Electrodynamics and Mathematics / Electrodynamics and Mathematics

Mads Clausen Institute, Sønderborg
Teaching activity id: MC-EDM-U1.
Teaching language: English.ECTS / weighting: 10 ECTS / 0.167 full-time equivalent.
Period: Autumn 2018.Approved: 18-04-17.
Offered in: Sønderborg.

Subject director:
Programme coordinator Ib Christensen, MCI.

Prerequisites:
It is recommended that the Modules MC-SMM and MC-DYM (subjects MATH1 and MATH2) are passed.


Content - Key areas:
Electrodynamics - EDY (5 ECTS):
Electric fields
Magnetic fields


MATHEMATICS FOR SIGNAL & SYSTEMS - MSS (5 ECTS):
Transforms & Vector Calculus:
Further Laplace Transforms (step and impulse functions, transfer functions)
Fourier Transform (properties, discrete Fourier)
Z-Transform (properties, Poles and zeros, inverse z-transform)
Conversion of signals (Sampling, Quantization A/D & D/A , discrete-time)
Vector Calculus (Grad/Div/Curl, line/double/surface/volume integrals, Green/Gauss/Stoke)
Numerical analysis (Quadrature, Finite difference).

Learning outcomes:
Electrodynamics EDY:
Knowledge
Basic understanding of vector fields, DC and AC currents and voltages.
Understanding of Maxwell’s equations.

Skills
Analyzing static and time-varying electric and magnetic fields.
Calculating electric/magnetic fields, flux, induced current and voltages.
Determine forces on charged particles in electric/magnetic fields.
Analyze simple AC- and DC-circuits with resistors, capacitors, and inductors.

Competencies
The ability to consider different strategies to solve basic electrodynamics problems
The ability to analyze the electrodynamics of simple engineering products

MATHEMATICS FOR SIGNAL & SYSTEMS - MSS:
Knowledge
Transforms, vector calculus, and basic numerical analysis

Skills
Taking the Laplace transforms of continuous, discontinuous, and generalized functions.
Using Fourier transforms to find the frequency response of dynamical systems, and using numerical methods to find approximations of integrals and differential equations.
Using vector calculus to relate curve integrals to surface integrals and surface integrals to volume integrals and to determine conservative vector fields.
Using Z-transform to analyze discrete-time signals and systems.
Learning the fundamentals in the field of conversion of signals (the sampling theorem, quantization of signals, A/D & D/A conversions.

Competencies
The ability to analyse dynamical systems through Laplace and Fourier transforms
The ability to relate theorems from vector calculus to physics laws including Conservation laws  
The ability to analyze discrete-time signals/systems and having the fundamental insight in the field of signal conversion.

Time of classes:
Autumn


Lessons:
EDY - 48 hours
MSS - 48 hours

Form of instruction:
Class lectures, exercise sessions and homework assignments
Assignments may be written hand-ins, oral presentations, written or digital tests, quizzes etc.

Evaluation
External examiner, individually graded according to the Danish 7-point grading scale.
Grading is based on an overall assessment of the student’s ability to fulfil the objectives of the module as assessed by means of:

Three hour written exam in EDY
Three hour written exam in MSS.

Programmes:
Bachelor of Engineering in Mechatronics
3. semester, mandatory. Offered in: Sønderborg
Bachelor of Science in Engineering (Mechatronics)
3. semester, mandatory. Offered in: Sønderborg