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53772-01 - Lecture with practical courses: Mathematics for Biomedical Engineering II (4 CP)
| Semester | spring semester 2022 |
| 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 23.02.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 01.03.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 02.03.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 08.03.2022 | 12.15-13.00 | Fasnachtsferien |
| Wednesday 09.03.2022 | 15.30-17.15 | Fasnachtsferien |
| Tuesday 15.03.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 16.03.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 22.03.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 23.03.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 29.03.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 30.03.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 05.04.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 06.04.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 12.04.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 13.04.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 19.04.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 20.04.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 26.04.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 27.04.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 03.05.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 04.05.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 10.05.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 11.05.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 17.05.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 18.05.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 24.05.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 25.05.2022 | 15.30-17.15 | Anatomie, Seminarraum |
| Tuesday 31.05.2022 | 12.15-13.00 | Biozentrum, Seminarraum U1.193 |
| Wednesday 01.06.2022 | 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. |
| 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) |