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Repetition of Mathematics 3

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code230-0223/01
Number of ECTS Credits Allocated1 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
KRC23Mgr. Jitka Krčková, Ph.D.
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.
Learning Outcomes of the Course Unit
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
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.
Course Contents
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.
Recommended or Required Reading
Required Reading:
Kučera, Radek: Mathematics III, VŠB – TUO, Ostrava 2005, ISBN 80-248-0802-1
Burda, P., Doležalová, J.: Integrální počet funkcí více proměnných, Matematika IIIb. Skriptum VŠB-TU, Ostrava.
Burda,P.-Doležalová,J.: Cvičení z matematiky IV. Skriptum VŠB-TU, Ostrava
Škrášek,J. a kol.: Základy aplikované matematiky II. SNTL Praha, 1986
Recommended Reading:
James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6
Škrášek, J.-Tichý, Z.: Základy aplikované matematiky II. SNTL Praha, 1986
Planned learning activities and teaching methods
Individual consultations, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing