University of West Bohemia
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for academic year 2024/2025
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Course: Seminar on Mathematics

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Course title Seminar on Mathematics
Course code KMT/MSB
Organizational form of instruction Tutorial
Level of course Bachelor
Year of study 1
Semester Summer
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Hora Jaroslav, Doc. RNDr. CSc.
Course content
Content: 1st week: Revision of concept of mathematical logic. Basic types of proves. 2nd week: Sequences as a model of discrete system. Examples. Sequence notation. Graphical interpretation. Sequence attributes. 3rd week: Geometric sequence ? (...), monotone, convergence and divergence. Theorems about convergent sequences. 4th week: Proves of elemental attributes. Analysis of divergent sequence and (...). 5th week: Number series, convergence and divergence. 6th week: Elemental attributes of function, monotone, injection, inverse function, graphs. 7th week: Limit and continuous function. Examples. 8th week: Derivative, finding derivative, relation to continuity. 9th ? 10th week: Use of derivative for finding extremes and monotone intervals of function. 11th week: Higher order derivatives and differentials. Taylor?s theorem. 12th week: Primitive function. Integration per partes, substitution. 13th week: Rational function integration.

Learning activities and teaching methods
Individual study, Seminar
  • Contact hours - 26 hours per semester
  • Preparation for formative assessments (2-20) - 30 hours per semester
prerequisite
Knowledge
Assumptions Student: - identifies a type of propositional formula, - illustrates the concept of a propositional form and distinguishes a propositional form from a proposition, - applies theoretical knowledge of sets, set operations and Venn diagrams in solving word problems, - uses basic rules for counting real and complex numbers and for algebraic expression transformation, - chooses effective way of solving equations and inequalities, - applies the concept of matrix and rules for operating with them, - understands principles of analytic expression of linear objects, curves and elementary surfaces, is able to express a linear object with a proper equation, - determines a number of permutations, variations and combinations, - understands basics of experimental and theoretical probability.
learning outcomes
Learning outcomes and gained competencies: Students are able to apply basic knowledge of elementary functions of elementary proof of simple statements, handle simple calculations in the field of mathematical analysis.
teaching methods
Seminar
Individual study
assessment methods
Test
Skills demonstration during practicum
Recommended literature
  • Drábek, Jaroslav; Hora, Jaroslav. Algebra. Polynomy a rovnice. 1. vyd. Plzeň : Západočeská univerzita, 2001. ISBN 80-7082-787-4.
  • Hora, Jaroslav. Matematická analýza : pomocný učební text pro studenty 1. ročníku.
  • Hora, Jaroslav. Matematická analýza : pomocný učební text pro studenty 1. ročníku. 5. upr. vyd. Plzeň : Západočeská univerzita, 2004. ISBN 80-7043-298-5.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Geography in Education (1) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
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Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (15) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (18) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (19) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (17) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (18) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (17) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (19) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (15) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (17) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (19) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): English Language in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (19) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (18) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (14) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (18) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Music in Education (19) Category: Art and applied art 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (17) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (17) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (15) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (19) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Geography in Education (19) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Technology and Design in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (18) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physical Education in Education (17) Category: Physical education and sport 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (16) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Biology in Education (16) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Physics in Education (16) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (16) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (15) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Summer
University of West Bohemia, date of update: 26.07.2024 23:53. Data created for academic year 2024/2025