Key words
Analysis, differential equations,series, Statistics, probability, distributions, tests of hypotheses
Objectives
Acquiring further basic knowledge in mathematics, concepts and techniques for support in other engineering disciplines.
Acquiring basic knowledge about probability and distributions.
To learn to analyse and treat data from measurements, to propose and test hypotheses
Topics
Mathematics:
in the part on general differential equations, methods to solve them are discussed.
The second part on series deals with convergence-divergence of series, Taylor- and Fourier expansions of functions.
Higher order linear differential equations are discussed and the Laplace transform is introduced to solve them.
Systems of linear first order differential equations are treated by matrix algebra.
Statistics
the course starts with basic notions and concepts in probability and descriptive statistics.
The most common discrete and continuous distributions are introduced together with some related limit theorems.
Finally estimation of parameters and confidence intervals together with elementary hypothesis testing are treated
Prerequisites
Some basic knowledge of mathematics, acquired in Mathematics I and II.
Final Objectives
The student should be able to analyse problems and search for solutions for these problems in disciplines which are highly relying on mathematics and/or statistics.
Moreover, by this educationthe student should be able in setting more general problems in a clear and comprehensive way.
Materials used
Class notes.
Some standard books on probability, applied statistics and mathematics are available.
The student has software at his disposal.
Study costs
8.0 EUR
Study guidance
Possibility to consult the teacher after the lecture or by appointment.
Extra exercises are available (with solutions) in an electronic environment (DOKEOS).
Teaching Methods
Lectures and exercises in class coached by the teacher.
Assessment
Weighted scoring system:
theory mathematics 2/5, statistics 2/5, written examination and a pair of tests (exercises 1/10 for both mathematics and statistics).
However, if a student gains a score of 7 or less on 20 on one of the different courses (parts of training items), he proves that his skill for certain subcompetencies is insufficient. Consequently, one can turn from the arithmetical calculation of the final assignment of quotas of a training item and the new marks can be awarded on consensus. Of course the examiners can judge that the arithmetic regulations mentioned in the study index card can also be used for 7 or less.
For each deviation a detailed motivation ought to be drawn up. In that case one should point out that the skill for this subcompetency is proven to be insufficient, if the student didn’t pass the partim that is considered to be important for certain subcompetencies.
Lecturer(s)
Lecturers in mathematics and statistics.
|
|
