University of West Bohemia
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for academic year 2024/2025
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Course: Mathematical Modelling Methods 1

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Course title Mathematical Modelling Methods 1
Course code KMT/MMM1
Organizational form of instruction Lecture + Tutorial
Level of course Bachelor
Year of study 1
Semester Winter and summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory, Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Coufalová Jana, Doc. PaedDr. CSc.
Course content
1. Propositional calculus, predicate logic 2. Sets, operations, relations, cartesian product of sets, intervals 3. Polynomials, complex numbers 4. Simplifying algebraic expressions 5. Solving equations and inequalities 1 6. Solving equations and inequalities 2 7. Vectors, operations 8. Analytic geometry 1 (linear objects, plane and its parts) 9. Analytic geometry (conic sections, elementary surfaces) 10. Basic operations with matrices 11. Solving systems of linear equations 12. Determinants and their use in solving of equation systems

Learning activities and teaching methods
Students' self-study, Lecture, Practicum
  • Preparation for formative assessments (2-20) - 40 hours per semester
  • Contact hours - 39 hours per semester
prerequisite
Knowledge
Secondary school level of mathematical knowledge is assumed. No prerequisites.
learning outcomes
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. Especially learning, communicative, problem-solving and professional competences are being developed.
teaching methods
Lecture
Practicum
Self-study of literature
assessment methods
Test
Skills demonstration during practicum
Recommended literature
  • učebnice pro gymnázia např. vydavatelství Prometheus.
  • Delventhal, Katka Maria; Kissner, Alfred; Kulick, Malte. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. V Praze : Euromedia Group - Knižní klub, 2004. ISBN 80-242-1227-7.
  • Polák, J. Přehled středoškolské matematiky.. Praha : Prometheus, 2008. ISBN 978-80-7196-356-1.
  • Polák, J. Středoškolská matematika v úlohách II.. Praha, 2011. ISBN 978-80-7196-419-.
  • Polák, J. Středoškolská matematika v úlohách I.. Praha, 2006. ISBN 978-80-7196-337-0.


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 (16) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (18) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (19) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (18) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (15) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (16) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (17) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (19) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Geography in Education (18) Category: Pedagogy, teacher training and social care 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (19) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (19) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (18) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (19) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (16) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (18) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (16) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (17) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (16) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Chemistry in Education (18) Category: Chemistry courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Information Technologies in Education (15) Category: Informatics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Biology in Education (17) Category: Biology courses 1 Recommended year of study:1, Recommended semester: Winter
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: Winter
Faculty: Faculty of Education Study plan (Version): Studies in Mathematics (17) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (15) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (17) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Physics in Education (16) Category: Physics courses 1 Recommended year of study:1, Recommended semester: Winter
University of West Bohemia, date of update: 05.10.2024 23:52. Data created for academic year 2024/2025