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ECTS Course Overview



Mathematics 3

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code310-2303/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Choice-compulsory
Level of Course Unit *First Cycle, Second Cycle
Year of Study *
Semester when the Course Unit is deliveredWinter, Summer Semester
Mode of DeliveryFace-to-face
Language of InstructionEnglish
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
KRC76Mgr. Jiří Krček
Summary
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
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.
Course Contents
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
Required Reading:
Lectures in English on school Moodle system - lms.vsb.cz
Studijní materiály v angličtině v Moodle - lms.vsb.cz
Recommended Reading:
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
Lectures, Seminars, Individual consultations, Other activities
Assesment methods and criteria
Tasks are not Defined