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Course info
KMA / SME4
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Course description
Department/Unit / Abbreviation
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KMA
/
SME4
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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 Subject Mathematics 4
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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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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
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XLS
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Course objectives:
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The course focuses on the following areas : basic elements of the differential and integral calculus in Rn, solving the basic problems.
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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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Week 1: Domain of functions of two variables, their graph. Level curves of the function
Week 2: Partial derivatives, chain rule, implicite functions,
Week 3: Fundamental notions of min/max theory in R2.
Week 4: Double integral. Methods to computation.
Week 5: Change of variables in a double integrals
Week 6: Triple integral, methods to computation, change of variables.
Week 7: Scalar field, gradient, directional derivative,
Week 8: Vector fields, divergence and curl. Operator Laplace, Hamilton.
Week 9: Paths and parametrizations. Path integrals of scalar fields.
Week 10: Path integrals of vector fields,
Week 11: Surface integral of scalar fields.
Week 12: Surface integral of vector fields.
Week 13: Integration theorems of vector 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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18
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Preparation for formative assessments (2-20)
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10
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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 mathematical analysis to the extent of the course KMA/ME1. |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
By the end of the course, a successful student should be able to: compute partial derivatives of functions of more variables, evaluate double and triple integrals, change of variables in a double integrals, integration along paths and over surfaces. |
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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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