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53772-01 - Vorlesung mit Übungen: Mathematics for Biomedical Engineering II (3 KP)
| Semester | Frühjahrsemester 2025 |
| Angebotsmuster | Jedes Frühjahrsem. |
| Dozierende |
Edgar Delgado-Eckert (edgar.delgado-eckert@unibas.ch, BeurteilerIn)
Georg Schulz (georg.schulz@unibas.ch) |
| Inhalt | 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. |
| Lernziele | - 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. |
| Literatur | Zill - Differential Equations with Boundary-Value Problems, International Metric Edition, 9th edition. |
| Bemerkungen | Digital media via "Cengage’s WebAssign" (https://www.webassign.net/wa-auth/login) |
| Weblink | DBE |
| Teilnahmevoraussetzungen | Ordinary differential equations and linear algebra (syllabus content of Mathematics for Biomedical Engineering I course, 52055-01 ). |
| Unterrichtssprache | Englisch |
| Einsatz digitaler Medien | Online-Angebot obligatorisch |
| Intervall | Wochentag | Zeit | Raum |
|---|---|---|---|
| wöchentlich | Freitag | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
Einzeltermine
| Datum | Zeit | Raum |
|---|---|---|
| Freitag 21.02.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 28.02.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 07.03.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 14.03.2025 | 15.15-17.00 Uhr | Fasnachstferien |
| Freitag 21.03.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.197 |
| Freitag 28.03.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 04.04.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 11.04.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 18.04.2025 | 15.15-17.00 Uhr | Ostern |
| Freitag 25.04.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 02.05.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 09.05.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 16.05.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 23.05.2025 | 15.15-17.00 Uhr | Biozentrum, Seminarraum U1.195 |
| Freitag 30.05.2025 | 15.15-17.00 Uhr | Auffahrt |
| Module |
Modul: Biomaterials Science and Nanotechnology (Masterstudium: Biomedical Engineering (Studienbeginn vor 01.08.2023)) Modul: Biomedical Engineering Electives (Masterstudium: Biomedical Engineering) Modul: Image-Guided Therapy (Masterstudium: Biomedical Engineering (Studienbeginn vor 01.08.2023)) Modul: Vertiefung Medizinische Nanowissenschaften (Masterstudium: Nanowissenschaften) |
| Prüfung | Leistungsnachweis |
| Hinweise zur Prüfung | - 50% of homework exercises points. - Written exam. - Exam date: July 2024, |
| An-/Abmeldung zur Prüfung | Anm.: Belegen Lehrveranstaltung; Abm.: stornieren |
| Wiederholungsprüfung | eine Wiederholung, bester Versuch zählt |
| Skala | 1-6 0,1 |
| Belegen bei Nichtbestehen | beliebig wiederholbar |
| Zuständige Fakultät | Medizinische Fakultät |
| Anbietende Organisationseinheit | Departement Biomedical Engineering (DBE) |