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Course info
KMA / VKAN2
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Course description
Department/Unit / Abbreviation
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KMA
/
VKAN2
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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 2
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Form of course completion
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Exam
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Form of course completion
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Exam
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Long Title
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Selected Aspects of Applied Mathematics 2
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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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Lecture
1
[Hours/Week]
Tutorial
1
[Hours/Week]
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Course credit prior to examination
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Yes
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Course credit prior to examination
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Yes
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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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YES
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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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YES
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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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Summer semester
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Semester taught
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Summer 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 |
1|2|3|4 |
Periodicity |
každý rok
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Evaluation scale for credit before examination |
S|N |
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 |
1|2|3|4 |
Evaluation scale for credit before examination |
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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This subject deals basically with the introduction to lineaer algebra.
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Requirements on student
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Credit: written test (required at least 50%). 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.
Exam: witten and oral part.
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Content
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1. Vector algebra - inner and vector product.
2. Applications of vector product in geometry.
3. Analytic geometry in 3D - lines, planes.
4. Matrix. Operations with matrices.
5. Systems of linear algebraic equations.
6. Linear vector space, linear dependence and independence.
7. Integral calculus, indefinite integral.
8. Techniques of integration, substitution, integration by parts.
9. Definite integral. Applications of integral calculus.
10. Differential equations of the 1st order. Methods of solution: separation of variables, variation of parameter.
11. Linear differential equations of the 1nd order, homogeneous, nonhomogeneous, with constant parameters.
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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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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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10
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Preparation for an examination (30-60)
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30
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Contact hours
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26
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Total
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76
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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 basic notions of mathematics to the extent of the course KMA/VKAN1. |
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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 int computing and to show various techniques for solving problems of integral calculus.
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Assessment methods
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Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
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 |
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