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| Semester | spring semester 2024 |
| Course frequency | Every spring sem. |
| Lecturers |
Edgar Delgado-Eckert (edgar.delgado-eckert@unibas.ch, Assessor)
Georg Schulz (georg.schulz@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 |
| Date | Time | Room |
|---|---|---|
| Friday 01.03.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 08.03.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 15.03.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 22.03.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 05.04.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 12.04.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 19.04.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 26.04.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 03.05.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 17.05.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 24.05.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Friday 31.05.2024 | 15.15-17.00 | Biozentrum, Seminarraum U1.195 |
| Modules |
Modul: Biomedical Engineering Electives (Master's Studies: Biomedical Engineering) Module Specialisation: Medical Nanosciences (Master's Studies: Nanosciences) Module: Biomaterials Science and Nanotechnology (Master's Studies: Biomedical Engineering (Start of studies before 01.08.2023)) Module: Image-Guided Therapy (Master's Studies: Biomedical Engineering (Start of studies before 01.08.2023)) |
| 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) |