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Course, academic year 2017/2018
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Introductory Seminar on Mathematics I - NUMV063
English title: Proseminář matematický I
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2012
Semester: winter
E-Credits: 3
Hours per week, examination: winter s.:0/2 C [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Note: it is possible to enroll in the course outside of study plan
Guarantor: prof. RNDr. Martina Bečvářová, Ph.D.
Annotation -
Last update: G_M (30.05.2005)

The seminar is open to all students (future teachers) from the first year. The seminar helps them to obtain an overview of subjects of high school mathematics (elementary functions, complex numbers analytical geometry, proving methods). The problem with mathematical language, notation, symbolic exposition and logic will be discussed. The interesting and unusal problems will be solved.
Literature -
Last update: BECVAROV/MFF.CUNI.CZ (11.05.2008)

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

Teaching methods -
Last update: T_KDM (20.05.2008)

Seminar, homeworks.

Syllabus -
Last update: T_KDM (10.05.2006)

Functions - elementary functions, definitions, properties, graphs.

Equations - some methods for solving algebraic, logarithmical, exponential and goniometrical equations.

Complex numbers - definitions, operations.

Analytical geometry in space - equations of some objects, properties, angles and distances etc.

Combinatorics, probability and mathematical statistics.

Mathematical language - definition, axiom, theorem, proposition, proof, kinds of proofs, notation, symbolical exposition.

Interesing problems.

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