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Course info
KMA / SM1E
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Course description
Department/Unit / Abbreviation
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KMA
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SM1E
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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 to Mathematics 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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Combined
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Type of completion
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Combined
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Time requirements
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Seminar
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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199 / -
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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 semester
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Semester taught
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Winter semester
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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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KMA/SZM1
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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
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XLS
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Course objectives:
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The course focuses on the following areas : 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 fiction. Vectors, matrix, determinants. Systems of linear equations. Analytic geometry.
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Requirements on student
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It is necessary to obtain at least 60% points from the assignments given lecturer.
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Content
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Vectors, matrices, determinants, eigenvalues, eigenvectors. Systems of linear equations. Analytic geometry. Sequences. Functions of one real variable. Limits and continuity of function. Monotonic functions. Derivatives, concave down (up), extremes of functions. Behaviour of functions. Taylor's theorem. Indefinite and definite integral.
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Activities
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Fields of study
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Guarantors and lecturers
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-
Guarantors:
RNDr. Petr Tomiczek, CSc. (100%),
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Tutorial lecturer:
Doc. RNDr. Jiří Benedikt, Ph.D. (100%),
Doc. Ing. Marek Brandner, Ph.D. (100%),
Prof. Ing. Petr Girg, Ph.D. (100%),
Doc. Ing. Gabriela Holubová, Ph.D. (100%),
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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 formative assessments (2-20)
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10
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Preparation for comprehensive test (10-40)
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18
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Total
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54
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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 vector algebra, analytic geometry in E2 and E3, matrix calculus, systems of linear algebraic equations, compute derivative of fiction, graphs of fiction, determine interval of monotonity and convexity and concavity, optimization problems in R1. |
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Test |
Skills demonstration during practicum |
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Teaching methods
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Knowledge - the following training methods are used to achieve the required knowledge: |
Seminar |
Practicum |
Seminar classes |
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