Minors

Mathematics (Master level) (minor)

Code:

SCI3076

Extent:

20–25 ECTS

Curriculum:

2024–2026
2022–2024
2020–2022
Previous curricula

Level:

Advanced studies

Language of learning:

English

Theme:

Mathematics and research methods

Target group:

All Aalto students

Teacher in charge:

Antti Hannukainen

Administrative contact:

Susanna Ylhävuori

Organising department:

Department of Mathematics and Systems Analysis

School:

School of Science

Prerequisites:

BSc minor in Mathematics or equivalent knowledge. Please check the course prerequisites before signing up.


Quotas and restrictions:

-

Application process:

-

About the minor

You can find course descriptions in Sisu. In your study plan, choose the course and click the course code or search courses by code or name. Learning environments are found in MyCourses through search or after registration in "My own courses".

Content

Code Course name ECTS Period

General mathematics

MS-E1000 Crystal Flowers in Halls of Mirrors: Mathematics Meets Art and Architecture D 5–15 III–IV (2024-2025)

Algebra and discrete mathematics

MS-C1081 Abstract Algebra 5 III
MS-E1050 Graph Theory D 5 I
MS-E1052 Combinatorial Network Analysis D 5 II (2025-2026)
MS-E1082 Special course: Advanced Topics in Algebra D 5 IV (2024-2025)
MS-E1110 Number Theory D 5 II
MS-E1111 Galois Theory D 5 IV (2024-2025)
MS-E1142 Computational Algebraic Geometry D 5 V (2025-2026)
MS-E1145 Algebraic Geometry D 5 I-II (2025-2026)
MS-E1200  Lie Groups and Lie Algebras D  IV (2025-2026)
MS-E1688 Special course: Advanced Cryptography D 5 I-II (2025-2026)

Analysis

MS-C1350 Partial Differential Equations 5 I–II
MS-E1210 Sobolev Spaces D 5-10 I-V
MS-E1215 Elliptic Partial Differential Equations D 5-10 I-V
MS-E1280 Measure and Integral D 5 II
MS-E1281 Real Analysis D 5 IV (2025-2026)
MS-E1423 Fourier Theory D 5 III
MS-E1426 Harmonic Analysis D 5 II (2024-2025)
MS-E1461 Hilbert Spaces D 5 I
MS-E1462 Banach Spaces D 5 II (2024-2025)
MS-E1531 Differential Geometry D 5 III (2025-2026)

Computational mathematics

MS-C1342 Linear Algebra 5 V
MS-E1142  Computational Algebraic Geometry D V (2025-2026)
MS-E1150 Matrix Theory D 5 II (2024-2025)
MS-E1651  Numerical Matrix Computations D I
MS-E1652 Computational Methods for Differential Equations D 5 II (2025-2026)
MS-E1653 Finite Element Method D III–IV
MS-E1654 Computational Inverse Problems D IV 

Optimization 

MS-E2121 Linear Optimization D III-IV
MS-E2122  Nonlinear Optimization D I–II 
MS-E2145 Combinatorial Optimization D 5 III-IV
MS-E2148 Dynamic Optimization D 5 III

Probability and statistics

MS-C2111 Stochastic processes 5 II
MS-E1600 Probability Theory D 5 I
MS-E1603 Random Graphs and Network Statistics D  5 V (2025-2026)
MS-E1604 Brownian motion and stochastic analysis D 5 IV (2024-2025)
MS-E1622 Algebraic Methods in Data Science D 5 III-IV (2024-2025)
MS-E1623 How to lie with statistics? D 5 II
MS-E1624 High-Dimensional Statistics D 5 IV
MS-E2112 Multivariate Statistical Analysis D 5 III–IV

Previous curricula

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