseAlternative

Introductiont to Machine Learning
DATA110025 cr
CourseAlternative

Advanced Course in Machine Learning
DATA120015 cr
CourseAlternative

Network Analysis
DATA160015 cr
CourseAlternative

Computational Statistics I
MAST320015 cr
CourseAlternative

Bayesian Data Analysis
LSI350025 crCourseAlternative

Probabilistic Graphical Models
DATA120025 crCourseAlternative

Bayesian Machine Learning
DATA200275 cr CourseAlternative

Chemistry



Course packageAlternative

Quantum Chemistry
KEM3415 crCourseAlternative

Mathematical and Numerical Methods in Theoretical Chemistry
KEM3675 crCourseAlternative

Density functional theory
KEM3685 crCourseAlternative

Spectroscopy
KEM3435 crCourseAlternative

Molecular Modelling
KEM3425 crCourseAlternative

Molecular Properties
KEM3455 crCourseAlternative

Laser Spectroscopy
KEM3655 crCourseAlternative
55448
Molecular electronic structure
KEM3695 crCourseAlternative















Other studies

TCM4000-30 crStudy module
Choose  0 - 30 cr. (The rest of 120 credits)

Other Studies in Theoretical and Computational Methods


0-20 cr


OptionalComplete these courses if they (or similar contents) are not included in your Bachelor's degree.
Quantum mechanics I
FYS201810 crCourseOptional

Statistical mechanics
FYS20155 crCourseOptional

Scientific computing I
FYS10135 crCourseOptional

Aerosol Physics I
FYS20715 crCourseOptional

Aerosol Physics II
ATM3045 crCourseOptional

Quantum statistics
FYS20195 crCourseOptional

Scientific computing II 
FYS20855 crCourseOptional

Mekaniikan jatkokurssi
FYS20285 crCourseOptional

Kvanttilaskenta
FYS20295 crCourseOptional

Computational Chemistry
KEK222
5 crCourseOptional

Working life and expertise




Optional



Career planning
 0 cr
Integrated to the seminar course
Compulsory

Practical training
TCM4015 crCourseOptional

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 crStudy moduleOptional

Course completed in another university
TCM4031-10 crCourseOptional

(Parts integrated to other courses)







Personal Study Plan (PSP)

0 crIntegrated to the seminar courseCompulsory

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
CourseOptional

Finnish 1A
FINN-1113 crCourseOptional

Finnish 1B
FINN-1123 crCourseOptional








Study modules offered for students from other degree programmes







Theoretical and computational methods, study module, min. 15 cr
TCM390min. 15 crStudy module
Choose 15, 25 or 35 cr courses of the Master's Programme in Theoretical and Computational Methods







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