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53772-01 - Lecture with practical courses: Mathematics for Biomedical Engineering II (4 CP)
| Semester | spring semester 2023 |
| 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 |
| Language of instruction | English |
| Use of digital media | Online, mandatory |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Tuesday | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| wöchentlich | Wednesday | 15.30-17.15 | Anatomie, Seminarraum |
Dates
| Date | Time | Room |
|---|---|---|
| Wednesday 22.02.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 28.02.2023 | 12.15-13.00 | Fasnachstferien |
| Wednesday 01.03.2023 | 15.30-17.15 | Fasnachstferien |
| Tuesday 07.03.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 08.03.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 14.03.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 15.03.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 21.03.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 22.03.2023 | 15.30-17.15 | Biozentrum, Seminarraum 01.006 |
| Tuesday 28.03.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 29.03.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 04.04.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 05.04.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 11.04.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 12.04.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 18.04.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 19.04.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 25.04.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 26.04.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 02.05.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 03.05.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 09.05.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 10.05.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 16.05.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 17.05.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 23.05.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 24.05.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 30.05.2023 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 31.05.2023 | 15.30-17.15 | Anatomie, Seminarraum |
| Modules |
Module Specialisation: Medical Nanosciences (Master's Studies: Nanosciences) Module: Biomaterials Science and Nanotechnology (Master's Studies: Biomedical Engineering) Module: Image-Guided Therapy (Master's Studies: Biomedical Engineering) |
| Assessment format | record of achievement |
| Assessment details | - 50% of homework exercises points. - Written exam. - Exam date: 12.07.2023, 14:00 - 16:00, Anatomie Seminarraum |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Medicine |
| Offered by | Departement Biomedical Engineering (DBE) |