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Course, academic year 2018/2019
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Introductory seminar on mathematics I - NMUM161
Title in English: Matematický proseminář I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:0/2 C [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Additional information:
Note: course can be enrolled in outside the study plan
Guarantor: RNDr. Vlasta Moravcová, Ph.D.
Class: M Bc. OM
M Bc. OM > Doporučené volitelné
M Bc. OM > 1. ročník
M Bc. MZV > Doporučené volitelné
M Bc. MZV > 1. ročník
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Annotation -
Last update: T_KDM (03.05.2012)
The seminar is open to all students from the first year. It helps them to obtain an overview of subjects of high school mathematics (elementary functions, complex numbers, coordinate geometry, methods of proof). Problems with mathematical language, notation, symbolic exposition and logic will be discussed. Interesting and unusual problems will be solved.
Course completion requirements -
Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Credit requirements:

1. Participation in seminars: at most three absences. In exceptional cases (e.g. serious medical reasons) it is possible to cover an absence by completing a home assignment.

2. Active participation or scoring at least 60% in the final test. Active participation includes fulfilling various tasks during the semester, presentations etc. There will be one regular and exactly one resit test. The precise dates will be set by the teacher well in advance.

Literature -
Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Contemporary mathematical textbooks for high schools and books of mathematical problems.

Teaching methods -
Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)

Seminar, homeworks.

Syllabus -
Last update: RNDr. Vlasta Moravcová, Ph.D. (01.10.2018)
  • Functions - elementary functions, definitions, properties, graphs.
  • Equations - some methods of solving algebraic, logarithmical, exponential and trigonometric equations.
  • Complex numbers - definitions, operations.
  • Combinatorics.
  • Mathematical language - definition, axiom, theorem, proposition, proof, types of proofs, notation, symbolical exposition.
  • Interesting problems.

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