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Course info
KMA / SMA1
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Course description
Department/Unit / Abbreviation
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KMA
/
SMA1
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Academic Year
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2023/2024
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Academic Year
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2023/2024
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Title
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Seminar on Mathematical Analysis 1
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Form of course completion
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Pre-Exam Credit
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Form of course completion
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Pre-Exam Credit
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Accredited / Credits
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Yes,
2
Cred.
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Type of completion
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-
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Type of completion
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-
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Time requirements
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Tutorial
2
[Hours/Week]
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Course credit prior to examination
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No
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Course credit prior to examination
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No
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Automatic acceptance of credit before examination
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No
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Included in study average
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NO
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Language of instruction
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Czech
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Occ/max
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Automatic acceptance of credit before examination
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No
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Summer semester
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0 / -
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0 / -
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0 / -
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Included in study average
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NO
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Winter semester
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0 / -
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0 / -
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0 / -
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Repeated registration
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NO
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Repeated registration
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NO
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Timetable
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Yes
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Semester taught
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Winter + Summer
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Semester taught
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Winter + Summer
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Minimum (B + C) students
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1
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Optional course |
Yes
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Optional course
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Yes
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Language of instruction
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Czech
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Internship duration
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0
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No. of hours of on-premise lessons |
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Evaluation scale |
S|N |
Periodicity |
každý rok
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Periodicita upřesnění |
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Fundamental theoretical course |
No
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Fundamental course |
No
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Fundamental theoretical course |
No
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Evaluation scale |
S|N |
Substituted course
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None
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Preclusive courses
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N/A
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Prerequisite courses
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N/A
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Informally recommended courses
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N/A
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Courses depending on this Course
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N/A
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Histogram of students' grades over the years:
Graphic PNG
,
XLS
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Course objectives:
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The course focuses on the following areas :
Sets, statements, mappings, number sets. Convergence criteria for sequences and series. Existence of inverse function. Limit, continuity and differenciability of inverse function. Integrability. Solvability of basic optimalization problems.
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Requirements on student
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It is necessary to obtain at least 50% points from the assignments given lecturer.
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Content
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Elements of the set theory, real numbers; sequence of real numbers; series of real numbers, partial sum, limit of series; convergence and absolute convergence of series, alternating series; real functions of one independent real variable, derivative, differential of function; basic theorems of differential calculus; Taylor formula and derivatives of a higher order, graphs of functions; integral calculus.
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Activities
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Fields of study
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Guarantors and lecturers
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Literature
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Time requirements
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All forms of study
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Activities
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Time requirements for activity [h]
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Contact hours
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26
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Preparation for comprehensive test (10-40)
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26
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Total
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52
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Prerequisites
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Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
There is no prerequisite for this course. Students should be familiar with basic notions of the secondary school. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
On completion of this module the student will be able to solve:
problems from theory of sequence and series, compute derivative of function, draw its graph, determine interval of monotonicity and convexity (concavity), solve extremal problems, solve basic problem of intgral calculus. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Seminar |
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