Search result: Catalogue data in Spring Semester 2019

Health Sciences and Technology Master Information
Course Units for Additional Admission Requirements
The courses below are only for MSc students with additional admission requirements
NumberTitleTypeECTSHoursLecturers
406-0253-AALMathematics I & II Information
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
E-13 credits28RA. Cannas da Silva
AbstractMathematics I covers mathematical concepts and techniques necessary to model, solve and discuss scientific problems - notably through ordinary differential equations.
Main focus of Mathematics II: multivariable calculus and partial differential equations.
ObjectiveMathematics is of ever increasing importance to the Natural Sciences and Engineering. The key is the so-called mathematical modelling cycle, i.e. the translation of problems from outside of mathematics into mathematics, the study of the mathematical problems (often with the help of high level mathematical software packages) and the interpretation of the results in the original environment.

The goal of Mathematics I and II is to provide the mathematical foundations relevant for this paradigm. Differential equations are by far the most important tool for modelling and are therefore a main focus of both of these courses.
Content1. Linear Algebra and Complex Numbers:
systems of linear equations, Gauss-Jordan elimination, matrices, determinants, eigenvalues and eigenvectors, cartesian and polar forms for complex numbers, complex powers, complex roots, fundamental theorem of algebra.

2. Single-Variable Calculus:
review of differentiation, linearisation, Taylor polynomials, maxima and minima, fundamental theorem of calculus, antiderivative, integration methods, improper integrals.

3. Ordinary Differential Equations:
variation of parameters, separable equations, integration by substitution, systems of linear equations with constant coefficients, 1st and higher order equations, introduction to dynamical systems.

4. Multivariable Differential Calculus:
functions of several variables, partial differentiation, curves and surfaces in space, scalar and vector fields, gradient, curl and divergence.

5. Multivariable Integral Calculus:
multiple integrals, line and surface integrals, work and flow, Gauss and Stokes theorems, applications.

6. Partial Differential Equations:
separation of variables, Fourier series, heat equation, wave equation, Laplace equation, Fourier transform.
Literature- Bretscher, O.: Linear Algebra with Applications, Pearson Prentice Hall.
- Thomas, G. B.: Thomas' Calculus, Part 1, Pearson Addison-Wesley.
- Thomas, G. B.: Thomas' Calculus, Part 2, Pearson Addison-Wesley.
- Kreyszig, E.: Advanced Engineering Mathematics, John Wiley & Sons.
376-0203-AALMovement and Sport Biomechanics
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course.
E-4 credits3RN. Singh, W. R. Taylor
AbstractLearning to view the human body as a (bio-) mechanical system. Making the connections between everyday movements and sports activity with injury, discomfort, prevention and rehabilitation.
Objective"Students are able to describe the human body as a mechanical system.
They analyse and describe human movement according to the laws of mechanics."
ContentMovement- and sports biomechanics deals with the attributes of the human body and their link to mechanics. The course includes topics such as functional anatomy, biomechanics of daily activities (gait, running, etc.) and looks at movement in sport from a mechanical point of view. Furthermore, simple reflections on the loading analysis of joints in various situations are discussed. Additionally, questions covering the statics and dynamics of rigid bodies, and inverse dynamics, relevant to biomechanics are investigated.
406-0063-AALPhysics II
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
E-5 credits11RA. Refregier
AbstractIntroduction to the "way of thinking" and the methodology in Physics. The Chapters treated are Magnetism, Refraction and Diffraction of Waves, Elements of Quantum Mechanics with applications to Spectroscopy, Thermodynamics, Phase Transitions, Transport Phenomena.
ObjectiveIntroduction to the scientific methodology. The student should develop his/her capability to turn physical observations into mathematical models, and to solve the latter.
The student should acquire an overview over the basic concepts used in the theory of heat and electricity.
ContentBook:
Physics for Scientists and Engineers, Douglas C. Giancoli, Pearson Education (2009), ISBN: 978-0-13-157849-4

Chapters:
17 (without 17-5, 17-10), 18 (without 18-5, 18-6, 18-7), 19, 20 (without 20-7, 20-8, 20-9, 20-10, 20-11), 21 (without 21-12), 23, 25 (without 25-9, 25-10), 26 (without 26-4, 26-5, 26-7), 27, 28 (without 28-4, 28-5, 28-8. 28-9, 28-10), 29 (without 29-5, 29-8), 32 (without 32-8), 33 (without 33-4, 33-5, 33-9, 33-10), 34 (without 34-4, 34-6, 34-7), 35 (without 35-2, 35-3, 35-9, 35-11, 35-12, 35-13).
Literaturesee "Content"

Friedhelm Kuypers
Physik für Ingenieure und Naturwissenschaftler
Band 2 Elektrizität, Optik, Wellen
Verlag Wiley-VCH, 2003, Fr. 77.-
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