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53772-01 - Lecture with practical courses: Mathematics for Biomedical Engineering II 3 CP

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

Dates

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
Wednesday 03.07.2024 14.00-16.00 Biozentrum, Seminarraum 02.058
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)

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