| Course Unit Code | 310-2303/01 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | First Cycle, Second Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | English |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| KRC76 | Mgr. Jiří Krček |
| Summary |
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Mathematics 3 is connected with Mathematics 1,2.
We have to stress that student can enrol in this course only if he passed the course Mathematics 1 and 2 or an equivalent course.
- Integral calculus of functions of more than one variable
- Double and volume integral. Fubini's Theorem: integrating over regular regions.
- Transformation of variables, polar, cylindrical and spherical coordinates.
- Practical applications of double and volume integral.
- Theory of the field. Scalar and vector fields.
- Curves and their orientation, line integral of a scalar function and its geometrical applications.
- Line integral of a vector function and its physical applications.
- Path independence, Green's theorem. |
| Learning Outcomes of the Course Unit |
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The aim of the subject is to extend the mathematical topics from the bachelor study. Students will become familiar with systems of linear differential equations, double, triple and line integrals and with basic concepts from field theory.
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| Course Contents |
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1. Double integral and its applications.
2. Triple integral and its applications.
3. Theory of the field, scalr and vector fields.
4. Line integrals a nd their applications.
5. Systems of ODE, elimination and Euler's method. |
| Recommended or Required Reading |
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| Required Reading: |
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| Lectures in English on school Moodle system - lms.vsb.cz |
| Studijní materiály v angličtině v Moodle - lms.vsb.cz |
| Recommended Reading: |
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Neustupa J., Kračmar S.: Mathematics II. ČVUT, Praha 1998.
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language) |
Neustupa J., Kračmar S.: Mathematics II. ČVUT, Praha 1998.
http://www.studopory.vsb.cz/studijnimaterialy/MatematikaIII/Matematika3_obsah.pdf (in czech language) |
| Planned learning activities and teaching methods |
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| Lectures, Seminars, Individual consultations, Other activities |
| Assesment methods and criteria |
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| Tasks are not Defined |