714-0238/01 – Repetition of Mathematics 3 (Repet 3)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 1 |
| Subject guarantor | Mgr. Jitka Krčková, Ph.D. | Subject version guarantor | Mgr. Jitka Krčková, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 2 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2013/2014 | Year of cancellation | 2019/2020 |
| Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Goals and competence
Mathematics is an essential part of education on technical universities.
It should be considered rather the method in the study of technical
courses than a goal. Thus the goal of mathematics is train logical
reasoning than mere list of mathematical notions, algorithms and
methods.
Students should learn
how to analyse problems,
distinguish between important and unimportant,
suggest a method of solution,
verify each step of a method,
generalize achieved results,
analyse correctness of achieved results with respect to given conditions,
apply these methods while solving technical problems,
understand that mathematical methods and theoretical advancements outreach the field mathematics.
Teaching methods
Individual consultations
Tutorials
Summary
Repetition of Mathematics 3 is intended for students who, for whatever reasons,
fail the exam of Mathematics I and are interested in passing this exam. Its content essentially coincides with the content of the course Mathematics I. The aim is to enable better understanding of mathematics by the solving of concrete examples and problems. Repetition will focus on the practical part of the exam and they will be solved examples matching the written part of the exam.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
The course is optional and requires the active participation of students registered. Participation on tutorials is obligatory, 20% of absence can be apologized.
E-learning
http://www.studopory.vsb.cz
http://mdg.vsb.cz
(in Czech language)
Other requirements
There are not additional requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Syllabus of tutorial:
Combinatorics. Random events and their operations.
Probabilities of random events - clasical, geometrical, statistical. Conditional probability. Composite probability.
Bernoulli sequence of independent random trials. Bayes formula.
Discrete and continuous random variable. Probability mass and density function. Probability distribution funciton.
Characteristics of random variables.
Basic types of probability distributions of discrete and continuous random variables.
Random vectors, their probabilities distribution and characteristics.
Processing of the statistical sample.
Random selection, point and interval estimates.
Testing of hypothesis - parametrical and nonparametrical tests.
Linear regression. Least square method.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction