SCI3029: Mathematics and Systems Sciences

This page summarizes the 2024-2026 curriculum structure for the Mathematics and Systems Sciences major in the Bachelor’s Programme in Science and Technology. Official source: Aalto University curriculum 2024-2026.

Degree Structure

Module	Credits
Basic studies	65 cr
Major	75 cr
Minor	20-25 cr
Elective studies	15-20 cr
Total	180 cr

Basic Studies 65 cr

Code: SCI3029.A

The basic studies are mostly the same TFM physics, mathematics, programming, production economics, and language studies as in Engineering Physics.

Physics 15 cr

Code	Course	cr	Timing
PHYS-A0111	Mechanics (TFM)	5	I/1
PHYS-A0130	Electromagnetism (TFM)	5	IV/1
PHYS-A0140	Structure of Matter (TFM)	5	V/1

Mathematics 25 cr

Code	Course	cr	Timing
MS-A0001 / MS-A0009	Matrix Algebra / Matrisräkning	5	II/1
MS-A0101 / MS-A0109	Differential and Integral Calculus 1 (TFM) / Differential- och integralkalkyl 1	5	I/1
MS-A0201 / MS-A0209	Differential and Integral Calculus 2 (TFM) / Differential- och integralkalkyl 2	5	III/1
MS-A0301 / MS-A0309	Differential and Integral Calculus 3 / Differential- och integralkalkyl 3	5	IV/1
MS-A0501 / MS-A0503 / MS-A0509	First course in probability and statistics	5	I/2, III/1 or III/1-III/2

Computer Science 10 cr

Code	Course	cr	Timing
CS-A1110	Programming 1	5	I-II/1
CS-A1120	Programming 2	5	IV-V/2

Industrial Engineering and Management 5 cr

Code	Course	cr	Timing
TU-A1100 / TU-A1200	Industrial Engineering and Management / Grundkurs i Produktionsekonomi	5	I-II/2

General, Language and Communication Studies 10 cr

Code	Course	cr	Timing
CS-A0100	Computer as a Tool	1	I-summer/1-3
SCI-A0001	Introduction to Studies	1	I-V/1
LC-5001 / LC-7001	Second national language, written part	1	I-II/1
LC-5002 / LC-7002	Second national language, oral part	1	I-II/1
Foreign language	Written and oral communication	3	2nd year

Choose one additional general-studies course:

Code	Course	cr	Timing
Language Centre course	Language or communication course	3-4	2nd year
TU-A1160	Elämisen taito	3	III-IV/2
CHEM-A1020	Basics of Academic Thinking	5	I-II/2
NBE-C3001	Aivoaakkoset	4	I-II/2

Major 75 cr

Code: SCI3029

Compulsory Studies 30 cr

Code	Course	cr	Timing
PHYS-C0200	Introduction to Experimental Physics	5	III-V/1
MS-A040X	Foundations of Discrete Mathematics	5	I/IV/1 or I/2
PHYS-A0120	Thermodynamics (TFM)	5	II/1
SCI-C1002	User-Centered Product Development Project	5	I-II, III-V/3
SCI3029.kand	Bachelor’s Thesis and Seminar (Mathematics and Systems Sciences)	10	I-II, III-V/2 or 3
SCI.kyps	Maturity Test	0	3

Choose Five or Six 25-30 cr

Code	Course	cr	Timing
MS-C1081	Abstract Algebra	5	III/2
MS-C1343 / MS-C1342	Linear Algebra	5	II/2 or V/1-2
MS-C1350	Partial Differential Equations	5	I-II/2
MS-C1541	Metric Spaces	5	III/1 or 2
MS-C2110	Introduction to Operations Research	5	IV/2
MS-C2111	Stochastic Processes	5	II/2

Choose Another Three or Four 15-20 cr

The selected courses should bring the major to 75 credits.

Code	Course	cr	Timing
MS-C1001	Shapes in Action	5	I/1-3
MS-C1300	Complex Analysis	5	II/2 or 3
MS-C1420	Fourier Analysis	5	I/2 or 3
MS-C1530	Curves and Surfaces	5	I/2 or 3
MS-C1620	Statistical Inference	5	III-IV/2 or 3
MS-C1650	Numerical Analysis	5	V/1-3
MS-C2105	Introduction to Optimization	5	IV/2 or 3
MS-C2128	Prediction and Time Series Analysis	5	I-II/2 or 3
MS-C2107	Computer Exercises in Applied Mathematics	5	I-II or III-IV/1-2
MS-C2133	Operations Research Laboratory Works I	5	III-V/2 or 3
MS-E1461	Hilbert Spaces	5	I/3
MS-E1280	Measure and Integral	5	II/3
CS-C2161	Theory of Computation	5	III-IV/2 or 3
CS-E4343	Cryptography	5	I-II/2 or 3

Orientation Notes

• Applied mathematics: linear algebra, partial differential equations, metric spaces, numerical analysis, optimization, and stochastic processes are especially central.
• Mathematics: algebra, complex analysis, linear algebra, partial differential equations, metric spaces, and stochastic processes are especially central.
• Systems and operations research: operations research, stochastic processes, time series analysis, operations research laboratory work, and statistical inference are especially central.

Minor 20-25 cr

TFM students complete a 20-25 cr minor. The minor and elective studies together make up 40 cr. The minor is usually chosen quite freely from Aalto or another university, but it cannot be a minor derived from the student’s own major.

Elective Studies 15-20 cr

Electives may include university-level courses, a second minor, exchange studies, or 1-10 cr of practical training. They must not overlap with other courses in the degree.