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Course info
KMA / VKAM1
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Course description
Department/Unit / Abbreviation
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KMA
/
VKAM1
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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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Selec. Aspects of Applied 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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Long Title
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Selected Aspects of Applied Mathematics 1
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Accredited / Credits
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Yes,
3
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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Lecture
2
[Hours/Week]
Tutorial
1
[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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24 / -
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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 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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None
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Preclusive courses
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KMA/VKAN1
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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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This subject deals basically with fundametals of calculus in extent to a standard first cours of analysis and their application in solving basic problems.
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Requirements on student
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Written test (required at least 50%).
Understanding the subject in the range of lectures and exercises.
Student fulfill requirements for the credit after he /she consults his/her test with the lecturer and presents his/her index for signing the credit.
The contact form for the combined form is 16 + 8 hours per semester.
Other requirements for students are the same for both forms of study.
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Content
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1. Introduction. Basic mathematical notions (sets, statements, quantifiers).
2. Vector algebra - inner and vector product, linear dependence and independence.
3. Analytic geometry in plane and in 3D - lines, planes.
4. Conics and quadratic faces.
5. Functions of one real variable, basic properties.
6. Elementary functions.
7. Limits and continuity of a function.
8. Derivative, tangent line of graph real function, its applications.
9. Extremes of functions, solving optimiyation problems.
10. Integral calculus, indefinite and definite integrals.
11. Techniques of integration, substitution, integration by parts.
12. Applications of integral calculus.
13. Matrix. Operations with matrices.
14. Determinant of a matrix.
15. Systems of linear algebraic equations.
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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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45
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Preparation for comprehensive test (10-40)
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30
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Total
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75
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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: |
Students should be familiar with a high school algebra mathematic.
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Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
Understand basic mathematical operations from high school. |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
N/A |
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Learning outcomes
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Knowledge - knowledge resulting from the course: |
Students are supposed to understand elementary theory of linear space (linear space of matrixes, etc.) as well as vectors and matrix algebra. They will be ready to solve systems of linear algebraic equations. The main objective is to develop basic skills in computing and to show various techniques for solving problems: find the tangent line of graph real function at a given point, solve extremal problems of function or tasks of integral calculus, e.g. calculation of areas. |
Skills - skills resulting from the course: |
Apply the theoretical knowledge of mathematics to a wider application in various specialization areas. |
Competences - competences resulting from the course: |
N/A |
N/A |
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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 |
Skills - skills achieved by taking this course are verified by the following means: |
Test |
Skills demonstration during practicum |
Competences - competence 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: |
Interactive lecture |
Practicum |
Task-based study method |
Self-study of literature |
Skills - the following training methods are used to achieve the required skills: |
Interactive lecture |
Practicum |
Task-based study method |
Self-study of literature |
Competences - the following training methods are used to achieve the required competences: |
Interactive lecture |
Practicum |
Task-based study method |
Self-study of literature |
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