24.01.2017 18:50 Strona 1 z 3 Subject name Applied Mathematics

Subject name
Applied Mathematics
Subject code
A:01561
Faculty
Department of Visual Techniques
Course name
Spatial Development
Learning area
Learning profile
Study year
2
Type of subject
Obligatory
Study semester
3
Study level
undergraduate studies
ECTS
4.0
Number of ECTS
credits
Learning activity of student
ch
Participation in didactic classes included in study plan
45
Participation in consultation hours
sh
5
Self-study hours
50
Sum
Name of lecturer
50
50
Total number of study hours
100
Number of ECTS credits
4.0
dr inż. arch. Anna Wancław, doc. PG (Main teacher)
Teachers:
dr inż. arch. Anna Wancław, doc. PG
Subject objectives
Increasing knowledge and develop skills to efficiently perform calculations used in the statistics.
Increasing knowledge and develop skills for making three-dimensional space and the methods of
preparation and reading terrain visualization used in land management.
Learning outcomes
Course outcome
[K1_W01] .
Mode of delivery
Subject outcome
K1_W01 has ordered knowledge
of the application of mathematics
and statistics in shaping the
geometry of three-dimensional
space K1_U10 efficiently perform
statistical calculations and
simulations K1_U10 efficiently
perform statistical calculations
and simulations K1_U12 shaped
three-dimensional space using
advanced solutions detailed maps
them in a drawing, model and
digital publications. Workshop
techniques used allow for correct
and clear presentation of the
project
Method of veryfication
[SU4] Assessment of ability to
use methods and tools
[SU1] Assessment of task
fulfilment
at the university
Prerequisites
completion module SCIENCES,
GRAPHIC ART AND PRESENTATION
Recommended
components
Data wydruku:
Knowledge of computer applications: SketchUp , AutoCAD
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Subject contents
Elements of probability. The classical definition of probability. Independent events. Bernoulli Scheme.
Elements of mathematical statistics. Random variable type and continuous type ankle. The basic
parameters describing the random variable. Probability distributions: binomial, Poisson, normal.
standardization
normal distribution.
The use of horizontal projection in earthworks: topographic surface, geometric road drainage solutions and
square.
Roofs from the point of view of graph theory, used in the design earthworks.
The use of Voronoi diagrams and Delaunay configuration in the design of excavation geometry and
assumptions geometric earthworks and land-use planning.
Digital terrain visualization method and the natural landscape.
Restitution space, traditional and digital methods.
Influence the development of digital technology in the form of the surrounding space.
Geometric illusion and delusion in architecture and urban planning
Recommended
and required
reading
Required reading
J.Jóźwiak, J.Podgórski , Statystyka od podstaw, PWE, Warszawa 1994
A.Balicki, W.Makać, Metody wnioskowania statystycznego, Wyd. UG, Gdańsk 2000
J.Waligórski, Zasady i zastosowania rzutu cechowanego, WNT, Warszawa, 1961
E. Koźniewski, Geometria dachów, teoria i zastosowanie, Wyd. PB, Białystok, 2007
Recommeded reading
Z. Andrzejowski, W. Pawłowski, S. Przewłocki, Geometria wykreślna w praktyce inżynierskiej, Wyd PŁ, 2002
H. Pottmann, A. Asperl, M. Hofer, A. Kilian, Architectural Geometry, Bentley Institute Press 2007
J. Burry, M. Burry, The new mathematics of architecture, Thames & Hudson, Londyn 2010
http://www.projektowanieparametryczne.pl/?page_id=19
Lesson type and
method of
instruction
Lesson type
Number of study hours
Total number of study hours per semester
included in study plan
Lecture
Tutorial
Laboratory
Project
Seminar
30.0
15.0
0.0
0.0
0.0
45
e-learning hours included: 0.0
Data wydruku:
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Assesment
methods and
criteria
Subject passing criteria
Passing threshold
Percentage of the
final grade
100.0
100.0
Correctness and appeal of design tasks
Example issues / example questions / tasks being completed
1. The group of students was carried out test. Let the random variable X takes the values obtained
ratings (scale four-). Knowing that the ratio of assessments 5, 4, 3, 2 is equal to 1: 3: 4: 2, identify: the
distribution of probabilities, the cumulative distribution function of the random variable X, calculate the EX
and D2X, calculate P (X <3.5), P (3 <X <4.5) using the cumulative distribution
2. For variables with normal distribution to calculate the probability given: a) x ~ N (1, 2) P (| x |> 3), b)
x ~ N (1,5; 2) P (x> 2.6)
3. The project road drainage.
4. Land leveling project - landscaping with different heights (recreational areas, entrance to the
underground garage). Digital visualization.
5. Reconstruction of the geometry of an object in the town square on the basis of photographic materials.
Language of
instructions
Polish
Work placement
Not applicable
Data wydruku:
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