## Repetition of Mathematics 3

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

Course Unit Code Number of ECTS Credits Allocated Type of Course Unit * 230-0223/01 1 ECTS credits Optional First Cycle Second Year Summer Semester Face-to-face Czech Course succeeds to compulsory courses of previous semester KRC23 Mgr. 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. 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. 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. 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 mdg.vsb.cz/M/ www.studopory.vsb.cz/ 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 http://mdg.vsb.cz/M Individual consultations, Tutorials Credit Credit