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.