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Principles of Mathematics

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

Course Unit Code470-2101/01
Number of ECTS Credits Allocated2 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
JAH02RNDr. Pavel Jahoda, Ph.D.
Summary
Precalculus is an advanced form of secondary school algebra. Precalculus are intended to prepare students for the study of calculus and includes a review of algebra and trigonometry, as well as an introduction to exponential, logarithmic and trigonometric functions, vectors, complex numbers and analytic geometry.
Learning Outcomes of the Course Unit
Student gets the bysic knowledges and skills which are neresary for further studies at VSB-TUO during the course.
Students are able to evaluate the truth value of the logical statement, explain the difference between the basic numeric sets, edit the algebraic expression to describe the properties of functions, their domains, to quantify the functional values of elementary functions in the notable points and draw the graphs of these functions. In addition, the student is able to solve linear, quadratic, exponential, logarithmic and trigonometric equations and inequalities and to use this skills to solve elementary problems of analytic geometry.
Course Contents
Exercises:
Mathematical logic and set theory. Number domains.
Algebraic expressions.
Functions and their properties.
Exponential, logarithmic and trigonometric functions.
Equation and inequalities.
Analytic geometry.
Recommended or Required Reading
Required Reading:
R. G. Brown, D. P. Robbins: Advanced Mathematics (A Precalculus Course), Houghton Mifflin Comp., Boston 1989.
Libor Šindel: Principles of mathematics (The text is in electronic form).
J. Polák, Přehled středoškolské matematiky, Prometheus, ISBN 80-85849-78-X
J. Polák, Středoškolská matematika v úlohách I, Prometheus.
J. Polák, Středoškolská matematika v úlohách II, Prometheus.
B. Budinský, J. Charvát: Matematika I, SNTL Praha 1987, ISBN 04-011-87.
R. G. Brown, D. P. Robbins: Advanced Mathematics (A Precalculus Course), Houghton Mifflin Comp., Boston 1989.
Recommended Reading:
Richard G. Brown, David P. Robbins, Advanced Mathematics a precalculus course
J. Kuben, P. Šarmanová, Diferenciální počet funkcí jedné proměnné, multimediální výukové CD, VŠB-TU Ostrava, 2006, http://www.am.vsb.cz/sarmanova/cd

Planned learning activities and teaching methods
Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluationCredit30 15