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53772-01 - Lecture with practical courses: Mathematics for Biomedical Engineering II (3 CP)
| Semester | spring semester 2025 |
| Course frequency | Every spring sem. |
| Lecturers |
Oumeymah Cherkaoui (oumeymah.cherkaoui@unibas.ch)
Edgar Delgado-Eckert (edgar.delgado-eckert@unibas.ch, Assessor) Nair Nan von Mühlenen (nair.vonmuehlenen@unibas.ch) |
| Content | Fourier Series, Fourier Transforms, and Laplace transforms and their applications to solving differential equations and image analysis. Systems of coupled linear first-order differential equations. Numerical methods for solving ordinary differential equations. Brief introduction to partial differential equations relevant in applied physics and engineering. |
| Learning objectives | - Representing functions as weighted infinite sums or integrals of suitable basic functions, such as trigonometric functions (Fourier series and Fourier transforms). - Laplace transforms: Learn how the operations of differentiation and integration can be mapped into algebraic operations, thus converting the task of solving an ordinary linear differential equation into the simpler task of solving an algebraic equation over the complex numbers. Applications to control theory (i.e. transfer functions). - Solve systems of coupled linear first-order differential equations. - Learn the algorithms behind numerical solvers of ordinary differential equations. - Get acquainted with partial differential equations relevant in applied physics and engineering. |
| Bibliography | Zill - Differential Equations with Boundary-Value Problems, International Metric Edition, 9th edition. |
| Comments | Digital media via "Cengage’s WebAssign" (https://www.webassign.net/wa-auth/login) |
| Weblink | DBE |
| Admission requirements | Ordinary differential equations and linear algebra (syllabus content of Mathematics for Biomedical Engineering I course, 52055-01 ). |
| Language of instruction | English |
| Use of digital media | Online, mandatory |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Friday | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| wöchentlich | Friday | 08.15-09.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
Dates
| Date | Time | Room |
|---|---|---|
| Friday 21.02.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 26.02.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 28.02.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 05.03.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 07.03.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 12.03.2025 | 17.15-18.00 | Fasnachstferien |
| Friday 14.03.2025 | 15.15-17.00 | Fasnachstferien |
| Wednesday 19.03.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 21.03.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.197 |
| Wednesday 26.03.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 28.03.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 02.04.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 04.04.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 09.04.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 11.04.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 16.04.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 18.04.2025 | 15.15-17.00 | Ostern |
| Wednesday 23.04.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 25.04.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 30.04.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 02.05.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 07.05.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 09.05.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 14.05.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 16.05.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 21.05.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 23.05.2025 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Wednesday 28.05.2025 | 17.15-18.00 | Hegenheimermattweg 167B, Lecture Hall 02. 097 |
| Friday 30.05.2025 | 15.15-17.00 | Auffahrt |
| Modules |
Modul: Biomedical Engineering Electives (Master's Studies: Biomedical Engineering) Module Specialisation: Medical Nanosciences (Master's Studies: Nanosciences) |
| Assessment format | record of achievement |
| Assessment details | - 50% of homework exercises points. - Written exam. - Exam date: July 2024, |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,1 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Medicine |
| Offered by | Departement Biomedical Engineering (DBE) |